Variability Answers

The weights, in pounds, of a group of student are as follows: 173 123 171 175 188 120 177 160 151 169 162 128 145 140 158 132 202 162 154 180 164 166 157 171 175 Determine the mean, standard deviation, and five-number summary for the data.

Jeanette took two tests. Find her z-score for each test. (Remember: The number of standard deviations between a score and the mean score is indicated by a z-score.) On which did she score better compared with others in her class? Test ATest BJeanette’s score9095Mean score6460Standard deviation810

Compute the standard deviation for the set of data. 2, 4, 6, 8, 10

Determine the mean, median, mode, and midrange for this collection of class test scores:88 82 97 76 79 92 65 84 7990 75 82 78 77 93 88 95 7369 89 93 78 60 95 88 72 8094 88 74

A boxplot helps to visualize the variability of a distribution. Five statistics form a boxplot, often referred to as the five-number summary for the distribution. How much of the data is between the first and third quartiles?

The table below shows the scores on a science test.John75Brett80Elizabeth90Cindy100Jake75Kenji85Rick80Joy80Raul90Suni85

Draw a box-and-whisker plot for the set of data. 23.5, 18.2, 3.3, 23.3, 11.3, 18.8, 78.8, 69.1, 2.2, 16.1, 54.9, 44.8, 37.4 a. b. c. d. Please select the best answer from the choices provided

The table below shows the scores on a math test.David75Aaron75Ashley60Gina75Andrew75Kei95Monica100Anna60Lucas75Jennifer65

The table below shows the scores on a science test.John75Brett80Elizabeth90Cindy100Jake75Kenji85Rick80Joy80Raul90Suni85

Consider the following data: 5 8 2 1 7 1 Determine the standard deviation by filling in the table as part of your calculation. 5 4 1 1 8 4 4 16 2 4 -2 4 1 4 7 4 1 4 a. 8 b. c. 2 d. Please select the best answer from the choices provided