VALUE BASED QUESTIONS
Q1. The following table gives the percentage distribution of female students in various schools of rural areas of various states and UTs of India who are getting freeship.
Percentage of female students getting freeship | 15 -25 | 25 - 35 | 35 - 45 | 45 - 55 | 55 - 65 | 65 - 75 | 75 - 85 |
Number of states/UT | 6 | 11 | 7 | 4 | 4 | 2 | 1 |
(i) Find the mean percentage of female students getting freeship.
(ii) Which mathematical concept is used in the above problem?
(iii) By giving freeship to girls/women students, which value is depicted by various states and UTs?
Sol. (i) We find xi (class marks) of each class and put them in the following table :
Percentage of female students | Number of states/UTs f_{i} | ^{x}i |
15 - 25 | 6 | 20 |
25 - 35 | 11 | 30 |
35 - 45 | 7 | 40 |
45 - 55 | 4 | 50 |
55 - 65 | 4 | 60 |
65 - 75 | 2 | 70 |
75 - 85 | 1 | 80 |
Here, we take a = 50, h = 10 and di = x_{i} â€“ 50
Putting di and ui in the following table :
âˆµ From the table, we have :
â‡’ [Using direct method]
OR
Using the step deviation method, we get
Thus, required percentage of women students = 39.71
(ii) Statistics.
(iii) Promoting women education.