Problems for Sections 3.1 and 3.2 3.3 The following set of data is from a sample

Question

Problems for Sections 3.1 and 3.2 3.3 The following set of data is from a sample of n7 EARNING THE BASICS 3.1 The following set of data is from a sample of n-5 12 749073 74982 a. Compute the mean, median, and mode. b. Compute the range, variance, standard deviation, and coeffi a. Compute the mean, median, and mode. b. Compute the range, variance, standard deviation, and coeffi- cient of variation. c. Compute the Z scores. Are there any outliers? d. Describe the shape of the data set cient of variation. e. Compute the Z scores. Are there any outliers? d. Describe the shape of the data set.

Explanation / Answer

Question 3.1

(a) Here mean = (7 + 4 + 9 + 8 + 2)/5 = 6

Median = 7

Mode = none

(b) Range = 9 - 2 = 7

Variance = 1/(5 -1) [(7 -6)2 + (4 - 6)2 + (9 -6)2 + (8 - 6)2 + (2 - 6)2] = 8.5

Standard deviation = sqrt(8.5) = 2.9155

(c) Here Z score are

(d) No there is no outlier here.

(e) Shape of the data can't be predicted but can be said right skewed.

Problem 3.2

(a) Here mean = (12 + 7 + 4 + 9 + 0 + 7 + 3 )/7 = 6

Median = 7

Mode = 7

(b) Range = 12 - 0 = 12

Variance = 1/(7 -1) [(12 -6)2 + (7 - 6)2 + (4 -6)2 + (9 - 6)2 + (0 - 6)2 + (7 - 6)2 + (3 - 6)2] = 16

Standard deviation = sqrt(16) = 4

(c) Here Z score are

(d) There are no outliers are there.

(e) Shape of the data can't be predicted but can be said right skewed. (d) No there is no outlier here.

X Z 7 0.343 4 -0.686 9 1.029 8 0.686 2 -1.372

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