The following set of data is from a sample of n = 7. 12 1 8 7 13 1 14 a. Compute

Question

The following set of data is from a sample of n = 7. 12 1 8 7 13 1 14 a. Compute the mean, median, and mode. b. Compute the range, variance, standard deviation, and coefficient of variation. c. Compute the Z scores. Are there any outliers? d. Describe the shape of the data set. The variance is (Type an integer or decimal rounded to two decimal places as needed.) The standard deviation is. (Type an integer or decimal rounded to two decimal places as needed.) The coefficient of variation is %. (Type an integer or decimal rounded to two decimal places as needed.) c. Compute the Z scores. Are there any outliers? No Yes d. What is the shape of the data set? Positive (right-skewed) Negative (left-skewed) Symmetrical

Explanation / Answer

a)

Average (mean): =8
Median =8

Mode= 1

b)

Range: 13
Variance: 25.14

Standard deviation =5.01

Coefficient of variation cV=0.6770 = 67.70%

c)
zsores are respectively

0.80

-1.40

-0.20

-1.40

1.00

-1.40

1.20

no outliers

d)

Negative (left skewed)

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