Variability Practice Test
Compute the standard deviation for the set of data. 2, 4, 6, 8, 10
A
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
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 A Test B Jeanette's score 90 95 Mean score 64 60 Standard deviation 8 10 a. Test A: 3.25; Test B: 3.5; Test B c. Test A: 26; Test B: 35; Test B b. Test A: 3.5; Test B: 3.25; Test A d. Test A: 3.25; Test B: 3.5; Test A
A
The table below shows the scores on a math test. David 75 Aaron 75 Ashley 60 Gina 75 Andrew 75 Kei 95 Monica 100 Anna 60 Lucas 75 Jennifer 65 Find the range, mean, median and mode for the scores. Round to the nearest tenth when necessary. a. 40; 75.5; 75; 75 c. 40; 74.5; 75; 100 b. 35; 75.5; 75; 75 d. 40; 74.5; 75; 75
A
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.
A
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? a. 75% of the data is between the first and third quartiles b. 50% of the data is between the first and third quartiles c. 25% of the data is between the first and third quartiles d. 66% of the data is between the first and third quartiles
B
Consider the following data: 5 8 2 1 7 1 Determine the standard deviation by filling in the table as part of your calculation.
B. 8=2.83
The table below shows the scores on a science test. John 75 Brett 80 Elizabeth 90 Cindy 100 Jake 75 Kenji 85 Rick 80 Joy 80 Raul 90 Suni 85 Find the range, mean, median and mode for the scores. Round to the nearest tenth when necessary. a. 25; 84; 82.5; 75 c. 25; 84; 82.5; 80 b. 100; 84; 82.5; 80 d. 25; 80; 82.5; 80
C
Determine the mean, median, mode, and midrange for this collection of class test scores: 88 82 97 76 79 92 65 84 79 90 75 82 78 77 93 88 95 73 69 89 93 78 60 95 88 72 80 94 88 74 a. Mean is 84, median is 82, mode is 82, midrange is 77 b. Mean is 82, median is 88, mode is 88, midrange is 77 c. Mean is 82.4, median is 88, mode is 82, midrange is 78.5 d. Mean is 82.4, median is 82, mode is 88, midrange is 78.5
D
The table below shows the scores on a science test. John 75 Brett 80 Elizabeth 90 Cindy 100 Jake 75 Kenji 85 Rick 80 Joy 80 Raul 90 Suni 85 Find the standard deviation. Round to the nearest tenth when necessary. a. 53.3 c. 6 b. 8.2 d. 7.3
D
