00:01
Hello students, this is the given information, scores and the number of students and we have to find mean, mode and standard deviations.
00:14
Then we know the formula of mean which is equals to expectation of x is equals to summation of f i x i upon summation of f i and scores is our x random variable and number of student is our frequencies.
00:37
Then we are calculating summation of f i x i.
00:45
F i x i means 5 into 7 plus 6 into 2 plus 7 into 3 plus 8 into 4 plus 9 into 3 plus 10 into 2 divided by summation of f i that is 7 plus 2 plus 3 plus 4 plus 3 plus 2.
01:10
After simplifying this, we get mean of this data is 7.
01:21
Therefore, mean is equals to 7.
01:26
Now, next mode.
01:30
We know that mode is the value of x which has maximum frequency.
01:51
That means the value of mode is look at in this table.
01:59
The maximum frequency is a 7 and the corresponding score is 5.
02:05
Therefore, value of mode is 5.
02:09
Therefore, mode of this data is equal to.
02:14
Now, in last we have to find a standard deviation.
02:17
For calculating standard deviation, we have to calculate variance of x.
02:22
Variance of x is equals to expectation of x square minus expectation of x bracket square.
02:31
We already calculated expectation of x...