1 1 2 3 4 8 57 the upper quartile is a qu 4 b qu 23 c qu 8 d qu 6 e none of the above miles 2 26

Step 1: First, we need to arrange the given numbers in ascending order: 1, 1, 2, 3, 4, 8, 57.

1 1 2 3 4 8 57 the upper quartile is a qu 4 b qu 23 c qu 8 d...

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Transcript

0:00 Hello students.

00:01 So in the equation first we have to arrange the data in the ascending order that is 70, 76 so on till 108.

00:12 So now q2 is as good.

00:15 Q2 is n by 2 plus half observation.

00:22 So here n is equal to 10 that is 10 by 2 plus half that is 5 .5 observation.

00:43 So this implies q2 is mean of mean of fifth and sixth observation.

00:57 So here q2 is equal to 85 plus 85 divided by 2 which is 85.

01:07 Now we have to find decile or sixth decile.

01:14 So here q2 is 85 and sixth decile d6 is given by 6 into n plus 1 divided by 10.

01:31 So here this is equal to 85 plus 6 by 10 into 95 minus 85.

01:55 So this is equal to 85 plus 6.

02:01 This is equal to 91.

02:06 Then next we ask to find 45th percentile.

02:17 So 45th percentile is 45 into n plus 1 divided by 100.

02:28 So this is equal to 45 into 10 plus 1 divided by 100 observation.

02:41 So this is equal to 451 by 100 observation.

02:54 So this we can write p45 is equal to 85 plus 51 by 100 into 85 minus 85.

03:05 This term will be 0.

03:08 So p45 is equal to 85.

03:13 Then in the next question we are asked to find mean that is summation xi divided by n.

03:28 So here this is 5 plus 6 plus so on till 53 divided by 12 and this is equal to 22 .25...