2. The lengths of boats in a harbor, in feet, are listed below.

17, 16, 56, 50, 14, 30
12, 33, 82, 16, 10, 52
25, 25, 19, 75, 24, 12
30, 12, 20, 38, 26, 36
33, 24, 18, 26, 40, 40

a. Make a frequency table for the data set. Use 5–14 as the first class interval.
b. Use the table to draw a histogram.
c. Describe the type of distribution. Identify the relationship of the mean and the median.

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To answer these questions, we need to follow a few steps:

a. Create a frequency table:
To create a frequency table, we need to count the number of boats falling within each class interval. The first class interval is given as 5–14. We can start by listing each class interval and counting the number of boats falling within it. Here's the frequency table:

Class Interval | Frequency
-----------------------------
5-14 | 3
15-24 | 8
25-34 | 9
35-44 | 4
45-54 | 1
55-64 | 2
65-74 | 1
75-84 | 2

b. Drawing a histogram:
Now that we have the frequency table, we can use it to draw a histogram. A histogram represents the data using rectangular bars, with the frequency being represented by the height of each bar.

In this case, the x-axis will represent the class intervals, and the y-axis will represent the frequency. We can label and plot the bars according to the frequency table we created.

Frequency

* ***
* ***
* ** ***
** **** ** ****
5-14 15-24 25-34 35-44 45-54 55-64 65-74 75-84

c. Describing the type of distribution:
To describe the type of distribution, we can observe the shape of the histogram. In this case, the histogram appears to have a slightly skewed right distribution. The tail on the right side is longer than the tail on the left side.

Concerning the relationship between the mean and median, when a distribution is skewed right, the median tends to be smaller than the mean, indicating that there are some higher values pulling the mean upwards. However, without the actual values or calculations, we cannot provide a definitive answer.

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