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Histogram Interpretation Worksheet

Grade 12 Math worksheet focusing on interpreting histograms, understanding shape, center, spread, and identifying common distribution patterns.

Grade 12 Math Data and GraphingHistogram Interpretation
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HSS-ID.A.1HSS-ID.A.2HSS-ID.A.3mathgrade-12histogramdata analysisstatistics
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Histogram Interpretation

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Carefully analyze each histogram and answer the questions that follow. Pay attention to the shape, center, and spread of the data distributions.

1. Which of the following best describes the shape of the distribution shown in Histogram A?

Histogram A: Daily Commute Times (minutes)051015202530150-102511-203021-302031-401041-50551-60FrequencyCommute Time (minutes)
a

Symmetric and unimodal

b

Skewed right

c

Skewed left

d

Bimodal

2. In Histogram A, the class with the highest frequency is  , representing   commuters.

3. If the data in a histogram is skewed to the right, the mean is typically   than the median.

4. Describe a real-world scenario that would likely produce a histogram with a bimodal distribution. Explain why.

5. A histogram is an appropriate graph for displaying categorical data.

T

True

F

False

6. The width of the bars in a histogram always represents the frequency of the data.

T

True

F

False

7. Consider two histograms, one with a small range and another with a large range, but both with the same number of data points. How would their appearance differ, and what does this imply about the data's variability?

Match the histogram shape description with its characteristic.

a. Skewed Left

 

1. Tail extends to the right

b. Skewed Right

 

2. Mean is approximately equal to median

c. Symmetric

 

3. Tail extends to the left