6th Grade Mean, Median, Spread and Box Plots Test with Point Values (PDF)

6th Grade math test: Mean, Median, Spread and Box Plots – Maths PDF

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This center spread test for 6th Grade covers mean, median, spread and box plots (Common Core 6.SP.A.3, 6.SP.B.5c, 6.SP.B.5d), with a free PDF to print.

This 45-minute test has 9 questions worth 20 points. It covers mean, median, MAD, quartiles, box plots, and comparing data sets (Common Core 6.SP.A.3 and 6.SP.B.5). Show your work for full credit.

Time and points

About this test

Grade: Grade 6
Chapter: Mean, Median, Spread and Box Plots
Standards: 6.SP.A.3, 6.SP.B.5c, 6.SP.B.5d
Time: 45 minutes
Total: 20 points

Center spread test: questions

Question 1 – Mean and median [2 pts]

Find the mean and median of 6, 9, 7, 8, 5.

Question 2 – Even-sized set [2 pts]

Find the median and mode of 3, 7, 4, 10, 6, 6.

Question 3 – MAD [2 pts]

The mean is 7.

Find the mean absolute deviation of 4, 6, 8, 10.

Question 4 – Box plot [2 pts]

Find the five-number summary of 1, 3, 4, 6, 7, 9, 10, 12 and draw a box plot.

Question 5 – Read a box plot [2 pts]

Number of customers per hour.

Find the median, the range, and the IQR.

Question 6 – Outlier [2 pts]

The data 10, 11, 12, 12, 13, 60 include an outlier. Which measure of center better describes the data, the mean or the median? Support your answer with values.

Question 7 – Missing score [2 pts]

The mean of six test scores is 82. Five of the scores are 78, 85, 90, 76, and 80. Find the sixth score.

Question 8 – Compare [3 pts]

Minutes to read.

Compare the medians and IQRs. Which group has the greater typical time? Which has the greater spread (IQR)?

Question 9 – Describe the data [3 pts]

A student recorded the number of text messages sent each day for a week: 12, 15, 11, 14, 13, 12, 41. Find the mean and median, find the MAD of the first six values only (12, 15, 11, 14, 13, 12), and explain which measure of center you would report.

Key facts behind this center spread test

Key facts

Mean = sum divided by the number of values; median = middle value.
Range = greatest minus least; IQR = Q3 minus Q1.
MAD is the average distance of the values from the mean.
A box plot shows the minimum, Q1, median, Q3, and maximum.
Outliers pull the mean but not the median.

How to use this center spread test

Time yourself: the test is designed for an average student in 45 minutes. Answer the questions you are sure of first, then come back to the longer ones and check your units.

All Grade 6 chapters: Grade 6 math.

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