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, 12, 15, 21, 27.
5 · 12 · 15 · 21 · Median & range of data sets
2. Find the range of the ordered data set: 17, 19, 22, 23, 29.
17 · 19 · 22 · 23 · Median & range of data sets
3. Find the range of the ordered data set: 3, 4, 9, 10, 12.
3 · 4 · 9 · 10 · Median & range of data sets
4. Find the median of the ordered data set: 9, 14, 20, 25, 33.
9 · 14 · 20 · 25 · Median & range of data sets
5. Find the range of the ordered data set: 22, 29, 31, 36, 43.
22 · 29 · 31 · 36 · Median & range of data sets
6. Find the median of the ordered data set: 13, 16, 17, 24, 32.
13 · 16 · 17 · 24 · Median & range of data sets
7. Find the median of the ordered data set: 4, 6, 13, 15, 17.
4 · 6 · 13 · 15 · Median & range of data sets
8. Find the range of the ordered data set: 26, 29, 37, 41, 45.
26 · 29 · 37 · 41 · Median & range of data sets
9. Find the median of the ordered data set: 4, 7, 15, 21, 29.
4 · 7 · 15 · 21 · Median & range of data sets
10. Find the range of the ordered data set: 30, 33, 39, 41, 44.
30 · 33 · 39 · 41 · Median & range of data sets
11. Find the range of the ordered data set: 21, 29, 36, 42, 49.
21 · 29 · 36 · 42 · Median & range of data sets
12. Find the range of the ordered data set: 16, 21, 23, 26, 30.
16 · 21 · 23 · 26 · Median & range of data sets

12 questions · Seed 51 · 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, 12, 15, 21, 27.
15
The middle (3rd) value of the 5 ordered numbers is 15.
2. Find the range of the ordered data set: 17, 19, 22, 23, 29.
12
The range is maximum minus minimum: 29 − 17 = 12.
3. Find the range of the ordered data set: 3, 4, 9, 10, 12.
9
The range is maximum minus minimum: 12 − 3 = 9.
4. Find the median of the ordered data set: 9, 14, 20, 25, 33.
20
The middle (3rd) value of the 5 ordered numbers is 20.
5. Find the range of the ordered data set: 22, 29, 31, 36, 43.
21
The range is maximum minus minimum: 43 − 22 = 21.
6. Find the median of the ordered data set: 13, 16, 17, 24, 32.
17
The middle (3rd) value of the 5 ordered numbers is 17.
7. Find the median of the ordered data set: 4, 6, 13, 15, 17.
13
The middle (3rd) value of the 5 ordered numbers is 13.
8. Find the range of the ordered data set: 26, 29, 37, 41, 45.
19
The range is maximum minus minimum: 45 − 26 = 19.
9. Find the median of the ordered data set: 4, 7, 15, 21, 29.
15
The middle (3rd) value of the 5 ordered numbers is 15.
10. Find the range of the ordered data set: 30, 33, 39, 41, 44.
14
The range is maximum minus minimum: 44 − 30 = 14.
11. Find the range of the ordered data set: 21, 29, 36, 42, 49.
28
The range is maximum minus minimum: 49 − 21 = 28.
12. Find the range of the ordered data set: 16, 21, 23, 26, 30.
14
The range is maximum minus minimum: 30 − 16 = 14.

12 questions · Seed 51 · 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, 12, 15, 21, 27.
5 · 12 · 15 · 21 · Median & range of data sets
2. Find the range of the ordered data set: 17, 19, 22, 23, 29.
17 · 19 · 22 · 23 · Median & range of data sets
3. Find the range of the ordered data set: 3, 4, 9, 10, 12.
3 · 4 · 9 · 10 · Median & range of data sets
4. Find the median of the ordered data set: 9, 14, 20, 25, 33.
9 · 14 · 20 · 25 · Median & range of data sets
5. Find the range of the ordered data set: 22, 29, 31, 36, 43.
22 · 29 · 31 · 36 · Median & range of data sets
6. Find the median of the ordered data set: 13, 16, 17, 24, 32.
13 · 16 · 17 · 24 · Median & range of data sets
7. Find the median of the ordered data set: 4, 6, 13, 15, 17.
4 · 6 · 13 · 15 · Median & range of data sets
8. Find the range of the ordered data set: 26, 29, 37, 41, 45.
26 · 29 · 37 · 41 · Median & range of data sets
9. Find the median of the ordered data set: 4, 7, 15, 21, 29.
4 · 7 · 15 · 21 · Median & range of data sets
10. Find the range of the ordered data set: 30, 33, 39, 41, 44.
30 · 33 · 39 · 41 · Median & range of data sets
11. Find the range of the ordered data set: 21, 29, 36, 42, 49.
21 · 29 · 36 · 42 · Median & range of data sets
12. Find the range of the ordered data set: 16, 21, 23, 26, 30.
16 · 21 · 23 · 26 · Median & range of data sets

12 questions · Seed 51 · 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, 12, 15, 21, 27.
15
The middle (3rd) value of the 5 ordered numbers is 15.
2. Find the range of the ordered data set: 17, 19, 22, 23, 29.
12
The range is maximum minus minimum: 29 − 17 = 12.
3. Find the range of the ordered data set: 3, 4, 9, 10, 12.
9
The range is maximum minus minimum: 12 − 3 = 9.
4. Find the median of the ordered data set: 9, 14, 20, 25, 33.
20
The middle (3rd) value of the 5 ordered numbers is 20.
5. Find the range of the ordered data set: 22, 29, 31, 36, 43.
21
The range is maximum minus minimum: 43 − 22 = 21.
6. Find the median of the ordered data set: 13, 16, 17, 24, 32.
17
The middle (3rd) value of the 5 ordered numbers is 17.
7. Find the median of the ordered data set: 4, 6, 13, 15, 17.
13
The middle (3rd) value of the 5 ordered numbers is 13.
8. Find the range of the ordered data set: 26, 29, 37, 41, 45.
19
The range is maximum minus minimum: 45 − 26 = 19.
9. Find the median of the ordered data set: 4, 7, 15, 21, 29.
15
The middle (3rd) value of the 5 ordered numbers is 15.
10. Find the range of the ordered data set: 30, 33, 39, 41, 44.
14
The range is maximum minus minimum: 44 − 30 = 14.
11. Find the range of the ordered data set: 21, 29, 36, 42, 49.
28
The range is maximum minus minimum: 49 − 21 = 28.
12. Find the range of the ordered data set: 16, 21, 23, 26, 30.
14
The range is maximum minus minimum: 30 − 16 = 14.

12 questions · Seed 51 · Age guidance, not curriculum certification