Question

Answer the following questions. Make sure you round to 2 decimal places.

1. Calculate the mean, median, and mode for the following distribution and describe the skew of the distribution. (8 pts)

7

10

3

10

33

21

1

4

17

2. Calculate the mean, median, and mode for the following distribution and describe the skew of the distribution. (8 pts)

12

14

16

18

19

19

20

22

23

24

35

36

39

42

47

Calculate the variance and standard deviation. Make sure you round to 2 decimal places.

3. On a 20-item measure of self-esteem (higher scores reflect greater self-esteem), 13 people scored as follows (16 pts):

3

7

14

11

10

16

5

8

11

20

3

10

1

Answer 1

1.)

	X
	1
	3
	4
	7
	10
	10
	17
	21
	33
Total	106

Here Mean is greater than Median, Hence Right Skewed.

2.)

	X
	12
	14
	16
	18
	19
	19
	20
	22
	23
	24
	35
	36
	39
	42
	47
Total	386

Here Mean is greater than Median, Hence Right Skewed.

	X	X-mean	(X-mean)^2
	12	-13.73	188.5129
	14	-11.73	137.5929
	16	-9.73	94.6729
	18	-7.73	59.7529
	19	-6.73	45.2929
	19	-6.73	45.2929
	20	-5.73	32.8329
	22	-3.73	13.9129
	23	-2.73	7.4529
	24	-1.73	2.9929
	35	9.27	85.9329
	36	10.27	105.4729
	39	13.27	176.0929
	42	16.27	264.7129
	47	21.27	452.4129
Total	386		∑(X-mean)^2=1712.9335
Mean	25.73

Variance=(∑(X-mean)^2)/(n-1)=1712.9335/14=122.35

Standrad Deviation=sqrt{variance}=sqrt(122.35)=11.06