Jump to

Exercises in Chapter 13 statistics and probability Grade 10

Questions in Statistics and Probability - Exercise 13.1

**Consider the following frequency distribution:**

Class | 1 - 5 | 6 - 10 | 11 - 15 | 16 - 20 | 21 - 25 |
---|---|---|---|---|---|

Frequency | 13 | 10 | 15 | 8 | 11 |

**The upper limit of the median class is**

**Consider the data :**

Class | Frequency |
---|---|

65-85 | 4 |

85-105 | 5 |

105-125 | 13 |

125-145 | 20 |

145-165 | 14 |

165-185 | 7 |

185-205 | 4 |

**The difference of the upper limit of the median class and the lower limit of the modal class is**

**For the following distribution:**

Marks | Number of students |
---|---|

Below 10 | 3 |

Below 20 | 12 |

Below 30 | 27 |

Below 40 | 57 |

Below 50 | 75 |

Below 60 | 80 |

**The modal class is**

Questions in Statistics and Probability - Exercise 13.2

Questions in Statistics and Probability - Exercise 13.3

**The weight of coffee in 70 packets are shown in the following table:**

Weight (in g) | Number of packets |
---|---|

200-201 | f |

201-202 | 26 |

202-203 | 20 |

203-204 | 9 |

204-205 | 2 |

205-206 | 1 |

**If the modal weight is 201.7 kg then find the missing frequency.**

**The weight of coffee in 70 packets are shown in the following table:**

Weight (in g) | Number of packets |
---|---|

200-201 | 12 |

201-202 | 26 |

202-203 | 20 |

203-204 | 9 |

204-205 | 2 |

205-206 | 1 |

What is the modal class of given data?

**The mileage (km per litre) of 50 cars of the same model was tested by a manufacturer and details are tabulated as given below** :

Mileage (km/l) | Number of cars |
---|---|

10-12 | 7 |

12-14 | 12 |

14-16 | 18 |

16-18 | 13 |

**Find the mean mileage.**

**The daily income of a sample of 50 employees are tabulated as follows:**

Income (in Rs) | Number of employees |
---|---|

1-200 | 14 |

201-400 | 15 |

401-600 | 14 |

601-800 | 7 |

**Find the mean daily income of employees by the assumed mean method.**

**The weight of coffee in 70 packets are shown in the following table :**

Weight (in g) | Number of packets |
---|---|

200-201 | 12 |

201-202 | 26 |

202-203 | 20 |

203-204 | 9 |

204-205 | 2 |

205-206 | 1 |

**Determine the modal weight.**

**Find the mean of the distribution :**

Class | Frequency |
---|---|

1-3 | 9 |

3-5 | 22 |

5-7 | 27 |

7-10 | 17 |

**The following table gives the number of pages written by Sarika for completing her own book for 30 days :**

Number of pages written per day | Number of days |
---|---|

16-18 | 1 |

19-21 | 3 |

22-24 | 4 |

25-27 | 9 |

28-30 | 13 |

**Find the mean number of pages written per day.**

**Calculate the mean of the scores of 20 students in a mathematics test :**

Marks | Number of students |
---|---|

10-20 | 2 |

20-30 | 4 |

30-40 | 7 |

40-50 | 6 |

50-60 | 1 |

**Weekly income of 600 families is tabulated below :**

Weekly income | Number of families |
---|---|

0-1000 | 250 |

1000-2000 | 190 |

2000-3000 | 100 |

3000-4000 | 40 |

4000-5000 | 15 |

5000-6000 | 5 |

**TOTAL** | **600** |

**Compute the median income.**

Calculate the mean of the following data by the direct method.

Class | Frequency |
---|---|

4 – 7 | 5 |

8 –11 | 4 |

12– 15 | 9 |

16 –19 | 10 |

The mean of the below data is 35. Find the missing frequency using the direct method.

Marks | Number of students |
---|---|

10-20 | 2 |

20-30 | f |

30-40 | 7 |

40-50 | 6 |

50-60 | 1 |

**An aircraft has 120 passenger seats. The number of seats occupied during 100 flights is given in the following table :**

Number of seats | Frequency |
---|---|

100-104 | 15 |

104-108 | 20 |

108-112 | 32 |

112-116 | 18 |

116-120 | 15 |

**Determine the mean number of seats occupied over the flights by the assumed mean method.**

**The monthly income of 100 families are given as below :**

Income (in Rs) | Number of families |
---|---|

0-5000 | 8 |

5000-10000 | 26 |

10000-15000 | 41 |

15000-20000 | 16 |

20000-25000 | 3 |

25000-30000 | 3 |

30000-35000 | 2 |

35000-40000 | 1 |

**Calculate the modal income.**

**The maximum bowling speeds, in km per hour, of 33 players at a cricket coaching centre are given as follows:**

Speed (km/h) | Number of players |
---|---|

85-100 | 11 |

100-115 | 9 |

115-130 | 8 |

130-145 | 5 |

**Calculate the median bowling speed.**

**The weights (in kg) of 50 wrestlers are recorded in the following table:**

Weight (in kg) | Number of wrestlers |
---|---|

100-110 | 4 |

110-120 | 14 |

120-130 | 21 |

130-140 | 8 |

140-150 | 3 |

**Find the mean weight of the wrestlers by the assumed mean method.**

Questions in Statistics and Probability - Exercise 13.4

Find the mean marks of the students for the following distribution:

Marks | Number of Students |
---|---|

0 and above | 80 |

10 and above | 77 |

20 and above | 72 |

30 and above | 65 |

40 and above | 55 |

50 and above | 43 |

60 and above | 28 |

70 and above | 16 |

80 and above | 10 |

90 and above | 8 |

100 and above | 0 |

The median of the following data is 50. Find the values of p and q, if sum of all the frequencies is 90.

Marks | _f_ |
---|---|

20–30 | p |

30–40 | 15 |

40–50 | 25 |

50–60 | 20 |

60–70 | q |

70–80 | 8 |

80–90 | 10 |

Find the mean age of 100 residents of a town from the following data by using the step-deviation method.

Age | Number of persons |
---|---|

equal and above 0 | 100 |

equal and above 10 | 90 |

equal and above 20 | 75 |

equal and above 30 | 50 |

equal and above 40 | 25 |

equal and above 50 | 15 |

equal and above 60 | 5 |

equal and above 70 | 0 |

The mean of following frequency distribution is 50, but the frequencies f_{1} and f_{2} in classes (20–40) and (60–80) respectively are not known. Find these frequencies, if the sum of all the frequencies is 120.

Class | Frequency |
---|---|

0–20 | 17 |

20–40 | f<sub>1</sub> |

40–60 | 32 |

60–80 | f<sub>2</sub> |

80–100 | 19 |

Determine the mean of the following distribution:

Marks | Number of Students |
---|---|

Below 10 | 5 |

Below 20 | 9 |

Below 30 | 17 |

Below 40 | 29 |

Below 50 | 45 |

Below 60 | 60 |

Below 70 | 70 |

Below 80 | 78 |

Below 90 | 83 |

Below 100 | 85 |

The weight of tea in 70 packets are shown in the following table:

Weight (in g) | Number of packets |
---|---|

200–201 | 13 |

201–202 | 27 |

202–203 | 18 |

203–204 | 10 |

204–205 | 1 |

205–206 | 1 |

Find the mean weight of packets.

Was This helpful?

Chapters in this book

Lido

Courses

Quick Links

Terms & Policies

Terms & Policies

2022 © Quality Tutorials Pvt Ltd All rights reserved