Edmentum Integrated Math2 Unit 5 Activity: Descriptive Statistics

The members of a rock climbing club can use an indoor rock climbing facility anytime they wish as part of their club membership. As it creates a new budget, the club decides to investigate how often the members use the indoor climbing facility. Then it will decide whether to increase the budget for this facility. Manuel and Gretchen are in charge of gathering this information, so they survey the members of the club. Each person will administer the survey to 15 randomly selected members and record how many days in the past month those members used the indoor facility. Their data is shown in the table.

Number of Days Member Used Facility Last Month
Manuel Gretchen
3 22
6 4
8 7
11 8
12 12
8 15
6 10
3 7
10 9
5 6
14 13
9 3
7 8
10 10
8 10

Use the graphing tool to create a histogram of Gretchen’s data. Use eight bins for your histogram.

Interpret the histogram of Gretchen’s data you created in part A.
The shape of Gretchen’s data can be described as
skewed right
. Because of this, the
median
would be the best measure of center for this data set. The actual value for the best measure of center is
9

Determine the mean, median, standard deviation, and interquartile range for each data set. Then, use the graphing tool to determine the value of the standard deviation.

Number of Days Member Used Facility Last Month
Manuel’s Data Gretchen’s Data
3 22
6 4
8 7
11 8
12 12
8 15
6 10
3 7
10 9
5 6
14 13
9 3
7 8
10 10
8 10

Complete the table for Manuel’s and Gretchen’s data sets.

Type the correct answer in each box. Use numerals instead of words.

Manuel’s Data Set Gretchen’s Data Set
Mean
8
9.6
Median 8
9
Standard Deviation
3.14
4.69
Interquartile Range 4
5

Complete the statement comparing Manuel’s and Gretchen’s data.

Select the correct answer from each drop-down menu.

Which statements are true about Gretchen’s adjusted data set?

The spread values are closer to the spread values of Manuel’s data set.
The center moved closer to the center of Manuel’s data set.
The center moved farther from the center of Manuel’s data set.
The spread values are farther from the spread values of Manuel’s data set.
The data set is skewed left.
The data set is approximately symmetric.

The club will base its decision about whether to increase the budget for the indoor rock climbing facility on the analysis of its usage. The decision to increase the budget will depend on whether members are using the indoor facility at least two times a week. Use the best measure of center for both of the original data sets to determine whether the club should increase the budget. Assume there are four weeks in a month. If you think the data is inconclusive, explain why.

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