Question

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
.

Answer 1

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**.