Complete solutions of Ex 14.1 Class 10 Maths Chapter 14 with additional questions and answers from new NCERT syllabus textbook Class 10 Maths.
NCERT Solutions for Class 10 Maths Chapter 14 Statistics Ex 14.1 are part of NCERT Solutions for Class 10 Maths. Here we have given NCERT Solutions for Class 10 Maths Chapter 14 Statistics Ex 14.1.
- Class 10 Maths Statistics Ex 14.1
- Class 10 Maths Statistics Ex 14.2
- Class 10 Maths Statistics Ex 14.3
- Class 10 Maths Statistics Ex 14.4
Board | CBSE |
Textbook | NCERT |
Class | Class 10 |
Subject | Maths |
Chapter | Chapter 14 |
Chapter Name | Statistics |
Exercise | Ex 14.1 |
Number of Questions Solved | 9 |
Category | NCERT Solutions |
NCERT Solutions for Class 10 Maths Chapter 14 Statistics Ex 14.1
Ex 14.1 Class 10 Maths Question 1.
A survey was conducted by a group of students as a part of their environmental 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.
Which method did you use for finding the mean, and why?
Solution:
Let us find the mean of the data by the direct method.
Hence, we have used the direct method to find the mean of the given data, because the numerical values of f1 and x1 are small.
Ex 14.1 Class 10 Maths Question 2.
Consider the following distribution of daily wages of 50 workers of a factory.
Find the mean daily wages of the workers of the factory by using an appropriate method.
Solution:
In this case, we can use step-deviation method because the sata is large.
Here, a = 150 and h = 20
Ex 14.1 Class 10 Maths Question 3.
The following distribution shows the daily pocket allowance of children of a locality. The mean pocket allowance is ₹ 18. Find the missing frequency f.
Solution:
Ex 14.1 Class 10 Maths Question 4.
Thirty women were examined in a hospital by a doctor and the number of heart beats per minute was recorded and summarised as follows. Find the mean heart beats per minute for these women, choosing a suitable method.
Solution:
Let us find the mean of the data by the direct method.
Ex 14.1 Class 10 Maths Question 5.
In a retail market, fruit vendors were selling mangoes kept in packing boxes. These boxes contained a varying number of mangoes. The following was the distribution of mangoes according to the number of boxes.
Find the mean number of mangoes kept in a packing box. Which method of finding the mean did you choose?
Solution:
Let us find the mean number of mangoes by the direct method.
We have used the direct method to find the mean number of mangoes because the values of f1 and x1 are small.
Ex 14.1 Class 10 Maths Question 6.
The table below shows the daily expenditure on food of 25 households in a locality.
Find the mean daily expenditure on food by a suitable method.
Solution:
Here, a = 225 and h = 50
Hence, the mean daily ecpenditure on food is ₹ 211.
Ex 14.1 Class 10 Maths 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:
Find the mean concentration of SO2 in the air.
Solution:
Hence, the mean concentration of SO2 in air is 0.099 ppm.
Ex 14.1 Class 10 Maths 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.
Solution:
Ex 14.1 Class 10 Maths Question 9.
The following table gives the literacy rate (in percentage) of 35 cities. Find the mean literacy rate.
Solution:
Here, h = 10
Hence, the mean literacy rate is 69.43%.
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