Grade: Grade 6 Subject: Mathematics Unit: Statistics Introduction Lesson: 6 of 6 SAT: ProblemSolving+DataAnalysis ACT: Math

Unit Checkpoint

Unit Assessment

Use this data set for questions 1-4: Heights in inches: 58, 62, 65, 58, 70, 65, 68

Find the mean height.

Find the median height.

Find the mode(s).

Find the range.

What does it mean if a data set has no mode?

Data set: 5, 8, 12, 15, 20. What is the median?

The mean of 5 quiz scores is 84. What is the sum of all 5 scores?

Which is greater for: 2, 3, 3, 4, 100? Mean or median?

How does adding an outlier affect the range?

Why might median be a better measure than mean for home prices in a city?

Click to reveal answers

1. (58+62+65+58+70+65+68)/7 = 446/7 = 63.71 inches

2. Ordered: 58, 58, 62, 65, 65, 68, 70. Median = 65

3. Modes: 58 and 65 (both appear twice)

4. Range = 70 - 58 = 12 inches

5. No value appears more than once

6. Median = 12 (middle of 5 values)

7. Sum = 84 x 5 = 420

8. Mean = 22.4, Median = 3. Mean is greater (outlier pulls it up)

9. Increases the range significantly

10. A few very expensive homes would skew the mean upward, but median shows typical price

Score	Mastery Level	Next Steps
9-10	Advanced	Move on to the next unit!
7-8	Proficient	Review missed concepts, then proceed.
5-6	Developing	Review lessons 3-5 before moving on.
0-4	Beginning	Restart the unit from Lesson 1.