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Scott wishes to make a line plot of the heights in inches for a basketball team. The heights are listed below. Use the drop down menu to make the statements below true.

74 79 82 73 82 84 80 84 74 76 69 78 81

Part A

The least value in the data set is Choose and the greatest value in the data set is Choose

1 Choose: 74, 73, 69, 84.
2 Choose: 79, 84, 81, 82.

Part B

In a frequency table of this data, the data values with the greatest frequency are Choose.

1 Choose: 82 and 84, 78, 79, 82, and 84, 74, 79, 82, and 84, 74, 78, 79, 82, and 84.

1 answer

Let's analyze the heights first before addressing the dropdown choices.

The heights given are: 74, 79, 82, 73, 82, 84, 80, 84, 74, 76, 69, 78, 81

Part A:

  • The least value in the data set is 69 (the smallest number).
  • The greatest value in the data set is 84 (the largest number).

So for Part A:

  1. Choose: 69 (which corresponds to the number 69 in the dropdown menu options)
  2. Choose: 84 (which corresponds to the number 84 in the dropdown menu options)

Part B: Now let’s determine the frequency of each height:

  • 69 occurs 1 time
  • 73 occurs 1 time
  • 74 occurs 2 times
  • 76 occurs 1 time
  • 78 occurs 1 time
  • 79 occurs 1 time
  • 80 occurs 1 time
  • 81 occurs 1 time
  • 82 occurs 2 times
  • 84 occurs 2 times

The data values with the greatest frequency are 74, 82, and 84, since they each occur 2 times (the maximum frequency).

So for Part B:

  1. Choose: 74, 82, and 84 (this matches with the option 74, 79, 82, and 84 if that option indicates all values with maximum frequency, otherwise you could select the combination that includes all three).

Summary:

  • Part A: Least value is 69, greatest value is 84.
  • Part B: The data values with the greatest frequency are 74, 82, and 84.