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 . Skip to navigation

Answer 1

To determine the mode and range from the given histogram data, let's summarize the information.

**Grades and Their Frequencies:**
- 50–64: 2
- 65–74: 4
- 75–80: 1
- 81–85: 5
- 85–94: 8
- 95–100: 6

### Mode
The mode is the interval with the highest frequency.

- The frequencies are:
- 50–64: 2
- 65–74: 4
- 75–80: 1
- 81–85: 5
- 85–94: 8 (highest)
- 95–100: 6

The highest frequency is **8**, which occurs in the interval **85–94**. Thus, the mode is **85–94**.

### Range
The range is calculated by subtracting the lowest grade from the highest grade.

- The lowest grade (from the first interval, 50–64) is **50**.
- The highest grade (from the last interval, 95–100) is **100**.

Range = Highest grade - Lowest grade = 100 - 50 = **50**.

### Summary
- The mode is **85–94**.
- The range is **50**.