Examining Data Sets - Data analysis - mean, median, IQR and MAD practice

Sep 30, 2026

Practice worksheet and answer key for analyzing numerical data sets. Students are asked to compute the mean, median, interquartile range (IQR), and mean absolute deviation (MAD) for several labeled number sequences, rounding to the nearest tenth when possible. Example items show the full calculation components (Q1, Q3, and distances) alongside final results, enabling direct comparison between the procedures and provided answers.

LanguageEnglish

CategoryExam

FormatPDF

Pages3

Reading Time8 min

AccessFree to download

Mean and Median

Interquartile Range (Q1, Q3, IQR)

Mean Absolute Deviation (MAD)

Practice Sets and Answer Key

Examining Data Sets Name: | Find the Mean, Median, Interquartile Range and Mean Absolute Deviation of theset of numbers. If possible round to the nearest tenth. | | | | | Answers
Ex. 3.8 5 4 1.8 1.
2.
3.
4.
5.
6.
7. | | | | | | | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | Ex) 5 , 2 , 6 , 5 , 1
1, 2, 5, 5, 6 Q1 = 1.5 Q3 = 5.5
1) 9 , 8 , 3 , 6 , 4
2) 8 , 4 , 1 , 6 , 7 , 2
3) 4 , 1 , 6 , 2 , 7 , 2
4) 7 , 3 , 5 , 6 , 1 , 7
5) 8 , 9 , 4 , 9 , 3 , 3
6) 2 , 1 , 2 , 3 , 1 , 7 1
7) 3 , 8 , 7 , 6 , 6 , 8 4 | ,
,
,
, | 6
4
7
6 | mean = 3.8 Number 1 2 5 5 6 median = 5 Distance 2.8 1.8 1.2 1.2 2.2
I.Q. R. = 4
M.A. D. = 1.8

| | | | | | | | | | | | | , | | | | | | | | | | | | | , | | | | | | | | | | 1-7 | | | | | 86 | 71 | 57 | 43 | 29 | 14 | 0 | [Math](Math www.CommonCoreSheets.com 10)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 10)[ 10](Math www.CommonCoreSheets.com 10) Examining Data Sets Name: Answer Key | Find the Mean, Median, Interquartile Range and Mean Absolute Deviation of theset of numbers. If possible round to the nearest tenth. | | Answers Ex. 3.8 5 4 1.8 1. 6 6 5 2 2. 4.7 5 5 2.3 3. 3.7 3 4 2 4. 5 6 4 1.7 5. 5.7 4 6 2.5 6. 3 2 4 2 7. 6 6 2.5 1.3 | | | | | | | | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | Ex) 5 , 2 , 6 , 5 , 1
1, 2, 5, 5, 6 Q1 = 1.5 Q3 = 5.5
1) 9 , 8 , 3 , 6 , 4
3, 4, 6, 8, 9 Q1 = 3.5 Q3 = 8.5
2) 8 , 4 , 1 , 6 , 7 , 2
1, 2, 4, 6, 7, 8 Q1 = 2 Q3 = 7
3) 4 , 1 , 6 , 2 , 7 , 2
1, 2, 2, 4, 6, 7 Q1 = 2 Q3 = 6
4) 7 , 3 , 5 , 6 , 1 , 7 , 6
1, 3, 5, 6, 6, 7, 7 Q1 = 3
Q3 = 7
5) 8 , 9 , 4 , 9 , 3 , 3 , 4
3, 3, 4, 4, 8, 9, 9 Q1 = 3
Q3 = 9
6) 2 , 1 , 2 , 3 , 1 , 7 , 7 , 1
1, 1, 1, 2, 2, 3, 7, 7 Q1 = 1
Q3 = 5
7) 3 , 8 , 7 , 6 , 6 , 8 , 6 , 4
3, 4, 6, 6, 6, 7, 8, 8 Q1 = 5
Q3 = 7.5 | mean = 3.8 Number 1 2 5 5 6 median = 5 Distance 2.8 1.8 1.2 1.2 2.2
I.Q. R. = 4
M.A. D. = 1.8

mean = 6 Number median = 6Distance
I.Q. R. = 5
M.A. D. = 2
33
42
60
82
93

mean = 4.7 Number 1 2 4 6 7 8 median = 5 Distance 3.7 2.7 0.7 1.3 2.3 3.3
I.Q. R. = 5
M.A. D. = 2.3

mean = 3.7 Number 1 2 2 4 6 7 median = 3Distance 2.7 1.7 1.7 0.3 2.3 3.3
I.Q. R. = 4
M.A. D. = 2

mean = 5 Number median = 6 Distance
I.Q. R. = 4
M.A. D. = 1.7
14
32
50
61
61
72
72

mean = 5.7 Number 3 3 4 4 8 9 9 median = 4 Distance 2.7 2.7 1.7 1.7 2.3 3.3 3.3
I.Q. R. = 6
M.A. D. = 2.5

mean = 3 Number median = 2Distance
I.Q. R. = 4
M.A. D. = 2
12
12
12
21
21
30
74
74

mean = 6 Number median = 6 Distance
I.Q. R. = 2.5
M.A. D. = 1.3
33
42
60
60
60
71
82
82
| | | | | | | | | | 1-7 | | | 86 | 71 | 57 | 43 | 29 | 14 | 0 | [Math](Math www.CommonCoreSheets.com 10)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 10)[ 10](Math www.CommonCoreSheets.com 10) Examining Data Sets Name: | Find the Mean, Median, Interquartile Range and Mean Absolute Deviation of theset of numbers. If possible round to the nearest tenth.
Ex) 5 , 2 , 6 , 5 , 1 mean = 3.8 Number 1 2 5 5 6
1, 2, 5, 5, 6 median = 5 Distance 2.8 1.8 1.2 1.2 2.2
Q1 = 1.5 I.Q.R. = 4
Q3 = 5.5 M.A.D. = 1.8
1) 9 , 8 , 3 , 6 , 4

2) 8 , 4 , 1 , 6 , 7 , 2

3) 4 , 1 , 6 , 2 , 7 , 2

4) 7 , 3 , 5 , 6 , 1 , 7 , 6

5) 8 , 9 , 4 , 9 , 3 , 3 , 4

| Answers
Ex. 3.8 5 4 1.8 1.
2.
3.
4.
5. | | --- | --- | Math Modified [www.CommonCoreSheets.com](www.CommonCoreSheets.com) 10 1-5 80 60 40 20 0

FAQs

What statistics does the worksheet ask students to find for each data set?

Students compute the mean, median, interquartile range (IQR), and mean absolute deviation (MAD).

What rounding guidance is given for the results?

Results should be rounded to the nearest tenth when possible.

How are IQR-related quantities determined in the examples?

The examples provide Q1 and Q3 values, then use them to obtain the interquartile range (IQR).

Sep 30, 2026

Uploaded by Alexandar