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The table represents the data in a histogram.

Grades

Frequency

50–64

2

65-74

4

75-80

1

81-85

5

85-94

8

95-100

6

(3 points)
The data are skewed
. The mode is
and the range is
.

1 answer

To analyze the provided histogram data:

  1. Determine if the data is skewed:

    • The frequencies are:
      • 50-64: 2
      • 65-74: 4
      • 75-80: 1
      • 81-85: 5
      • 85-94: 8
      • 95-100: 6
    • Here, we have a higher frequency in the upper range (85-94 and 95-100) compared to the lower range. This suggests that the data is positively skewed (or right-skewed), as there are more grades concentrated toward the higher end of the range.

  2. Determine the mode:

    • The mode is the interval with the highest frequency. In this case, the interval 85-94 has the highest frequency of 8. Therefore, the mode is 85-94.

  3. Calculate the range:

    • The range is calculated as the difference between the maximum and minimum values. The minimum value is 50, and the maximum value is 100.
    • Range = 100 - 50 = 50.

Putting it all together:

  • The data are skewed positively.
  • The mode is 85-94.
  • The range is 50.

So, to summarize:

  • The data are skewed positively.
  • The mode is 85-94.
  • The range is 50.