JAC Class 10 Maths Solutions Chapter 14 Statistics Ex 14.1

Jharkhand Board JAC Class 10 Maths Solutions Chapter 14 Statistics Ex 14.1 Textbook Exercise Questions and Answers.

JAC Board Class 10 Maths Solutions Chapter 14 Statistics Exercise 14.1

Question 1.
A survey was conducted by a group of students as a part of their environment awareness programme, in which they collected the following data regarding the number of plants in 20 houses in a locality. Find the mean number of plants per house.
JAC Class 10 Maths Solutions Chapter 14 Statistics Ex 14.1 1
Which method did you use for finding the mean, and why?
Solution:
JAC Class 10 Maths Solutions Chapter 14 Statistics Ex 14.1 2
JAC Class 10 Maths Solutions Chapter 14 Statistics Ex 14.1 3

JAC Class 10 Maths Solutions Chapter 14 Statistics Ex 14.1

Question 2.
Consider the following distribution of daily wages of 50 workers of a factory:
JAC Class 10 Maths Solutions Chapter 14 Statistics Ex 14.1 4
Find the mean daily wages of the workers of the factory by using an appropriate method.
Solution:
JAC Class 10 Maths Solutions Chapter 14 Statistics Ex 14.1 5
JAC Class 10 Maths Solutions Chapter 14 Statistics Ex 14.1 6

Question 3.
The following distribution shows the daily pocket allowance of children of a locality. The mean pocket allowance is Rs. 18. Find the missing frequency f.
JAC Class 10 Maths Solutions Chapter 14 Statistics Ex 14.1 7
Solution:
JAC Class 10 Maths Solutions Chapter 14 Statistics Ex 14.1 8
752 + 20f = 792 + 18.1
20f – 18f = 792 – 752
2f = 40
f = \(\frac{40}{2}\) = 20.

JAC Class 10 Maths Solutions Chapter 14 Statistics Ex 14.1

Question 4.
Thirty women were examined in a hospital by a doctor and the number of heartbeats per minute were recorded and summarised as follows. Find the mean heart beats per minute for these women, choosing a suitable method.
JAC Class 10 Maths Solutions Chapter 14 Statistics Ex 14.1 9
Solution:
JAC Class 10 Maths Solutions Chapter 14 Statistics Ex 14.1 10
JAC Class 10 Maths Solutions Chapter 14 Statistics Ex 14.1 11

Question 5.
In a retail market, fruit vendors were selling mangoes kept in packing boxes. These boxes contained varying number of mangoes. The following was the distribution of mangoes according to the number of boxes:
JAC Class 10 Maths Solutions Chapter 14 Statistics Ex 14.1 12
Find the mean number of mangoes kept in a packing box. Which method of finding the mean did you choose?
Solution:
JAC Class 10 Maths Solutions Chapter 14 Statistics Ex 14.1 13

Question 6.
The table below shows the daily expenditure on food of 25 households in a locality.
JAC Class 10 Maths Solutions Chapter 14 Statistics Ex 14.1 14
Find the mean daily expenditure on food by a suitable method.
Solution:
JAC Class 10 Maths Solutions Chapter 14 Statistics Ex 14.1 15
JAC Class 10 Maths Solutions Chapter 14 Statistics Ex 14.1 16

JAC Class 10 Maths Solutions Chapter 14 Statistics Ex 14.1

Question 7.
To find out the concentration of SO2 in the air (in parts per million, i.e., ppm), the data was collected for 30 localities in a certain city and is presented below:

Concentration of SO2 (in ppm) Frequency
0.00 – 0.04 4
0.04 – 0.08 9
0.08 – 0.12 9
0.12 – 0.16 2
0.16 – 0.20 4
0.20 – 0.24 2

Find the mean concentration of SO2 in the air.
Solution:
JAC Class 10 Maths Solutions Chapter 14 Statistics Ex 14.1 17
Mean concentration of SO2 in air = 0.099 ppm

Question 8.
A class teacher has the following absentee record of 40 students of a class for the whole term. Find the mean number of days a student was absent.
JAC Class 10 Maths Solutions Chapter 14 Statistics Ex 14.1 18
Solution:
JAC Class 10 Maths Solutions Chapter 14 Statistics Ex 14.1 19
JAC Class 10 Maths Solutions Chapter 14 Statistics Ex 14.1 20
Mean number of days a student was absent is 12.48.

JAC Class 10 Maths Solutions Chapter 14 Statistics Ex 14.1

Question 9.
The following table gives the literacy rate (in percentage) of 35 cities. Find the mean literacy rate.
JAC Class 10 Maths Solutions Chapter 14 Statistics Ex 14.1 21
Solution:
JAC Class 10 Maths Solutions Chapter 14 Statistics Ex 14.1 22

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