Creating and Interpreting Histograms

6th Grade

Reviewed by Cierra Henderson

Cierra Henderson, MBA |

K-12 Expert

Review Board Member

Cierra is an educational consultant and curriculum developer who has worked with students in K-12 for a variety of subjects including English and Math as well as test prep. She specializes in one-on-one support for students especially those with learning differences. She holds an MBA from the University of Massachusetts Amherst and a certificate in educational consulting from UC Irvine.

, MBA

By Thames

Thames

Community Contributor

Quizzes Created: 8156 | Total Attempts: 9,586,195

| Questions: 20 | Updated: Jan 21, 2026

Share on Facebook Share on Twitter Share on Whatsapp Share on Pinterest Share on Email Copy to Clipboard Embed on your website

Question 1 / 20

🏆 Rank #-- ▾

0 %

0/100

Score 0/100

1) How many students scored between 80 and 89 (inclusive)?

To find the number of students scoring between 80 and 89, count them directly. If 9 students fall within this range, the correct answer is A. Each student scoring in this interval contributes to the total of 9.

Explanation

Submit

About This Quiz

Creating and Interpreting Histograms - Quiz

Ready to unlock the secrets of histograms? In this quiz, you'll dive into creating and interpreting histograms with real-life data sets. From analyzing test scores to the number of books read over the summer, you’ll practice grouping data into intervals, identifying peaks, and understanding distributions. You'll also learn key concepts... see morelike frequency, clusters, and how to choose the best intervals for your data. By the end, you’ll be able to confidently create and read histograms, and use them to draw meaningful conclusions from any data set!
see less

2) If you were to create a histogram with intervals 60–69, 70–79, 80–89, and 90–99, which interval would have the tallest bar?

70–79

90–99

80–89

60–69

The interval 80-89 has the most data points. For example, if 25 data points fall in this range, compared to 10 in 70-79, 5 in 90-99, and 15 in 60-69, it clearly has the tallest bar.

Explanation

The interval 80-89 has the most data points. For example, if 25 data points fall in this range, compared to 10 in 70-79, 5 in 90-99, and 15 in 60-69, it clearly has the tallest bar.

Submit

3) Using the same intervals from question 2, how many students scored in the 70–79 range?

To find the number of students in the 70-79 range, review the data. Count each student who scored between 70 and 79. The total adds up to 8, confirming option D as correct.

Explanation

To find the number of students in the 70-79 range, review the data. Count each student who scored between 70 and 79. The total adds up to 8, confirming option D as correct.

Submit

4) What is the best description of the distribution of test scores?

The scores are evenly distributed across all ranges

Most scores are clustered in the higher ranges (80–99)

Most scores are clustered in the lower ranges (60–79)

There is a large gap between the lowest and highest scores

Most scores fall between 80 and 99, indicating a concentration of higher test scores, which signifies a positive performance trend among test-takers.

Explanation

Most scores fall between 80 and 99, indicating a concentration of higher test scores, which signifies a positive performance trend among test-takers.

Submit

5) If a histogram of this data shows a peak in the 80–89 interval, what does this tell us?

No students scored below 80

All students scored between 80–89

The average score is exactly 85

More students scored in the 80–89 range than any other interval

The peak indicates that the number of students scoring in the 80-89 range is higher than any other score range, emphasizing this interval as the most populated.

Explanation

The peak indicates that the number of students scoring in the 80-89 range is higher than any other score range, emphasizing this interval as the most populated.

Submit

6) What is the main purpose of a histogram?

To show the distribution of data across intervals

To compare two different data sets

To show the relationship between two variables

To show individual data points exactly

A histogram visualizes data distribution by grouping values into intervals (bins). This allows us to see how data is spread out, identifying patterns such as skewness or normality.

Explanation

A histogram visualizes data distribution by grouping values into intervals (bins). This allows us to see how data is spread out, identifying patterns such as skewness or normality.

Submit

7) In a histogram, what does the height of each bar represent?

The range of the data

The mean of the interval

The frequency (number of data points) in that interval

The median of the data set

In a histogram, each bar's height shows how many data points fall within that interval. For example, if a bar reaches 5, it means there are 5 data points in that range. This represents the frequency of data in that specific interval.

Explanation

Submit

8) Which of the following is TRUE about histograms?

The bars should have spaces between them

The bars should touch each other with no gaps

Each bar represents one data point

The bars can be arranged in any order

Histograms display continuous data, and the bars must touch to show intervals of data. This indicates that data points fall within ranges, reinforcing the connection of values across the scale.

Explanation

Histograms display continuous data, and the bars must touch to show intervals of data. This indicates that data points fall within ranges, reinforcing the connection of values across the scale.

Submit

9) A histogram shows the ages of people at a movie theater. The intervals are 0–9, 10–19, 20–29, 30–39, and 40–49. If the 10–19 bar has a height of 12, what does this mean?

The average age is 12

There are 12 age groups

The oldest person is 12 years old

There are 12 people whose ages are between 10 and 19

The height of the 10-19 bar represents the count of individuals in that age range. Since the bar shows 12, it indicates that there are 12 people whose ages fall between 10 and 19.

Explanation

The height of the 10-19 bar represents the count of individuals in that age range. Since the bar shows 12, it indicates that there are 12 people whose ages fall between 10 and 19.

Submit

10) When creating a histogram, what should you label on the horizontal axis (x-axis)?

The intervals or bins of data

Frequency

The title of the graph

The mean of the data

In a histogram, the x-axis represents the intervals or bins of data, which categorize the data points. This allows for a visual representation of how data is distributed across different ranges.

Explanation

In a histogram, the x-axis represents the intervals or bins of data, which categorize the data points. This allows for a visual representation of how data is distributed across different ranges.

Submit

11) How many students read between 7 and 9 books (inclusive)?

The range includes 7, 8, and 9 books. Counting these gives us 3 possibilities. If the total number of students reading is 9, then 9 is the answer.

Explanation

The range includes 7, 8, and 9 books. Counting these gives us 3 possibilities. If the total number of students reading is 9, then 9 is the answer.

Submit

12) Which interval would have the shortest bar in the histogram?

4–6

10–13

0–3

7–9

The interval 0–3 typically contains fewer data points, resulting in a shorter bar. To find the shortest, compare the frequencies of each interval; the lowest frequency indicates the shortest bar.

Explanation

The interval 0–3 typically contains fewer data points, resulting in a shorter bar. To find the shortest, compare the frequencies of each interval; the lowest frequency indicates the shortest bar.

Submit

13) How many students are represented in this data set?

The data set enumerates each student listed. Counting them reveals a total of 25 students, making option D the correct choice.

Explanation

The data set enumerates each student listed. Counting them reveals a total of 25 students, making option D the correct choice.

Submit

14) If the histogram shows that the 4–6 interval and the 7–9 interval have similar heights, what can we conclude?

All students read the same number of books

About the same number of students read 4–6 books as read 7–9 books

The data has no pattern

Most students read more than 10 books

The similar heights of the 4–6 and 7–9 intervals indicate that the number of students in these ranges is about the same. This suggests a comparable interest in reading books within these two counts.

Explanation

Submit

15) A histogram of daily temperatures shows a gap between 50–59°F and 70–79°F. What does this gap indicate?

No temperatures were recorded in the 60–69°F range

The average temperature was 65°F

The thermometer was broken

Temperatures changed rapidly

The gap indicates that no temperatures were recorded between 60-69°F, as this range shows a lack of data in the histogram. An average temperature or thermometer issues would not create a gap.

Explanation

The gap indicates that no temperatures were recorded between 60-69°F, as this range shows a lack of data in the histogram. An average temperature or thermometer issues would not create a gap.

Submit

16) When organizing data into intervals for a histogram, which is the BEST practice?

Make intervals of different sizes

Make intervals of equal width

Use as few intervals as possible

Put all data in one interval

Using equal width intervals ensures all data points are represented consistently, allowing for accurate comparison. This approach helps in visualizing the distribution clearly and avoids misleading interpretations that can arise from uneven intervals.

Explanation

Submit

17) A histogram shows the heights of students in inches with intervals: 48–51, 52–55, 56–59, 60–63. The tallest bar is at 52–55. What is a cluster?

A gap in the data

The highest single value

A group of data points concentrated in one area

The range of the data

A cluster refers to a group of data points that are closely packed together. In this histogram, the tallest bar at 52-55 indicates many students have heights within this range, forming a cluster. This highlights where most data points concentrate.

Explanation

Submit

18) What is the difference between a histogram and a bar graph?

Histograms use colors, bar graphs do not

Histograms show continuous data with touching bars; bar graphs show categorical data with separated bars

Histograms are always vertical, bar graphs are always horizontal

There is no difference

Histograms display continuous data, represented by adjacent bars, while bar graphs represent distinct categories with gaps between bars. This distinction helps in understanding data types.

Explanation

Histograms display continuous data, represented by adjacent bars, while bar graphs represent distinct categories with gaps between bars. This distinction helps in understanding data types.

Submit

19) A histogram shows the heights of students in inches with intervals: 48–51, 52–55, 56–59, 60–63. The tallest bar is at 52–55. What is a cluster?

Bimodal (having two peaks)

Skewed

Uniform

Clustered

A bimodal distribution has two peaks, indicating two clusters of data. Here, the tallest bar at 52–55 suggests a concentration of heights, confirming the presence of two modes.

Explanation

A bimodal distribution has two peaks, indicating two clusters of data. Here, the tallest bar at 52–55 suggests a concentration of heights, confirming the presence of two modes.

Submit

20) If you have the following data for hours of sleep: 5, 6, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, and you create a histogram with intervals 5–6, 7–8, 9–10, what would the frequency be for the 7–8 interval?

To find the frequency for the interval 7–8, count how many values fall within this range. The values are 7, 7, 7, and 8. Therefore, there are 4 occurrences of 7 or more, which gives a frequency of 3 for 7 specifically.

Explanation

Submit