MMB Activity 2.6 Pages 192=194 #1-7
Objective: Measure the variability of a frequency distribution.
1. Consider the following data: 5, 8, 2, 1, 7, 1 Determine the standard deviation ( 𝜎x) ___________
2. Eight adults are surveyed and asked how many credit cards they possess.
Their responses are 4, 0, 3, 1, 5, 2, 2 and 3. Determine the standard deviation for these data.
standard deviation ( 𝜎x) ____________
3. A student takes ten exams during a semester and receives the following grades. 90, 85, 97, 76, 89,
58, 82, 102, 70, and 67. Find the five number summary.
Minimum ________ Q1________ Median (Q2))________ Q3________ Maximum_________
4. In a year-long music course, you are required to attend 12 concerts. Last season, the lengths of the
concerts were 92, 101, 98, 112, 80, 119, 92, 90, 116, 106, 78 and 65 minutes. Find the five number
summary for these data. Decide on a scale and draw a box and whisker plot.
Minimum ________ Q1________ Median (Q2))________ Q3________ Maximum_________
5. The weights, in pounds, of a group of workers 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 Find the five-number summary for these data. Decide on a scale and draw a boxplot.
Minimum ________ Q1________ Median (Q2))________ Q3________ Maximum_________
6. Joe DiMaggio played center field for the New York Yankees for 13 years., Mickey Mantle, who
played for 18 years, succeeded him. Here is the number of home runs by DiMaggio and Mantle.
DiMaggio: 29, 46, 32, 30, 31, 30, 21, 25, 20, 39, 14, 32, 12
Mantle: 13, 23, 21, 27, 37, 52, 34, 42, 31, 40, 54, 30, 15, 35, 19, 23, 22, 18
a. Compute the five number summary for each player.
DiMaggio: Minimum ________ Q1________ Median (Q2))________ Q3________ Maximum_________
Mantle: Minimum ________ Q1________ Median (Q2))________ Q3________ Maximum_________
b. Using the same scale, draw a box-and whisker plot for each player.
DiMaggio:
Mantle:
c. Discuss the similarities or differences of the two boxplots.
7. Given the following boxplots of three distributions, which do you think will have the smallest
standard deviation?