Question

patrons at a local bowling alley were randomly selected and asked their age. the manager of the bowling alley wants to use the data to infer the ages of all patrons so he can create age appropriate menu items for food. please use the data to answer the questions below. 7, 13, 16, 7, 12, 13, 17, 15, 14, 9, 9, 8, 11 use the data above for questions 3 and 4. make a dot plot of the sample population data. use the data above for questions 3 and 4. make a box plot of the sample population data.

Explanation:

Step1: For dot - plot

1. First, list all the unique values in the data set: 7, 8, 9, 11, 12, 13, 14, 15, 16, 17.
2. Then, for each value, count how many times it appears in the data set.

• 7 appears 2 times.
• 8 appears 1 time.
• 9 appears 2 times.
• 11 appears 1 time.
• 12 appears 1 time.
• 13 appears 2 times.
• 14 appears 1 time.
• 15 appears 1 time.
• 16 appears 1 time.
• 17 appears 1 time.

1. Draw a number line that includes all the values in the data set. Above each value on the number line, place a dot for each occurrence of that value in the data set.

Step2: For box - plot

1. First, order the data set: 7, 7, 8, 9, 9, 11, 12, 13, 13, 14, 15, 16, 17.
2. Find the median (Q2). Since there are n = 13 data points, the median is the 7th value. So Q2=12.
3. Find the lower half of the data: 7, 7, 8, 9, 9, 11. The median of the lower half (Q1) is the 3rd value, so Q1 = 8.
4. Find the upper half of the data: 13, 13, 14, 15, 16, 17. The median of the upper half (Q3) is the 3rd value of this half, so Q3=14.
5. The minimum value is 7 and the maximum value is 17.
6. Draw a number line that includes the minimum and maximum values. Draw a box from Q1 to Q3, with a line inside the box at Q2. Draw whiskers from the box to the minimum and maximum values.

Answer:

Dot - plot and box - plot should be drawn as described above following the steps. Visual representation cannot be directly provided in text - only the steps to create them are given.