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 median of the ordered data set: 3, 6, 14, 21, 25.
3 · 6 · 14 · 21 · Median & range of data sets
2. Find the range of the ordered data set: 16, 19, 27, 29, 32.
16 · 19 · 27 · 29 · Median & range of data sets
3. Find the range of the ordered data set: 18, 24, 30, 31, 33.
18 · 24 · 30 · 31 · Median & range of data sets
4. Find the range of the ordered data set: 21, 28, 30, 35, 42.
21 · 28 · 30 · 35 · Median & range of data sets
5. Find the range of the ordered data set: 24, 28, 31, 36, 40.
24 · 28 · 31 · 36 · Median & range of data sets
6. Find the median of the ordered data set: 6, 7, 12, 19, 21.
6 · 7 · 12 · 19 · Median & range of data sets
7. Find the median of the ordered data set: 27, 30, 31, 34, 38.
27 · 30 · 31 · 34 · Median & range of data sets
8. Find the range of the ordered data set: 20, 27, 33, 40, 43.
20 · 27 · 33 · 40 · Median & range of data sets
9. Find the median of the ordered data set: 30, 31, 34, 37, 41.
30 · 31 · 34 · 37 · Median & range of data sets
10. Find the range of the ordered data set: 27, 29, 37, 44, 48.
27 · 29 · 37 · 44 · Median & range of data sets
11. Find the range of the ordered data set: 29, 33, 35, 40, 48.
29 · 33 · 35 · 40 · Median & range of data sets
12. Find the range of the ordered data set: 10, 12, 20, 23, 31.
10 · 12 · 20 · 23 · Median & range of data sets

12 questions · Seed 47 · Age guidance, not curriculum certification

View the answer key

Worksheet StudioAnswer key · Ages 13-15

Answers and reasoning. Review before teaching.

1. Find the median of the ordered data set: 3, 6, 14, 21, 25.
14
The middle (3rd) value of the 5 ordered numbers is 14.
2. Find the range of the ordered data set: 16, 19, 27, 29, 32.
16
The range is maximum minus minimum: 32 − 16 = 16.
3. Find the range of the ordered data set: 18, 24, 30, 31, 33.
15
The range is maximum minus minimum: 33 − 18 = 15.
4. Find the range of the ordered data set: 21, 28, 30, 35, 42.
21
The range is maximum minus minimum: 42 − 21 = 21.
5. Find the range of the ordered data set: 24, 28, 31, 36, 40.
16
The range is maximum minus minimum: 40 − 24 = 16.
6. Find the median of the ordered data set: 6, 7, 12, 19, 21.
12
The middle (3rd) value of the 5 ordered numbers is 12.
7. Find the median of the ordered data set: 27, 30, 31, 34, 38.
31
The middle (3rd) value of the 5 ordered numbers is 31.
8. Find the range of the ordered data set: 20, 27, 33, 40, 43.
23
The range is maximum minus minimum: 43 − 20 = 23.
9. Find the median of the ordered data set: 30, 31, 34, 37, 41.
34
The middle (3rd) value of the 5 ordered numbers is 34.
10. Find the range of the ordered data set: 27, 29, 37, 44, 48.
21
The range is maximum minus minimum: 48 − 27 = 21.
11. Find the range of the ordered data set: 29, 33, 35, 40, 48.
19
The range is maximum minus minimum: 48 − 29 = 19.
12. Find the range of the ordered data set: 10, 12, 20, 23, 31.
21
The range is maximum minus minimum: 31 − 10 = 21.

12 questions · Seed 47 · Age guidance, not curriculum certification

Worksheet StudioPractice pack · Ages 13-15

Take your time. Show your thinking.

1. Find the median of the ordered data set: 3, 6, 14, 21, 25.
3 · 6 · 14 · 21 · Median & range of data sets
2. Find the range of the ordered data set: 16, 19, 27, 29, 32.
16 · 19 · 27 · 29 · Median & range of data sets
3. Find the range of the ordered data set: 18, 24, 30, 31, 33.
18 · 24 · 30 · 31 · Median & range of data sets
4. Find the range of the ordered data set: 21, 28, 30, 35, 42.
21 · 28 · 30 · 35 · Median & range of data sets
5. Find the range of the ordered data set: 24, 28, 31, 36, 40.
24 · 28 · 31 · 36 · Median & range of data sets
6. Find the median of the ordered data set: 6, 7, 12, 19, 21.
6 · 7 · 12 · 19 · Median & range of data sets
7. Find the median of the ordered data set: 27, 30, 31, 34, 38.
27 · 30 · 31 · 34 · Median & range of data sets
8. Find the range of the ordered data set: 20, 27, 33, 40, 43.
20 · 27 · 33 · 40 · Median & range of data sets
9. Find the median of the ordered data set: 30, 31, 34, 37, 41.
30 · 31 · 34 · 37 · Median & range of data sets
10. Find the range of the ordered data set: 27, 29, 37, 44, 48.
27 · 29 · 37 · 44 · Median & range of data sets
11. Find the range of the ordered data set: 29, 33, 35, 40, 48.
29 · 33 · 35 · 40 · Median & range of data sets
12. Find the range of the ordered data set: 10, 12, 20, 23, 31.
10 · 12 · 20 · 23 · Median & range of data sets

12 questions · Seed 47 · Age guidance, not curriculum certification

Worksheet StudioAnswer key · Ages 13-15

Answers and reasoning. Review before teaching.

1. Find the median of the ordered data set: 3, 6, 14, 21, 25.
14
The middle (3rd) value of the 5 ordered numbers is 14.
2. Find the range of the ordered data set: 16, 19, 27, 29, 32.
16
The range is maximum minus minimum: 32 − 16 = 16.
3. Find the range of the ordered data set: 18, 24, 30, 31, 33.
15
The range is maximum minus minimum: 33 − 18 = 15.
4. Find the range of the ordered data set: 21, 28, 30, 35, 42.
21
The range is maximum minus minimum: 42 − 21 = 21.
5. Find the range of the ordered data set: 24, 28, 31, 36, 40.
16
The range is maximum minus minimum: 40 − 24 = 16.
6. Find the median of the ordered data set: 6, 7, 12, 19, 21.
12
The middle (3rd) value of the 5 ordered numbers is 12.
7. Find the median of the ordered data set: 27, 30, 31, 34, 38.
31
The middle (3rd) value of the 5 ordered numbers is 31.
8. Find the range of the ordered data set: 20, 27, 33, 40, 43.
23
The range is maximum minus minimum: 43 − 20 = 23.
9. Find the median of the ordered data set: 30, 31, 34, 37, 41.
34
The middle (3rd) value of the 5 ordered numbers is 34.
10. Find the range of the ordered data set: 27, 29, 37, 44, 48.
21
The range is maximum minus minimum: 48 − 27 = 21.
11. Find the range of the ordered data set: 29, 33, 35, 40, 48.
19
The range is maximum minus minimum: 48 − 29 = 19.
12. Find the range of the ordered data set: 10, 12, 20, 23, 31.
21
The range is maximum minus minimum: 31 − 10 = 21.

12 questions · Seed 47 · Age guidance, not curriculum certification