Question

the histogram shows the number of vacation days taken by employees in the past year. based on the histogram, which statement is true?
a. four employees took 20 vacation days in the past year.
b. four employees took 25 vacation days in the past year.
c. four employees took between 20 and 25 vacation days in the past year.
d. between 20 and 25 employees took four vacation days in the past year.

Explanation:

Step1: Analyze histogram intervals

The histogram has intervals on the x - axis (vacation days) and frequencies on the y - axis. The intervals are 0 - 5, 5 - 10, 10 - 15, 15 - 20, 20 - 25, 25 - 30.

Step2: Check each option

• Option A: There is no bar corresponding to exactly 20 vacation days.
• Option B: There is no bar corresponding to exactly 25 vacation days.
• Option C: The bar for the 20 - 25 interval has a frequency of 4. This means 4 employees took between 20 and 25 vacation days.
• Option D: The y - axis represents frequency (number of employees) and the x - axis represents vacation days. This option has the axes mixed up.

Answer:

C. Four employees took between 20 and 25 vacation days in the past year.