Question

Describe the center and spread of the data using either the mean and standard deviation or the five-number summary. Justify your choice by constructing a histogram for the data. 9, 1, 29, 10, 5, 39, 29, 4, 24, 8, 3, 33, 13, 32, 23, 32, 39, 10 18, 26, 26, 10, 9, 18, 15, 17, 12, 18, 9, 15, 9, 24, 12, 22, 20, 15 Question 2 options: The distribution is symmetric, so use the mean and standard deviation. mean: 17.7, standard deviation: 100 The distribution is skewed, so use the five-number summary. range: 38, median: 16, half of the data are between 9.5 and 25

Answer 1

Answer:

The distribution is skewed, so use the five-number summary. range: 38, median: 16, half of the data are between 9.5 and 25

Step-by-step explanation:

In the picture attached the histogram is shown. We can see that data is skewed to the right, so we have to use the five-number summary. The range of the data is 39 - 1 = 38 (subtraction of the maximum value to the minimum value); the median is (15 + 17)/2 = 16 (if you order the values, 15 and 17 are in the middle); quartile 1 is 9.25 and quartile 3 is 25.5 (see diagram of box and whisker attached), then half of the data are between those values.