This quick quiz has ten multiple-choice questions on the mean, median, range, interquartile range, and mean absolute deviation. Choose one answer for each question. After you finish, read each explanation to see the common mistake behind the wrong choices.
Grade 6Common Core: 6.SP.A.3 · 6.SP.B.5c · 6.SP.B.5d
🎯 Mean, Median, Range, IQR and Mean Absolute Deviation – Grade 6 math quiz
Question 1
Dot plot for Question 1.
What is the mean of the data shown?
A
7.5
B
28
C
7
D
8
Question 2
What is the median of 3, 9, 2, and 12?
A
5.5
B
6
C
6.5
D
12
Question 3
Dot plot for Question 3.
What is the range of the data shown?
A
30
B
76
C
15
D
21
Question 4
Box plot for Question 4.
What is the interquartile range?
A
8
B
32
C
16
D
4
Question 5
The distances of five values from their mean are 2, 0, 1, 3, and 4. What is the mean absolute deviation?
A
10
B
4
C
5
D
2
Question 6
Which measure of center is least affected by one extremely large value?
A
mean
B
range
C
mean absolute deviation
D
median
Question 7
Five values have a mean of 11. Four of them are 8, 12, 9, and 11. What is the fifth value?
A
15
B
11
C
55
D
14
Question 8
Team A has a MAD of 1.5 points and Team B has a MAD of 4 points. Both have the same mean. Which team is more consistent?
A
Team B, because its MAD is larger
B
Team A, because its MAD is larger
C
Team A, because its MAD is smaller
D
Team B, because its MAD is smaller
Question 9
A data set has one very large outlier. Which pair of measures should be used to describe it?
A
mean and MAD
B
median and IQR
C
mean and IQR
D
range and mean
Question 10
Sofia's mean score on 6 tests is 85. What is the total of her 6 scores?
A
510
B
91
C
425
D
480
🎉 Quiz complete!
0 / 10
Remember:
- Mean: sum of the values divided by the number of values.
- Median: the middle value of the ordered data.
- Range is maximum minus minimum; \(IQR = Q_3 – Q_1\).
- MAD is the mean of the distances of the values from the mean.
- An outlier changes the mean much more than the median.
See every chapter on the Grade 6 math page.