00:01
Hello students, let's do this question.
00:04
Here the frequency distribution table are given.
00:09
That is, first is score is x, then frequency is given, then cumulative frequency is also given, and we have to find the percentage of cumulative frequency.
00:28
So first the values of score and frequencies are as follows.
00:37
First is a value of score is a 7, 6, 5, 4, 3, 2.
00:46
Then corresponding frequencies are 1, 3, 6, 9, 4, 1.
00:54
And cumulative frequency are 24, 23, 20, 14, 5 and 1.
01:04
So here 1 plus 4, 5, then 5 plus 9, 14, 14 plus 6, 20 plus 3, 23 plus 1, 24.
01:15
And our capital n, that is summation of f5, is also 24.
01:20
So our cumulative frequencies are same as the frequency.
01:26
So this is the correct.
01:27
Then we have to find percentile and the cumulative frequency percentage.
01:34
So for finding the cumulative frequencies, cumulative frequency percentage, the formula used for this is equals to 100 into cf upon yen, where cf is given that cumulative frequency column.
01:56
And next is the formula used to find percentile is equal to p .i.
02:02
Is equal to size of i into n by 100th observation, where i is nothing but value of which percentile is we have to find, then n is a total observation, that is 24.
02:22
So first is a, we have to find the cumulative frequency percentage for each value.
02:28
So it becomes for first value, cumulative frequency percentage, that is c percentage, is equals to 100 into cf is 24 upon 100, which equals to 24 upon n, that is 24, which equals to 100%.
02:50
Then for second, 100 into 23 upon 24 equals, equals, to 95 .83 percent then next is 100 into 20 upon 24 equals to 83 .33 percent then 100 into 14 upon 24 equals to 58 .33 percent then 100 into 58 point 33 percent then 100 into 5 5 5 upon 24 is equals to 20 .83 percent and 100 into 1 upon 24 which equals to 41 .66 percent...