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: 5, 11, 12, 15, 20.
5 · 11 · 12 · 15 · Median & range of data sets
2. Find the range of the ordered data set: 21, 26, 28, 34, 37.
21 · 26 · 28 · 34 · Median & range of data sets
3. Find the median of the ordered data set: 22, 30, 35, 37, 39.
22 · 30 · 35 · 37 · Median & range of data sets
4. Find the range of the ordered data set: 8, 14, 16, 24, 28.
8 · 14 · 16 · 24 · Median & range of data sets
5. Find the median of the ordered data set: 12, 19, 22, 28, 29.
12 · 19 · 22 · 28 · Median & range of data sets
6. Find the median of the ordered data set: 20, 23, 28, 34, 37.
20 · 23 · 28 · 34 · Median & range of data sets
7. Find the range of the ordered data set: 16, 22, 28, 33, 34.
16 · 22 · 28 · 33 · Median & range of data sets
8. Find the range of the ordered data set: 26, 31, 39, 40, 46.
26 · 31 · 39 · 40 · Median & range of data sets
9. Find the median of the ordered data set: 30, 32, 35, 38, 43.
30 · 32 · 35 · 38 · Median & range of data sets
10. Find the median of the ordered data set: 29, 32, 33, 34, 38.
29 · 32 · 33 · 34 · Median & range of data sets
11. Find the median of the ordered data set: 27, 32, 36, 44, 45.
27 · 32 · 36 · 44 · Median & range of data sets
12. Find the median of the ordered data set: 27, 30, 34, 42, 47.
27 · 30 · 34 · 42 · Median & range of data sets

12 questions · Seed 43 · 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: 5, 11, 12, 15, 20.
12
The middle (3rd) value of the 5 ordered numbers is 12.
2. Find the range of the ordered data set: 21, 26, 28, 34, 37.
16
The range is maximum minus minimum: 37 − 21 = 16.
3. Find the median of the ordered data set: 22, 30, 35, 37, 39.
35
The middle (3rd) value of the 5 ordered numbers is 35.
4. Find the range of the ordered data set: 8, 14, 16, 24, 28.
20
The range is maximum minus minimum: 28 − 8 = 20.
5. Find the median of the ordered data set: 12, 19, 22, 28, 29.
22
The middle (3rd) value of the 5 ordered numbers is 22.
6. Find the median of the ordered data set: 20, 23, 28, 34, 37.
28
The middle (3rd) value of the 5 ordered numbers is 28.
7. Find the range of the ordered data set: 16, 22, 28, 33, 34.
18
The range is maximum minus minimum: 34 − 16 = 18.
8. Find the range of the ordered data set: 26, 31, 39, 40, 46.
20
The range is maximum minus minimum: 46 − 26 = 20.
9. Find the median of the ordered data set: 30, 32, 35, 38, 43.
35
The middle (3rd) value of the 5 ordered numbers is 35.
10. Find the median of the ordered data set: 29, 32, 33, 34, 38.
33
The middle (3rd) value of the 5 ordered numbers is 33.
11. Find the median of the ordered data set: 27, 32, 36, 44, 45.
36
The middle (3rd) value of the 5 ordered numbers is 36.
12. Find the median of the ordered data set: 27, 30, 34, 42, 47.
34
The middle (3rd) value of the 5 ordered numbers is 34.

12 questions · Seed 43 · 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: 5, 11, 12, 15, 20.
5 · 11 · 12 · 15 · Median & range of data sets
2. Find the range of the ordered data set: 21, 26, 28, 34, 37.
21 · 26 · 28 · 34 · Median & range of data sets
3. Find the median of the ordered data set: 22, 30, 35, 37, 39.
22 · 30 · 35 · 37 · Median & range of data sets
4. Find the range of the ordered data set: 8, 14, 16, 24, 28.
8 · 14 · 16 · 24 · Median & range of data sets
5. Find the median of the ordered data set: 12, 19, 22, 28, 29.
12 · 19 · 22 · 28 · Median & range of data sets
6. Find the median of the ordered data set: 20, 23, 28, 34, 37.
20 · 23 · 28 · 34 · Median & range of data sets
7. Find the range of the ordered data set: 16, 22, 28, 33, 34.
16 · 22 · 28 · 33 · Median & range of data sets
8. Find the range of the ordered data set: 26, 31, 39, 40, 46.
26 · 31 · 39 · 40 · Median & range of data sets
9. Find the median of the ordered data set: 30, 32, 35, 38, 43.
30 · 32 · 35 · 38 · Median & range of data sets
10. Find the median of the ordered data set: 29, 32, 33, 34, 38.
29 · 32 · 33 · 34 · Median & range of data sets
11. Find the median of the ordered data set: 27, 32, 36, 44, 45.
27 · 32 · 36 · 44 · Median & range of data sets
12. Find the median of the ordered data set: 27, 30, 34, 42, 47.
27 · 30 · 34 · 42 · Median & range of data sets

12 questions · Seed 43 · 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: 5, 11, 12, 15, 20.
12
The middle (3rd) value of the 5 ordered numbers is 12.
2. Find the range of the ordered data set: 21, 26, 28, 34, 37.
16
The range is maximum minus minimum: 37 − 21 = 16.
3. Find the median of the ordered data set: 22, 30, 35, 37, 39.
35
The middle (3rd) value of the 5 ordered numbers is 35.
4. Find the range of the ordered data set: 8, 14, 16, 24, 28.
20
The range is maximum minus minimum: 28 − 8 = 20.
5. Find the median of the ordered data set: 12, 19, 22, 28, 29.
22
The middle (3rd) value of the 5 ordered numbers is 22.
6. Find the median of the ordered data set: 20, 23, 28, 34, 37.
28
The middle (3rd) value of the 5 ordered numbers is 28.
7. Find the range of the ordered data set: 16, 22, 28, 33, 34.
18
The range is maximum minus minimum: 34 − 16 = 18.
8. Find the range of the ordered data set: 26, 31, 39, 40, 46.
20
The range is maximum minus minimum: 46 − 26 = 20.
9. Find the median of the ordered data set: 30, 32, 35, 38, 43.
35
The middle (3rd) value of the 5 ordered numbers is 35.
10. Find the median of the ordered data set: 29, 32, 33, 34, 38.
33
The middle (3rd) value of the 5 ordered numbers is 33.
11. Find the median of the ordered data set: 27, 32, 36, 44, 45.
36
The middle (3rd) value of the 5 ordered numbers is 36.
12. Find the median of the ordered data set: 27, 30, 34, 42, 47.
34
The middle (3rd) value of the 5 ordered numbers is 34.

12 questions · Seed 43 · Age guidance, not curriculum certification