Question

1. the table shows the results of asking a group of students the question how many hours per month do you volunteer?. construct a histogram to represent the data. (example 2)

hours spent volunteering
48 30 21 10 1 40 19
10 5 40 39 20 9 40
31 45 29 40 18 49 31
24 32 15 0 15 27 12

Explanation:

Step1: Organize data into intervals

First, identify the range of data: min = 0, max = 49. Use 10-hour intervals: 0-9, 10-19, 20-29, 30-39, 40-49.

Step2: Count frequencies per interval

• 0-9: Values (0,1,5,9) → Frequency = 4
• 10-19: Values (10,10,12,15,15,15,18,19) → Frequency = 8
• 20-29: Values (20,21,24,27,29) → Frequency = 5
• 30-39: Values (30,31,31,32,39) → Frequency = 5
• 40-49: Values (40,40,40,40,45,48,49) → Frequency = 7

Step3: Set up histogram axes

X-axis: Hours Spent Volunteering (intervals 0-9, 10-19, 20-29, 30-39, 40-49)
Y-axis: Frequency (scale 0 to 8)

Step4: Draw bars for each interval

Each bar's height matches its interval's frequency, with no gaps between bars.

Answer:

A histogram with the following specifications:

• X-axis labeled "Hours Spent Volunteering" with intervals: 0-9, 10-19, 20-29, 30-39, 40-49
• Y-axis labeled "Frequency" with scale from 0 to 8
• Bars:
• 0-9: Height = 4
• 10-19: Height = 8
• 20-29: Height = 5
• 30-39: Height = 5
• 40-49: Height = 7

(No gaps between adjacent bars)