1. A set of data is summarized by the stem and leaf plot below.

Stem Leaf

2 00012347778899

3 0112233456677888

4 00001113446679

5 0000111222366889

Provide your answer below:

The value 20appears_______ time(s) in the data set. The value 31appears ________ time(s) in the data set. The value 43appears______ time(s)in the data set. The value 58appears________ time(s)in the data set.

2. Find the mean of the data set summarized in the frequency table. Round your answer to the nearest tenth.

Random Variable	Frequency
2	13
3	30
4	9

3. Wyatt, as the director of a regional bank, isconcerned about the wait times of customers at the four branches. He randomly selects 49 patrons at each branch and records the waiting time for each patron. The results of the samples are shown below.

The Main Streetbranch has a mean waiting time of 4.32 minutes with a standard deviation of 1.68 minutes. The West Streetbranch has a mean waiting time of 5.24 minutes with a standard deviation of 3.02 minutes. The East Streetbranch has a mean waiting time of 5.02 minutes with a standard deviation of 1.15 minutes. The North Streetbranch has a mean waiting time of 4.68 minutes with a standard deviation of 2.72 minutes.

Which of the branches has the most inconsistent waiting times? Explain your answer.

Select the correct answer below:

The West Streetbranch has the most inconsistent waiting timesbecause it has the greatest mean waiting time.

The East Streetbranch has the most inconsistent waiting timesbecause the it has the lowest standard deviation.

The Main Streetbranch has the most inconsistent waiting timesbecause it has the lowest mean waiting time.

The NorthStreetbranch has the most inconsistent waiting timesbecause it has the largest standard deviation.

The West Streetbranch has the most inconsistent waiting timesbecause it has the largest standard deviation.

The MainStreetbranch has the most inconsistent waiting timesbecause it has the largest standard deviation.