6th Grade Mean, Median, Spread and Box Plots Worksheet (PDF)

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

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This center spread worksheet 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.

These 20 problems practice measures of center and spread (Common Core 6.SP.A.3, 6.SP.B.5c, and 6.SP.B.5d). You will find the mean, median, mode, range, MAD, and IQR, build and read box plots, and decide which measure best describes a data set.

Grade 6 · Common Core State Standards: 6.SP.A.3, 6.SP.B.5c, 6.SP.B.5d

Center spread worksheet: exercises 1 to 10

Exercise 1 – Mean

Find the mean of 4, 8, 6, 10, 12.

Exercise 2 – Median (odd)

Find the median of 7, 3, 9, 5, 1.

Exercise 3 – Median (even)

Find the median of 2, 4, 6, 10.

Exercise 4 – Mode and range

Find the mode and the range of 3, 5, 5, 6, 7, 5, 9, 6.

Exercise 5 – Mean as a fair share

Three students read 3, 5, and 7 books.

Ana, Ben, and Cy read 3, 5, and 7 books. If they shared the books equally, how many would each have? What is the mean?

Exercise 6 – Missing value

The mean of five numbers is 12. Four of the numbers are 10, 14, 9, and 13. Find the fifth number.

Exercise 7 – Mean absolute deviation

The mean is 5.

Find the mean absolute deviation (MAD) of 2, 4, 6, 8.

Exercise 8 – MAD of five values

Find the mean and the MAD of 10, 12, 14, 16, 18.

Exercise 9 – Quartiles and IQR

Find the median, the first quartile, the third quartile, and the interquartile range (IQR) of 3, 5, 7, 8, 10, 12, 14, 15, 18.

Exercise 10 – Make a box plot

Find the five-number summary of 2, 4, 5, 7, 8, 9, 12, 14 and draw a box plot.

Exercises 11 and up

Exercise 11 – Read a box plot

Minutes spent on homework.

Use the box plot to find the median, the range, and the IQR.

Exercise 12 – Effect of an outlier

The data set is 5, 6, 7, 8, 9, 40. Find the mean and median with the value 40 and without it. Which measure changes more?

Exercise 13 – Choose the measure

The salaries (in thousands of dollars) at a small company are 30, 32, 35, 36, 38, and 250. Which measure of center better describes a typical salary, the mean or the median? Explain.

Exercise 14 – Compare two box plots

Test scores for two classes.

Compare the medians and the IQRs of the two classes.

Exercise 15 – Mean from a table

Quiz scores.

Find the number of students and the mean score.

Exercise 16 – Basketball points

Jamal scored 12, 15, 9, 18, 12, 20, 15, 15 points in 8 games. Find the mean, median, and mode.

Exercise 17 – Weekly temperatures

The high temperatures (°F) for a week were 41, 38, 45, 52, 39, 47, 44. Find the mean, median, and range.

Exercise 18 – Mean and median together

Find the mean and the median of the whole numbers from 1 through 10.

Exercise 19 – Interpret the IQR

A box plot of the times (in minutes) that sixth graders take to get to school has Q1 = 8 and Q3 = 20. What does the IQR tell about the data?

Exercise 20 – Adding a score

Priya’s first four test scores are 80, 85, 90, and 95. Find her mean. Then she scores 70 on the fifth test. Find the new mean and tell whether it went up or down.

Key facts behind this center spread worksheet

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 worksheet

Work through the exercises in order: they go from simple to challenging. Write every step on paper, then compare with the solutions page and redo any exercise you missed the next day.

Download the center spread worksheet as a PDF with the button below and keep it with your notes.

All Grade 6 chapters: Grade 6 math.

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