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.