MathsAges 13-15

Median & range of data sets

Find the middle value (median) or the spread (range) of an ordered five-number data set. Review suitability for your learners before teaching.

Choose “Save as PDF” to keep a copy. Use your browser’s paper setting for A4 or Letter.

Worksheet StudioPractice pack · Ages 13-15

Take your time. Show your thinking.

1. Find the range of the ordered data set: 8, 11, 13, 21, 23.
8 · 11 · 13 · 21 · Median & range of data sets
2. Find the median of the ordered data set: 28, 32, 36, 44, 45.
28 · 32 · 36 · 44 · Median & range of data sets
3. Find the range of the ordered data set: 10, 17, 20, 24, 27.
10 · 17 · 20 · 24 · Median & range of data sets
4. Find the range of the ordered data set: 19, 26, 30, 32, 37.
19 · 26 · 30 · 32 · Median & range of data sets
5. Find the range of the ordered data set: 19, 24, 26, 34, 36.
19 · 24 · 26 · 34 · Median & range of data sets
6. Find the median of the ordered data set: 9, 13, 14, 17, 24.
9 · 13 · 14 · 17 · Median & range of data sets
7. Find the median of the ordered data set: 7, 8, 13, 14, 20.
7 · 8 · 13 · 14 · Median & range of data sets
8. Find the median of the ordered data set: 4, 12, 15, 17, 21.
4 · 12 · 15 · 17 · Median & range of data sets
9. Find the range of the ordered data set: 5, 12, 18, 23, 30.
5 · 12 · 18 · 23 · Median & range of data sets
10. Find the range of the ordered data set: 12, 16, 24, 27, 29.
12 · 16 · 24 · 27 · Median & range of data sets
11. Find the range of the ordered data set: 17, 25, 28, 34, 37.
17 · 25 · 28 · 34 · Median & range of data sets
12. Find the range of the ordered data set: 29, 37, 42, 47, 49.
29 · 37 · 42 · 47 · Median & range of data sets

12 questions · Seed 50 · Age guidance, not curriculum certification

View the answer key

Worksheet StudioAnswer key · Ages 13-15

Answers and reasoning. Review before teaching.

1. Find the range of the ordered data set: 8, 11, 13, 21, 23.
15
The range is maximum minus minimum: 23 − 8 = 15.
2. Find the median of the ordered data set: 28, 32, 36, 44, 45.
36
The middle (3rd) value of the 5 ordered numbers is 36.
3. Find the range of the ordered data set: 10, 17, 20, 24, 27.
17
The range is maximum minus minimum: 27 − 10 = 17.
4. Find the range of the ordered data set: 19, 26, 30, 32, 37.
18
The range is maximum minus minimum: 37 − 19 = 18.
5. Find the range of the ordered data set: 19, 24, 26, 34, 36.
17
The range is maximum minus minimum: 36 − 19 = 17.
6. Find the median of the ordered data set: 9, 13, 14, 17, 24.
14
The middle (3rd) value of the 5 ordered numbers is 14.
7. Find the median of the ordered data set: 7, 8, 13, 14, 20.
13
The middle (3rd) value of the 5 ordered numbers is 13.
8. Find the median of the ordered data set: 4, 12, 15, 17, 21.
15
The middle (3rd) value of the 5 ordered numbers is 15.
9. Find the range of the ordered data set: 5, 12, 18, 23, 30.
25
The range is maximum minus minimum: 30 − 5 = 25.
10. Find the range of the ordered data set: 12, 16, 24, 27, 29.
17
The range is maximum minus minimum: 29 − 12 = 17.
11. Find the range of the ordered data set: 17, 25, 28, 34, 37.
20
The range is maximum minus minimum: 37 − 17 = 20.
12. Find the range of the ordered data set: 29, 37, 42, 47, 49.
20
The range is maximum minus minimum: 49 − 29 = 20.

12 questions · Seed 50 · Age guidance, not curriculum certification

Worksheet StudioPractice pack · Ages 13-15

Take your time. Show your thinking.

1. Find the range of the ordered data set: 8, 11, 13, 21, 23.
8 · 11 · 13 · 21 · Median & range of data sets
2. Find the median of the ordered data set: 28, 32, 36, 44, 45.
28 · 32 · 36 · 44 · Median & range of data sets
3. Find the range of the ordered data set: 10, 17, 20, 24, 27.
10 · 17 · 20 · 24 · Median & range of data sets
4. Find the range of the ordered data set: 19, 26, 30, 32, 37.
19 · 26 · 30 · 32 · Median & range of data sets
5. Find the range of the ordered data set: 19, 24, 26, 34, 36.
19 · 24 · 26 · 34 · Median & range of data sets
6. Find the median of the ordered data set: 9, 13, 14, 17, 24.
9 · 13 · 14 · 17 · Median & range of data sets
7. Find the median of the ordered data set: 7, 8, 13, 14, 20.
7 · 8 · 13 · 14 · Median & range of data sets
8. Find the median of the ordered data set: 4, 12, 15, 17, 21.
4 · 12 · 15 · 17 · Median & range of data sets
9. Find the range of the ordered data set: 5, 12, 18, 23, 30.
5 · 12 · 18 · 23 · Median & range of data sets
10. Find the range of the ordered data set: 12, 16, 24, 27, 29.
12 · 16 · 24 · 27 · Median & range of data sets
11. Find the range of the ordered data set: 17, 25, 28, 34, 37.
17 · 25 · 28 · 34 · Median & range of data sets
12. Find the range of the ordered data set: 29, 37, 42, 47, 49.
29 · 37 · 42 · 47 · Median & range of data sets

12 questions · Seed 50 · Age guidance, not curriculum certification

Worksheet StudioAnswer key · Ages 13-15

Answers and reasoning. Review before teaching.

1. Find the range of the ordered data set: 8, 11, 13, 21, 23.
15
The range is maximum minus minimum: 23 − 8 = 15.
2. Find the median of the ordered data set: 28, 32, 36, 44, 45.
36
The middle (3rd) value of the 5 ordered numbers is 36.
3. Find the range of the ordered data set: 10, 17, 20, 24, 27.
17
The range is maximum minus minimum: 27 − 10 = 17.
4. Find the range of the ordered data set: 19, 26, 30, 32, 37.
18
The range is maximum minus minimum: 37 − 19 = 18.
5. Find the range of the ordered data set: 19, 24, 26, 34, 36.
17
The range is maximum minus minimum: 36 − 19 = 17.
6. Find the median of the ordered data set: 9, 13, 14, 17, 24.
14
The middle (3rd) value of the 5 ordered numbers is 14.
7. Find the median of the ordered data set: 7, 8, 13, 14, 20.
13
The middle (3rd) value of the 5 ordered numbers is 13.
8. Find the median of the ordered data set: 4, 12, 15, 17, 21.
15
The middle (3rd) value of the 5 ordered numbers is 15.
9. Find the range of the ordered data set: 5, 12, 18, 23, 30.
25
The range is maximum minus minimum: 30 − 5 = 25.
10. Find the range of the ordered data set: 12, 16, 24, 27, 29.
17
The range is maximum minus minimum: 29 − 12 = 17.
11. Find the range of the ordered data set: 17, 25, 28, 34, 37.
20
The range is maximum minus minimum: 37 − 17 = 20.
12. Find the range of the ordered data set: 29, 37, 42, 47, 49.
20
The range is maximum minus minimum: 49 − 29 = 20.

12 questions · Seed 50 · Age guidance, not curriculum certification