R d sharma solutions mathematics class 7 Solutions for Chapter 23 data handling central values

Ashish studies for 4 hours, 5 hours and 3 hours on three consecutive days. How many hours does he study daily on an average?

A cricketer scores the following runs in 8 innings: 58, 76, 40, 35, 48, 45, 0, 100.

Find the mean score.

The marks (out of 100) obtained by a group of students in science test are 85, 76, 90, 84, 39, 48, 56, 95, 81 and 75. Find the

(i) Highest and the lowest marks obtained by the students.

(ii) Range of marks obtained.

(iii) Mean marks obtained by the group.

The enrolment of a school during six consecutive years was as follows:

1555, 1670, 1750, 2019, 2540, 2820

Find the mean enrolment of the school for this period.

The rainfall (in mm) in a city on 7 days of a certain week was recorded as follows:

(i) Find the range of rainfall from the above data.

(ii) Find the mean rainfall for the week.

(iii) On how many days was the rainfall less than the mean rainfall.

If the heights of 5 persons are 140 cm, 150 cm, 152 cm, 158 cm and 161 cm respectively, find the mean height.

Find the mean of 994, 996, 998, 1002 and 1000.

Find the mean of first five natural numbers.

Find the mean of all factors of 10.

Find the mean of first 10 even natural numbers.

Find the mean of x, x + 2, x + 4, x + 6, x + 8

Find the mean of first five multiples of 3.

Following are the weights (in kg) of 10 new born babies in a hospital on a particular day: 3.4, 3.6, 4.2, 4.5, 3.9, 4.1, 3.8, 4.5, 4.4, 3.6 Find the mean

The percentage of marks obtained by students of a class in mathematics are:64, 36, 47, 23, 0, 19, 81, 93, 72, 35, 3, 1 Find their mean.

The numbers of children in 10 families of a locality are: 2, 4, 3, 4, 2, 3, 5, 1, 1, 5 Find the mean number of children per family.

The mean of marks scored by 100 students was found to be 40. Later on it was discovered that a score of 53 was misread as 83. Find the correct mean.

The mean of five numbers is 27. If one number is excluded, their mean is 25. Find the excluded number.

The mean weight per student in a group of 7 students is 55 kg. The individual weights of 6 of them (in kg) are 52, 54, 55, 53, 56 and 54. Find the weight of the seventh student.

The mean weight of 8 numbers is 15 kg. If each number is multiplied by 2, what will be the new mean?

The mean of 5 numbers is 18. If one number is excluded, their mean is 16. Find the excluded number.

The mean of 200 items was 50. Later on, it was discovered that the two items were misread as 92 and 8 instead of 192 and 88. Find the correct mean.

The mean of 5 numbers is 27. If one more number is included, then the mean is 25. Find the included number.

The mean of 75 numbers is 35. If each number is multiplied by 4, find the new mean.

A die was thrown 20 times and the following scores were recorded: 5, 2, 1, 3, 4, 4, 5, 6, 2, 2, 4, 5, 5, 6, 2, 2, 4, 5, 5, 1. Prepare the frequency table of the scores on the upper face of the die and find the mean score.

The daily wages (in Rs) of 15 workers in a factory are given below: 200, 180, 150, 150, 130, 180, 180, 200, 150, 130, 180, 180, 200, 150, 180

Prepare the frequency table and find the mean wage.

The following table shows the weights (in kg) of 15 workers in a factory:

Calculate the mean weight.

The ages (in years) of 50 students of a class in a school are given below:

Find the mean age.

Calculate the mean for the following distribution:

Find the mean of the following data:

The mean of the following data is 20.6. Find the value of p.

If the mean of the following data is 15, find p.

Find the value of p for the following distribution whose mean is 16.6

Find the missing value of p for the following distribution whose mean is 12.58

Find the missing frequency (p) for the following distribution whose mean is 7.68

Find the value of p, if the mean of the following distribution is 20

Find the median of the following data (1 – 8)

1. 83, 37, 70, 29, 45, 63, 41, 70, 34, 54

133, 73, 89, 108, 94,104, 94, 85, 100, 120

31, 38, 27, 28, 36, 25, 35, 40

15, 6, 16, 8, 22, 21, 9, 18, 25

41, 43,127, 99, 71, 92, 71, 58, 57

25, 34, 31, 23, 22, 26, 35, 29, 20, 32

12, 17, 3, 14, 5, 8, 7, 15

92, 35, 67, 85, 72, 81, 56, 51, 42, 69

Numbers 50, 42, 35, 2x +10, 2x – 8, 12, 11, 8, 6 are written in descending order and their median is 25, find x.

Find the median of the following observations: 46, 64, 87, 41, 58, 77, 35, 90, 55, 92, 33. If 92 is replaced by 99 and 41 by 43 in the above data, find the new median?

Find the median of the following data: 41, 43, 127, 99, 61, 92, 71, 58, 57, If 58 is replaced by 85, what will be the new median?

The weights (in kg) of 15 students are: 31, 35, 27, 29, 32, 43, 37, 41, 34, 28, 36, 44, 45, 42, 30. Find the median. If the weight 44 kg is replaced by 46 kg and 27 kg by 25 kg, find the new median.

The following observations have been arranged in ascending order. If the median of the data is 63, find the value of x: 29, 32, 48, 50, x, x + 2, 72, 78, 84, 95

Find the mode and median of the data: 13, 16, 12, 14, 19, 12, 14, 13, 14 By using the empirical relation also find the mean.

Find the median and mode of the data: 35, 32, 35, 42, 38, 32, 34

Find the mode of the data: 2, 6, 5, 3, 0, 3, 4, 3, 2, 4, 5, 2, 4

The runs scored in a cricket match by 11 players are as follows:

6, 15, 120, 50, 100, 80, 10, 15, 8, 10, 10

Find the mean, mode and median of this data.

Find the mode of the following data:

12, 14, 16, 12, 14, 14, 16, 14, 10, 14, 18, 14

Heights of 25 children (in cm) in a school are as given below:

168, 165, 163, 160, 163, 161, 162, 164, 163, 162, 164, 163, 160, 163, 163, 164, 163, 160, 165, 163, 162

What is the mode of heights?

Also, find the mean and median.

The scores in mathematics test (out of 25) of 15 students are as follows:

19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20

Find the mode and median of this data. Are they same?

Calculate the mean and median for the following data:

Using empirical formula, find its mode.

The following table shows the weights of 12 persons.

Find the median and mean weights. Using empirical relation, calculate its mode.