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

Part B
Select the correct answer from each drop-down menu.
Interpret the histogram of Gretchen’s data you created in part A.
The shape of Gretchen’s data can be described as
. Because of this, the
would be the best measure of center for this data set. The actual value for the best measure of center is
.
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
Question
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
9.6
Median 8
Standard Deviation
4.69
Interquartile Range 4
Part D
Question
Complete the statement comparing Manuel’s and Gretchen’s data.

Select the correct answer from each drop-down menu.

Gretchen’s data values
Manuel’s data values because the
are
for Manuel’s data.

Part E
Remove the outlier from Gretchen’s data set, and recalculate the mean, median, standard deviation, and interquartile range. Use the graphing tool to visualize the data.

Question
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 data set is skewed left.
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 data set is approximately symmetric.
The spread values are farther from the spread values of Manuel’s data set.
Part F
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.

*Sorry! I don't have a lot of points left, but I really need help and it's due today!!! Please help ad no links please!