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.

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Worksheet StudioPractice pack · Ages 13-15

Take your time. Show your thinking.

1. Find the range of the ordered data set: 3, 9, 12, 16, 21.
3 · 9 · 12 · 16 · Median & range of data sets
2. Find the median of the ordered data set: 17, 24, 27, 33, 40.
17 · 24 · 27 · 33 · Median & range of data sets
3. Find the median of the ordered data set: 5, 6, 9, 14, 17.
5 · 6 · 9 · 14 · Median & range of data sets
4. Find the median of the ordered data set: 12, 16, 19, 27, 34.
12 · 16 · 19 · 27 · Median & range of data sets
5. Find the median of the ordered data set: 30, 38, 41, 45, 51.
30 · 38 · 41 · 45 · Median & range of data sets
6. Find the median of the ordered data set: 13, 21, 26, 32, 37.
13 · 21 · 26 · 32 · Median & range of data sets
7. Find the range of the ordered data set: 3, 7, 11, 12, 15.
3 · 7 · 11 · 12 · Median & range of data sets
8. Find the median of the ordered data set: 14, 16, 19, 22, 27.
14 · 16 · 19 · 22 · Median & range of data sets
9. Find the range of the ordered data set: 9, 10, 11, 13, 15.
9 · 10 · 11 · 13 · Median & range of data sets
10. Find the range of the ordered data set: 4, 10, 13, 17, 23.
4 · 10 · 13 · 17 · Median & range of data sets
11. Find the median of the ordered data set: 21, 27, 34, 36, 43.
21 · 27 · 34 · 36 · Median & range of data sets
12. Find the range of the ordered data set: 28, 31, 38, 46, 49.
28 · 31 · 38 · 46 · Median & range of data sets

12 questions · Seed 104729 · 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: 3, 9, 12, 16, 21.
18
The range is maximum minus minimum: 21 − 3 = 18.
2. Find the median of the ordered data set: 17, 24, 27, 33, 40.
27
The middle (3rd) value of the 5 ordered numbers is 27.
3. Find the median of the ordered data set: 5, 6, 9, 14, 17.
9
The middle (3rd) value of the 5 ordered numbers is 9.
4. Find the median of the ordered data set: 12, 16, 19, 27, 34.
19
The middle (3rd) value of the 5 ordered numbers is 19.
5. Find the median of the ordered data set: 30, 38, 41, 45, 51.
41
The middle (3rd) value of the 5 ordered numbers is 41.
6. Find the median of the ordered data set: 13, 21, 26, 32, 37.
26
The middle (3rd) value of the 5 ordered numbers is 26.
7. Find the range of the ordered data set: 3, 7, 11, 12, 15.
12
The range is maximum minus minimum: 15 − 3 = 12.
8. Find the median of the ordered data set: 14, 16, 19, 22, 27.
19
The middle (3rd) value of the 5 ordered numbers is 19.
9. Find the range of the ordered data set: 9, 10, 11, 13, 15.
6
The range is maximum minus minimum: 15 − 9 = 6.
10. Find the range of the ordered data set: 4, 10, 13, 17, 23.
19
The range is maximum minus minimum: 23 − 4 = 19.
11. Find the median of the ordered data set: 21, 27, 34, 36, 43.
34
The middle (3rd) value of the 5 ordered numbers is 34.
12. Find the range of the ordered data set: 28, 31, 38, 46, 49.
21
The range is maximum minus minimum: 49 − 28 = 21.

12 questions · Seed 104729 · 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: 3, 9, 12, 16, 21.
3 · 9 · 12 · 16 · Median & range of data sets
2. Find the median of the ordered data set: 17, 24, 27, 33, 40.
17 · 24 · 27 · 33 · Median & range of data sets
3. Find the median of the ordered data set: 5, 6, 9, 14, 17.
5 · 6 · 9 · 14 · Median & range of data sets
4. Find the median of the ordered data set: 12, 16, 19, 27, 34.
12 · 16 · 19 · 27 · Median & range of data sets
5. Find the median of the ordered data set: 30, 38, 41, 45, 51.
30 · 38 · 41 · 45 · Median & range of data sets
6. Find the median of the ordered data set: 13, 21, 26, 32, 37.
13 · 21 · 26 · 32 · Median & range of data sets
7. Find the range of the ordered data set: 3, 7, 11, 12, 15.
3 · 7 · 11 · 12 · Median & range of data sets
8. Find the median of the ordered data set: 14, 16, 19, 22, 27.
14 · 16 · 19 · 22 · Median & range of data sets
9. Find the range of the ordered data set: 9, 10, 11, 13, 15.
9 · 10 · 11 · 13 · Median & range of data sets
10. Find the range of the ordered data set: 4, 10, 13, 17, 23.
4 · 10 · 13 · 17 · Median & range of data sets
11. Find the median of the ordered data set: 21, 27, 34, 36, 43.
21 · 27 · 34 · 36 · Median & range of data sets
12. Find the range of the ordered data set: 28, 31, 38, 46, 49.
28 · 31 · 38 · 46 · Median & range of data sets

12 questions · Seed 104729 · 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: 3, 9, 12, 16, 21.
18
The range is maximum minus minimum: 21 − 3 = 18.
2. Find the median of the ordered data set: 17, 24, 27, 33, 40.
27
The middle (3rd) value of the 5 ordered numbers is 27.
3. Find the median of the ordered data set: 5, 6, 9, 14, 17.
9
The middle (3rd) value of the 5 ordered numbers is 9.
4. Find the median of the ordered data set: 12, 16, 19, 27, 34.
19
The middle (3rd) value of the 5 ordered numbers is 19.
5. Find the median of the ordered data set: 30, 38, 41, 45, 51.
41
The middle (3rd) value of the 5 ordered numbers is 41.
6. Find the median of the ordered data set: 13, 21, 26, 32, 37.
26
The middle (3rd) value of the 5 ordered numbers is 26.
7. Find the range of the ordered data set: 3, 7, 11, 12, 15.
12
The range is maximum minus minimum: 15 − 3 = 12.
8. Find the median of the ordered data set: 14, 16, 19, 22, 27.
19
The middle (3rd) value of the 5 ordered numbers is 19.
9. Find the range of the ordered data set: 9, 10, 11, 13, 15.
6
The range is maximum minus minimum: 15 − 9 = 6.
10. Find the range of the ordered data set: 4, 10, 13, 17, 23.
19
The range is maximum minus minimum: 23 − 4 = 19.
11. Find the median of the ordered data set: 21, 27, 34, 36, 43.
34
The middle (3rd) value of the 5 ordered numbers is 34.
12. Find the range of the ordered data set: 28, 31, 38, 46, 49.
21
The range is maximum minus minimum: 49 − 28 = 21.

12 questions · Seed 104729 · Age guidance, not curriculum certification