Five Number Summary Worksheet

A Grade 10 math worksheet focusing on calculating and interpreting the five number summary (minimum, first quartile, median, third quartile, maximum) for various data sets.

Grade 10 Math Probability and StatisticsFive Number Summary

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Includes

Fill in the Blanks3 Short AnswerMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSS.ID.A.1CCSS.MATH.CONTENT.HSS.ID.A.3

Topics

MathGrade 10Five Number SummaryStatisticsQuartilesMedian

8 sections · Free to use · Printable

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Five Number Summary Worksheet

Name:

Date:

Score:

Read each question carefully and provide the requested information. Show all your work for calculations.

1. The is the middle value of a dataset when it is ordered from least to greatest.

2. The first quartile (Q1) represents the percentile of the data.

3. The difference between the third quartile (Q3) and the first quartile (Q1) is called the .

4. The is the smallest value in a dataset.

1. Find the five-number summary for the following dataset:

Dataset: 12, 15, 18, 20, 22, 25, 28, 30, 32, 35

Minimum:

First Quartile (Q1):

Median:

Third Quartile (Q3):

Maximum:

2. Calculate the five-number summary for the given data:

Dataset: 5, 8, 10, 11, 13, 16, 19, 21, 24

Minimum:

First Quartile (Q1):

Median:

Third Quartile (Q3):

Maximum:

1. What percentage of the data falls below the first quartile (Q1)?

10%

25%

50%

75%

2. If the median of a dataset is 40, what does this tell us about the data?

The data is skewed right.

The average of the data is 40.

Half of the data points are less than or equal to 40.

The most frequent data point is 40.

A student scored the following on 9 math tests: 78, 85, 92, 70, 88, 95, 80, 83, 90.

1. Calculate the five-number summary for this student's test scores.

Minimum:

First Quartile (Q1):

Median:

Third Quartile (Q3):

Maximum:

2. What is the interquartile range (IQR) for these test scores?

3. Explain what the IQR tells you about the spread of the student's scores.

1. The five-number summary is always composed of the mean, median, mode, range, and interquartile range.

True

False

2. A dataset with an even number of data points will always have a median that is one of the original data points.

True

False

The number of goals scored by a soccer team in their last 11 games are: 2, 0, 3, 1, 2, 4, 1, 0, 2, 3, 1.

1. Determine the five-number summary for the goals scored.

Minimum:

First Quartile (Q1):

Median:

Third Quartile (Q3):

Maximum:

2. On the number line below, mark the five-number summary.