Ncert exemplar solutions mathematics class 7 Solutions for Chapter 3 data handling

The bar graph given below represents the circulation of newspapers (dailies) in a town in six languages (the figures are approximated to hundreds).

How many more newspapers are circulated in Punjabi than those in Tamil

Observe the following data:

What percentage of class VI students were absent?

Observe the following data:

In which class, the difference of total students and number of students present is minimum?

The marks out of 100 obtained by Kunal and Soni in the half yearly examination are given below:

In how many subjects did Soni get more marks than Kunal?

Observe the following data:

Find the ratio of number of students present to the total number of students of class IX.

Observe the following data:

On which all days of the week was the sale above the average sales?

Observe the following data:

Find the total sales during the week.

Observe the following data:

Calculate the average sale during the week.

Observe the following data:

On which day of the week was the sales maximum?

Observe the following data:

Find the ratio of the minimum sale to the maximum sale.

Below is a list of 10 tallest buildings in India.

This list ranks buildings in India that stand atleast 150 m (492 ft.) tall, based and standard height measurement. This includes spires and architectural details but does not include antenna marks. Following data in given as per the available information till 2009. Since, new buildings are always under construction, go online to check new taller buildings.

Find the median of the data.

Below is a list of 10 tallest buildings in India.

This list ranks buildings in India that stand atleast 150 m (492 ft.) tall, based and standard height measurement. This includes spires and architectural details but does not include antenna marks. Following data in given as per the available information till 2009. Since, new buildings are always under construction, go online to check new taller buildings.

Which city in this list has the largest percentage of skyscrapers?

Below is a list of 10 tallest buildings in India.

This list ranks buildings in India that stand atleast 150 m (492 ft.) tall, based and standard height measurement. This includes spires and architectural details but does not include antenna marks. Following data in given as per the available information till 2009. Since, new buildings are always under construction, go online to check new taller buildings.

Find the height of one story of Ashok Tower.

Below is a list of 10 tallest buildings in India.

This list ranks buildings in India that stand atleast 150 m (492 ft.) tall, based and standard height measurement. This includes spires and architectural details but does not include antenna marks. Following data in given as per the available information till 2009. Since, new buildings are always under construction, go online to check new taller buildings.

Find the height of one story of the Imperial II.

Below is a list of 10 tallest buildings in India.

This list ranks buildings in India that stand atleast 150 m (492 ft.) tall, based and standard height measurement. This includes spires and architectural details but does not include antenna marks. Following data in given as per the available information till 2009. Since, new buildings are always under construction, go online to check new taller buildings.

Find the height of one story of The Imperial I.

Below is a list of 10 tallest buildings in India.

This list ranks buildings in India that stand atleast 150 m (492 ft.) tall, based and standard height measurement. This includes spires and architectural details but does not include antenna marks. Following data in given as per the available information till 2009. Since, new buildings are always under construction, go online to check new taller buildings.

Find the height of The Imperial II .

Below is a list of 10 tallest buildings in India.

This list ranks buildings in India that stand atleast 150 m (492 ft.) tall, based and standard height measurement. This includes spires and architectural details but does not include antenna marks. Following data in given as per the available information till 2009. Since, new buildings are always under construction, go online to check new taller buildings.

What is the range of data?

Below is a list of 10 tallest buildings in India.

This list ranks buildings in India that stand atleast 150 m (492 ft.) tall, based and standard height measurement. This includes spires and architectural details but does not include antenna marks. Following data in given as per the available information till 2009. Since, new buildings are always under construction, go online to check new taller buildings.

Find the average height of one storey for the buildings The Imperial I, The Imperial II, Ashok Tower.

Below is a list of 10 tallest buildings in India.

This list ranks buildings in India that stand atleast 150 m (492 ft.) tall, based and standard height measurement. This includes spires and architectural details but does not include antenna marks. Following data in given as per the available information till 2009. Since, new buildings are always under construction, go online to check new taller buildings.

Find the number of floors of Ashok Tower.

The marks out of 100 obtained by Kunal and Soni in the half yearly examination are given below:

Calculate the total percentage of marks obtained by Soni.

The marks out of 100 obtained by Kunal and Soni in the half yearly examination are given below:

Compare the percentages of marks obtained by Kunal and Soni.

The marks out of 100 obtained by Kunal and Soni in the half yearly examination are given below:

Calculate the total percentage of marks obtained by Kunal.

The marks out of 100 obtained by Kunal and Soni in the half yearly examination are given below:

In which subject the difference of marks was maximum ?

The marks out of 100 obtained by Kunal and Soni in the half yearly examination are given below:

How much was the difference in maximum marks?

The marks out of 100 obtained by Kunal and Soni in the half yearly examination are given below:

Who got more marks in S. Science and what was the difference of marks?

The table below gives the data of tourists visiting 5 hill stations over two consecutive years. Study the table and answer questions that follow:

Which hill station was visited by the maximum number of tourists in 2008?

The students of class VII have to choose one club from Music, Dance, Yoga, Dramatics, Fine arts and Electronics clubs. The data given below shows the choices made by girls and boys of the class. Study the table and answer the question:

For which club the difference between boys and girls is the least?

The students of class VII have to choose one club from Music, Dance, Yoga, Dramatics, Fine arts and Electronics clubs. The data given below shows the choices made by girls and boys of the class. Study the table and answer the question:

Which is the least preferred club by girls?

The students of class VII have to choose one club from Music, Dance, Yoga, Dramatics, Fine arts and Electronics clubs. The data given below shows the choices made by girls and boys of the class. Study the table and answer the question:

Which is the most preferred club by boys?

The students of class VII have to choose one club from Music, Dance, Yoga, Dramatics, Fine arts and Electronics clubs. The data given below shows the choices made by girls and boys of the class. Study the table and answer the question:

How many students are there in class VII?

The data given below shows the production of motor bikes in a factory for some months of two consecutive years.

In which month for the year 2007, the production was the least?

The data given below shows the production of motor bikes in a factory for some months of two consecutive years.

Find the mean production for the year 2007.

The data given below shows the production of motor bikes in a factory for some months of two consecutive years.

For which month was the difference between the production for the two years the maximum?

The data given below shows the production of motor bikes in a factory for some months of two consecutive years.

In which month for the year 2008, the production was the maximum?

The students of class VII have to choose one club from Music, Dance, Yoga, Dramatics, Fine arts and Electronics clubs. The data given below shows the choices made by girls and boys of the class. Study the table and answer the question:

For which dub is the difference between boys and girls the maximum?

The table below compares the population (in hundreds) of 4 towns over two years:

In which town was the population growth least?

The table below compares the population (in hundreds) of 4 towns over two years:

In which town was the population growth maximum?

The table below gives the data of tourists visiting 5 hill stations over two consecutive years. Study the table and answer questions that follow:

In which hill stations was there increase in number of tourists in 2009?

The table below gives the flavours of ice-cream liked by children (boys and girls) of a society.

Find the ratio of children who liked strawberry flavour to vanilla flavour of ice-cream.

The table below gives the flavours of ice-cream liked by children (boys and girls) of a society.

How many girls are there in all?

The table below gives the flavours of ice-cream liked by children (boys and girls) of a society.

Which flavour is liked the most by the boys?

The table below gives the flavours of ice-cream liked by children (boys and girls) of a society.

How many children like chocolate flavor of ice cream?

Observe the given bar graph carefully and answer the questions that follow.

Calculate the increase in production in May over the production in January.

Study the bar graph given below and answer the questions that follow:

Calculate the average marks of the student.

The median of the data: 3, 4, 5, 6, 7, 3, 4 is ________

Study the double bar graphs given below and answer the following questions:

Which sport is liked the most by class VIII students?

The bar graph given below represents the circulation of newspapers (dailies) in a town in six languages (the figures are approximated to hundreds).

Find the total number of newspapers circulated in Hindi, English and Marathi.

A coin is tossed 15 times and the outcomes are recorded as follows:

H T T H T H H H T T H T H T T.

The chance of occurrence of a head is exactly 50 percent.

A car seller collects the following data of cars sold in his shop:

Which colour of the car is most liked?

The following are weights (in kg) of 12 persons:

70, 62, 54, 57, 62, 84, 75, 59, 62, 65, 78, 60

How many people weight above the mean weight?

Observe the following data:

Which class has the maximum number of students?

In a public library, the following observations were recorded by the librarian in a particular week.

On which day, the number of readers in the library was maximum?

Following cards are put facing down

What is the chance of drawing out a vowel?

The mean of three numbers is 40. All the three numbers are different natural numbers. If lowest is 19, what could be highest possible number of remaining two numbers?

On tossing a coin, the outcome is _________

The mean of a data is defined as _________.

The probability of an event which is impossible to happen is _________.

Rohit collected the data regarding weights of students of his class and prepared the following table:

A student is to be selected randomly from his class for some competition. The probability of selection of the student is highest whose weight is in the interval ________ .

The representation of data with bars of uniform width is called _________ graph.

Let x, y, z be three observations. The mean of these observations is ________.

The number of trees in different parks of a city are 33, 38, 48, 33, 34, 34, 33 and 24. The mode of this data is ___________.

Which measures of central tendency get affected if the extreme observations on both the ends of a data arranged in descending order are removed?

The range of the data: 21, 6, 17, 18, 12, 8, 4, 13 is

Out of 5 brands of chocolates in a shop, a boy has to purchase the brand which is most liked by children. What measure of central tendency would be most appropriate if the data is provided to him?

Which measure of central tendency best represents the data of the most popular politician after a debate?

The difference between the highest and the lowest observations of a data is called _________.

When a die is thrown, the probability of getting a number less than 7 is _________.

There are 2 aces in each of the given set of cards placed face down. What is the probability of picking up an ace from the set?

In a school, only 2 out of 5 students can participate in a quiz. What is the percent chance that a student picked at random makes it to the competition?

The difference between the highest and the lowest observations in a data is its _______.

Some integers are marked on a board. What is the range of these integers?

Khilona earned scores of 97, 73 and 88 respectively in her first three examinations. If she scored 80 in the fourth examination, then her average score will be

Which of the following has the same mean, median and mode?

Mean, Median, Mode are the measures of amount of data.

In a set of observations, the observation that occurs the most often is called _________.

When a given data, arranged in ascending or descending order, the middle most observation is called ____________.

If a die is thrown, the probability of getting a number greater than 6 is 1.

If the extreme observations on both the ends of a data arranged in ascending order are removed, the median gets affected.

Median is one of the observations in the data if number of observations is _________.

_________ graph can be used to compare two collections of data.

The probability of an event which is certain to happen is _________.

If the arithmetic mean of 8, 4, x, 6, 2, 7 is 5, then the value of x is _________.

The median of any data lies between the _________ and _________ observations.

When a die is thrown, the number of possible outcomes is ___________.

Calculate the mean, median, and mode of the following data:

5, 10, 10, 12, 13

All three are equal.

The range of the data 3, 7, 1, –2, 2, 6, –3, –5 would change if 8 was added to each value in the data.

The data 12, 13, 14, 15, 16 has every observation as mode.

The range of the data 2, –5, 4, 3, 7, 6 would change if 2 was subtracted from each value in the data.

Mean can never be a fraction.

Mode of the data is always from the given data.

Mean of the observations can be lesser than each of the observations.

Mean, Median and Mode may be the same for some data.

Range of the data is always from the data.

The probability of getting an ace out of a deck of cards is greater than 1.

Median of the data may or may not be from the given data.

Mean of the data is always from the given data.

The probability of the spinning arrow stopping in the shaded region is ½.

What is the mean of the first ten even natural numbers?

It is impossible to get a sum of 12 of the numbers on both dice when a pair of dice is thrown together.

The measures of central tendency may not lie between the maximum and minimum values of data.

When a coin is tossed, there are 2 possible outcomes.

There are 2 aces in each of the given set of cards placed face down. From which set are you certain to pick the two aces in the first go?

The marks in a subject for 12 students are as follows:

31, 37, 35, 38, 42, 23, 17, 18, 35, 25, 35, 29.

For the given data, what is the range?

A car seller collects the following data of cars sold in his shop:

Which measure of central tendency should be used to find the most liked car)?

The marks in a subject for 12 students are as follows:

31, 37, 35, 38, 42, 23, 17, 18, 35, 25, 35, 29.

For the given data, what is the mean?

The following are weights (in kg) of 12 persons:

70, 62, 54, 57, 62, 84, 75, 59, 62, 65, 78, 60

What is the mean of the weights of the people?

The marks in a subject for 12 students are as follows:

31, 37, 35, 38, 42, 23, 17, 18, 35, 25, 35, 29.

For the given data, what is the median?

The marks in a subject for 12 students are as follows:

31, 37, 35, 38, 42, 23, 17, 18, 35, 25, 35, 29.

For the given data, what is the mode?

For the given data below, calculate the mean of its median and mode and write the correct answer.

6, 2, 5, 4, 3, 4, 4, 2, 3

Following cards are put facing down

What is the chance of drawing out a consonant?

What is the probability of the sun setting tomorrow?

Following cards are put facing down

What is the chance of drawing out a card marked U?

What is the median of the given data, if the mean is 4.5?

5, 7, 7, 8, x, 5, 4, 3, 1, 2

What is the median of first nine even natural numbers?

What is the probability that a student chosen at random out of 3 girls and 4 boys is a boy?

Classify, the following events as certain to happen, impossible to happen, may or may not happen.

A ball thrown up in the air will fall down after sometime.

The letters written on paper slips of the word MEDIAN and put in a bag. If one slip is drawn randomly, what is the probability that it bears the letter D?

Classify, the following events as certain to happen, impossible to happen, may or may not happen.

Getting a number less than 1 on throwing a die.

Classify, the following events as certain to happen, impossible to happen, may or may not happen.

A team winning the match

The mean of three numbers is 10. The mean of other four numbers is 12. What is the mean of all the numbers?

Classify, the following events as certain to happen, impossible to happen, may or may not happen.

Today moon will not revolve around the earth.

Classify, the following events as certain to happen, impossible to happen, may or may not happen.

Getting head when a coin is tossed.

A die was thrown 15 times and the outcomes recorded were

5, 3, 4, 1, 2, 6, 4, 2, 2, 3, 1, 5, 6, 1, 2.

What is the mean?

A die was thrown 15 times and the outcomes recorded were:

5, 3, 4, 1, 2, 6, 4, 2, 2, 3, 1, 5, 6, 1, 2.

What is the median?

Given below are heights of 15 boys of a class measured in centimetres:

128, 144, 146, 143, 136, 142, 138, 129, 140, 152, 144, 140, 150, 142, 154.

What is the range of the given data?

What is the mode of the given data?

10, 8, 4, 7, 8, 11, 15, 8, 6, 8

A die was thrown 15 times and the outcomes recorded were

5, 3, 4, 1, 2, 6, 4, 2, 2, 3, 1, 5, 6, 1, 2.

What is the mode?

What is the mean of first six multiples of 4?

Given below are heights of 15 boys of a class measured in centimetres:

128, 144, 146, 143, 136, 142, 138, 129, 140, 152, 144, 140, 150, 142, 154.

What is the height of the shortest boy?

Observe the data and answer the questions that follow:

16, 15, 16, 16, 8, 15, 17

What is the least number of data values that must be put into change the mode to 17?

Given below are heights of 15 boys of a class measured in centimeters:

128, 144, 146, 143, 136, 142, 138, 129, 140, 152, 144, 140, 150, 142, 154.

What is the height of the tallest boy (in cm)?

Age (in years) of 6 children of two groups are recorded as below:

What is the mode of Group A?

Given below are heights of 15 boys of a class measured in centimetres:

128, 144, 146, 143, 136, 142, 138, 129, 140, 152, 144, 140, 150, 142, 154.

What is the median height of the boys?

Observe the data and answer the questions that follow:

16, 15, 16, 16, 8, 15, 17

Which data value can be put in the data so that the mode remains the same?

Observe the data and answer the questions that follow:

16, 15, 16, 16, 8, 15, 17

At least how many times 15 must be put in to change the mode to 15?

Age (in years) of 6 children of two groups are recorded as below:

What is the mode of Group B?

When a spinner with three colours given in figure is rotated, which colour has more chance to show up with arrow than the others?

Age (in years) of 6 children of two groups are recorded as below:

What is the range of Group A?

Age (in years) of 6 children of two groups are recorded as below:

What is the range of Group B?

Observe the given bar graph carefully and answer the questions that follow.

How many motor bikes were produced in the first three months?

The bar graph given below shows the marks of students of a class in a particular subject:

What is the strength of the class?

Observe the given bar graph carefully and answer the questions that follow.

Calculate the average (mean production of bikes in 6 months).

The bar graph given below shows the marks of students of a class in a particular subject:

If students who scored marks above 80 are given merits, then how many merit holders are three?

The bar graph given below shows the marks of students of a class in a particular subject:

If 40 is the pass marks, then how many students have failed?

The bar graph given below shows the marks of students of a class in a particular subject:

How many students got marks from 50 to 69?

The bar graph given below shows the marks of students of a class in a particular subject:

How many students scored 90 marks and above?

Observe the given bar graph carefully and answer the questions that follow.

In which month the production was minimum and what was it?

Following cards are put facing down

What is the chance of drawing out an A or I ?

The following are weights (in kg) of 12 persons:

70, 62, 54, 57, 62, 84, 75, 59, 62, 65, 78, 60

What is the range of the given data?

Study the graph given below and answer the questions that follow:

In which year was production the least?

Study the graph given below and answer the questions that follow:

After which year was the maximum rise in the production?

Study the graph given below and answer the questions that follow:

Find difference of rice production between years 2006 and 2008.

Study the graph given below and answer the questions that follow:

Find the average production of rice during the 5 years.

Study the bar graph given below and answer the questions that follow:

If 75 and above marks denote a distinction, then name the subjects in which the student got distinction.

Study the bar graph given below and answer the questions that follow:

In which subject is the student very good?

Study the bar graph given below and answer the questions that follow:

Calculate the percentage of marks the student got out of 500.

The bar graph given below represents the circulation of newspapers (dailies) in a town in six languages (the figures are approximated to hundreds).

Find the excess number of newspapers read in Hindi than those in English.

The bar graph given below represents the circulation of newspapers (dailies) in a town in six languages (the figures are approximated to hundreds).

Name the language in which the least number of newspapers are read.

Study the double bar graphs given below and answer the following questions:

How many students are there in class VII?

Study the double bar graphs given below and answer the following questions:

Find the ratio of students who like Badminton in class VII to students who like Tennis in class VIII.

Study the double bar graphs given below and answer the following questions:

How many students of class VII like Hockey and Tennis in all?

Study the double bar graphs given below and answer the following questions:

For which sport is the number of students of class VII less than that of class VIII?

Study the double bar graph and answer the questions that follow:

In which sections, number of girls is greater than number of boys?

Study the double bar graph shown below and answer the questions that follow:

Find the average sales of brand B for the six months.

Study the double bar graphs given below and answer the following questions:

For how many sports students of class VIII are less than class VII?

Study the double bar graph shown below and answer the questions that follow:

Find the ratio of sales of brand A as compared to brand B for the month of January.

Study the double bar graph shown below and answer the questions that follow:

What is the difference in sales of both the brands for the month of June?

Study the double bar graph shown below and answer the questions that follow:

List all months for which the sales of brand B was less than that of brand.

Study the double bar graph shown below and answer the questions that follow:

In which month sales of brand A decreased as compared to the previous month?

The bar graph given below represents the circulation of newspapers (dailies) in a town in six languages (the figures are approximated to hundreds).

Write the total circulation of newspaper in the town.

Study the double bar graph shown given below and answer the question that follow:

In which month is the variation in the two temperatures maximum?

Study the double bar graph shown given below and answer the question that follow:

Calculate the ratio of minimum temperatures in the year 2008 to the year 2009 for the month of November.

Study the double bar graph shown given below and answer the question that follow:

Find the average minimum temperature for the year 2008 for the four months.

Study the double bar graph shown given below and answer the question that follow:

For how many months was the minimum temperature in the year 2008 greater than that of year 2009? Name those months.

Study the double bar graph and answer the questions that follow:

In which section, the number of boys is the maximum?

Study the double bar graph and answer the questions that follow:

In which section, the number of girls is the least?

Study the double bar graph and answer the questions that follow:

Find the total number of boys in all sections of class VII.

The bar graph given below represents the circulation of newspapers (dailies) in a town in six languages (the figures are approximated to hundreds).

Study the bar graph and find the total number of newspapers read in Punjabi, Hindi, Marathi, Urdu, and Tamil.

In a public library, the following observations were recorded by the librarian in a particular week.

What is the mean number of magazine readers?

The data given below shows the production of motor bikes in a factory for some months of two consecutive years.

In which year was the total output the maximum?

Let x, y, z be three observations. The mean of these observations is

(a) (x × y × z)/3 (b) (x + y + z)/3

(c) (x – y – z)/3 (d) (x × y + z)/3

The number of trees in different parts of a city is 33, 38, 48, 33, 34, 34, 33, and 24. The mode of this data is

(a) 24 (b) 34 (c) 33 (d) 48

Which measures of central tendency get affected if the extreme observations on both the ends of a data arranged in descending order are removed?

(a) Mean and mode (b) Mean and Median

(c) Mode and Median (d) Mean, Median and Mode

In the previous question, what is the probability of picking up an ace from the set (d)?

(a) 1/6 (b) 2/6 (c) 3/6 (d) 4/6

The range of the data: 21, 6, 17, 18, 12, 8, 4, 13 is

(a) 17 (b) 12 (c) 8 (d) 15

The median of the data: 3, 4, 5, 6, 7, 3, 4 is

(a) 5 (b) 3 (c) 4 (d) 6

Out of 5 brands of chocolates in a shop, a boy has to purchase the brand which is most liked by children. What measure of central tendency would be most appropriate if the data is provided to him?

(a) Mean (b) Mode

(c) Median (d) Any of the three

There are 2 aces in each of the given set of cards placed face down. From which setting are you certain to pick the two aces in the first go?

The difference between the highest and the lowest observations in data is its

(a) frequency (b) width (c) range (d) mode

In a school, only 2 out of 5 students can participate in a quiz. What is the chance that a student picked at random makes it to the competition?

(a) 20% (b) 40% (c) 50% (d) 30%

Some integers are marked on aboard. What is the range of these integers?

(a) 31 (b) 37 (c) 20 (d) 3

On tossing a coin, the outcome is

(a) only head

(b) only tail

(c) neither head nor tail

(d) either head or tail

The mean of the three numbers is 40. All three numbers are different natural numbers. If the lowest is 19, what could be the highest possible number of the remaining two numbers?

(a) 81 (b) 40 (c) 100 (d) 71

Khilona earned scores of 97, 73 and 88 respectively in her first three examinations. If she scored 80 in the fourth examination, then her average score will be

(a) increased by 1 (b) increased by 1.5

(c) decreased by 1 (d) decreased by 1.5

Which measure of central tendency best represents the data of the most popular politician after a debate?

(a) Mean (b) Median (c) Mode (d) Any of the above

Which of the following has the same mean, median and mode?

(a) 6, 2, 5, 4, 3, 4, 1 (b) 4, 2, 2, 1, 3, 2, 3

(c) 2, 3, 7, 3, 8, 3, 2 (d) 4, 3, 4, 3, 4, 6, 4

The difference between the highest and the lowest observations of a data is called _________.

The mean of a data is defined as _________.

In a set of observations, the observation that occurs the most often is called _________.

In a given data, arranged in ascending or descending order, the middlemost observation is called _________.

Mean, Median, Mode are the measures of _________.

The probability of an event which is certain to happen is _________.

The probability of an event which is impossible to happen is _________.

When a die is thrown, the probability of getting a number less than 7 is _________.

In throwing a die the number of possible outcomes is _________.

_________ can be used to compare two collections of data.

The representation of data with bars of uniform width is called _________.

If the arithmetic mean of 8, 4, x, 6, 2, 7 is 5, then the value of x is _________.

The median of any data lies between the _________ and _________ observations.

Median is one of the observations in the data if the number of observations is _________.

Rohit collected the data regarding weights of students of his class and prepared the following table:

A student is to be selected randomly from his class for some competition. The probability of selection of the student is the highest whose weight is in the interval.

If a die is thrown, the probability of getting a number greater than 6 is 1.

When a coin is tossed, there are 2 possible outcomes.

If the extreme observations on both the ends of a data arranged in ascending order are removed, the median gets affected.

The measures of central tendency may not lie between the maximum and minimum values of data.

It is impossible to get a sum of 14 of the numbers on both dice when a pair of dice are thrown together.

The probability of the spinning arrow stopping in the shaded region is ½.

A coin is tossed 15 times and the outcomes are recorded as follows:

H T T H T H H H T T H T H T T. The chance of occurence of a head is 50 percent.

Mean, Median, and Mode may be the same for some data.

The probability of getting an ace out of a deck of cards is greater than 1.

The mean of the data is always from the given data.

The median of the data may or may not be from the given data.

The mode of the data is always from the given data.

The mean of the observations can be lesser than each of the observations.

The mean can never be a fraction.

The range of the data is always from the data.