Question

which data set represents the histogram?
a {56, 66, 71, 78, 53, 73, 69, 68, 70, 60, 59, 55}
b {57, 66, 76, 78, 57, 53, 69, 68, 71, 68, 59, 55}
c {56, 66, 71, 78, 57, 53, 69, 68, 70, 60, 59, 55}
d {61, 61, 71, 78, 57, 53, 69, 68, 70, 76, 59, 55}
e {56, 66, 71, 78, 77, 53, 69, 68, 70, 60, 59, 55}

Explanation:

Step1: Analyze histogram intervals

The histogram has intervals: 50 - 54, 55 - 59, 60 - 64, 65 - 69, 70 - 74, 75 - 79. Their frequencies are 1, 4, 1, 3, 2, 1 respectively.

Step2: Check each option's data in intervals

• Interval 50 - 54: Only one data point. Check options:
• A: 53 (1 data)
• B: 53 (1 data)
• C: 53 (1 data)
• D: 53 (1 data)
• E: 53 (1 data)
• Interval 55 - 59: Frequency 4. Data should be 55, 56, 57, 59 (or similar in 55 - 59).
• A: 56, 59, 55 (3 data) → No
• B: 57, 59, 55 (3 data) → No
• C: 56, 57, 59, 55 (4 data) → Good
• D: 57, 59, 55 (3 data) → No
• E: 56, 59, 55 (3 data) → No
• Interval 60 - 64: Frequency 1. Data should be one in 60 - 64.
• C: 60 (1 data) → Good
• Interval 65 - 69: Frequency 3. Data: 66, 69, 68 (3 data) → Good
• Interval 70 - 74: Frequency 2. Data: 71, 70 (2 data) → Good
• Interval 75 - 79: Frequency 1. Data: 78 (1 data) → Good

Answer:

C. {56, 66, 71, 78, 57, 53, 69, 68, 70, 60, 59, 55}