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: 7, 12, 17, 18, 19.
7 · 12 · 17 · 18 · Median & range of data sets
2. Find the range of the ordered data set: 30, 33, 34, 41, 42.
30 · 33 · 34 · 41 · Median & range of data sets
3. Find the range of the ordered data set: 27, 33, 35, 37, 41.
27 · 33 · 35 · 37 · Median & range of data sets
4. Find the range of the ordered data set: 16, 22, 24, 25, 32.
16 · 22 · 24 · 25 · Median & range of data sets
5. Find the median of the ordered data set: 18, 25, 28, 30, 38.
18 · 25 · 28 · 30 · Median & range of data sets
6. Find the range of the ordered data set: 20, 27, 32, 37, 41.
20 · 27 · 32 · 37 · Median & range of data sets
7. Find the range of the ordered data set: 3, 8, 16, 21, 27.
3 · 8 · 16 · 21 · Median & range of data sets
8. Find the median of the ordered data set: 27, 31, 34, 36, 39.
27 · 31 · 34 · 36 · Median & range of data sets
9. Find the range of the ordered data set: 30, 36, 41, 43, 45.
30 · 36 · 41 · 43 · Median & range of data sets
10. Find the median of the ordered data set: 10, 16, 20, 26, 27.
10 · 16 · 20 · 26 · Median & range of data sets
11. Find the range of the ordered data set: 20, 26, 30, 36, 39.
20 · 26 · 30 · 36 · Median & range of data sets
12. Find the range of the ordered data set: 29, 36, 40, 43, 46.
29 · 36 · 40 · 43 · Median & range of data sets

12 questions · Seed 53 · 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: 7, 12, 17, 18, 19.
17
The middle (3rd) value of the 5 ordered numbers is 17.
2. Find the range of the ordered data set: 30, 33, 34, 41, 42.
12
The range is maximum minus minimum: 42 − 30 = 12.
3. Find the range of the ordered data set: 27, 33, 35, 37, 41.
14
The range is maximum minus minimum: 41 − 27 = 14.
4. Find the range of the ordered data set: 16, 22, 24, 25, 32.
16
The range is maximum minus minimum: 32 − 16 = 16.
5. Find the median of the ordered data set: 18, 25, 28, 30, 38.
28
The middle (3rd) value of the 5 ordered numbers is 28.
6. Find the range of the ordered data set: 20, 27, 32, 37, 41.
21
The range is maximum minus minimum: 41 − 20 = 21.
7. Find the range of the ordered data set: 3, 8, 16, 21, 27.
24
The range is maximum minus minimum: 27 − 3 = 24.
8. Find the median of the ordered data set: 27, 31, 34, 36, 39.
34
The middle (3rd) value of the 5 ordered numbers is 34.
9. Find the range of the ordered data set: 30, 36, 41, 43, 45.
15
The range is maximum minus minimum: 45 − 30 = 15.
10. Find the median of the ordered data set: 10, 16, 20, 26, 27.
20
The middle (3rd) value of the 5 ordered numbers is 20.
11. Find the range of the ordered data set: 20, 26, 30, 36, 39.
19
The range is maximum minus minimum: 39 − 20 = 19.
12. Find the range of the ordered data set: 29, 36, 40, 43, 46.
17
The range is maximum minus minimum: 46 − 29 = 17.

12 questions · Seed 53 · 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: 7, 12, 17, 18, 19.
7 · 12 · 17 · 18 · Median & range of data sets
2. Find the range of the ordered data set: 30, 33, 34, 41, 42.
30 · 33 · 34 · 41 · Median & range of data sets
3. Find the range of the ordered data set: 27, 33, 35, 37, 41.
27 · 33 · 35 · 37 · Median & range of data sets
4. Find the range of the ordered data set: 16, 22, 24, 25, 32.
16 · 22 · 24 · 25 · Median & range of data sets
5. Find the median of the ordered data set: 18, 25, 28, 30, 38.
18 · 25 · 28 · 30 · Median & range of data sets
6. Find the range of the ordered data set: 20, 27, 32, 37, 41.
20 · 27 · 32 · 37 · Median & range of data sets
7. Find the range of the ordered data set: 3, 8, 16, 21, 27.
3 · 8 · 16 · 21 · Median & range of data sets
8. Find the median of the ordered data set: 27, 31, 34, 36, 39.
27 · 31 · 34 · 36 · Median & range of data sets
9. Find the range of the ordered data set: 30, 36, 41, 43, 45.
30 · 36 · 41 · 43 · Median & range of data sets
10. Find the median of the ordered data set: 10, 16, 20, 26, 27.
10 · 16 · 20 · 26 · Median & range of data sets
11. Find the range of the ordered data set: 20, 26, 30, 36, 39.
20 · 26 · 30 · 36 · Median & range of data sets
12. Find the range of the ordered data set: 29, 36, 40, 43, 46.
29 · 36 · 40 · 43 · Median & range of data sets

12 questions · Seed 53 · 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: 7, 12, 17, 18, 19.
17
The middle (3rd) value of the 5 ordered numbers is 17.
2. Find the range of the ordered data set: 30, 33, 34, 41, 42.
12
The range is maximum minus minimum: 42 − 30 = 12.
3. Find the range of the ordered data set: 27, 33, 35, 37, 41.
14
The range is maximum minus minimum: 41 − 27 = 14.
4. Find the range of the ordered data set: 16, 22, 24, 25, 32.
16
The range is maximum minus minimum: 32 − 16 = 16.
5. Find the median of the ordered data set: 18, 25, 28, 30, 38.
28
The middle (3rd) value of the 5 ordered numbers is 28.
6. Find the range of the ordered data set: 20, 27, 32, 37, 41.
21
The range is maximum minus minimum: 41 − 20 = 21.
7. Find the range of the ordered data set: 3, 8, 16, 21, 27.
24
The range is maximum minus minimum: 27 − 3 = 24.
8. Find the median of the ordered data set: 27, 31, 34, 36, 39.
34
The middle (3rd) value of the 5 ordered numbers is 34.
9. Find the range of the ordered data set: 30, 36, 41, 43, 45.
15
The range is maximum minus minimum: 45 − 30 = 15.
10. Find the median of the ordered data set: 10, 16, 20, 26, 27.
20
The middle (3rd) value of the 5 ordered numbers is 20.
11. Find the range of the ordered data set: 20, 26, 30, 36, 39.
19
The range is maximum minus minimum: 39 − 20 = 19.
12. Find the range of the ordered data set: 29, 36, 40, 43, 46.
17
The range is maximum minus minimum: 46 − 29 = 17.

12 questions · Seed 53 · Age guidance, not curriculum certification