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: 25, 28, 36, 37, 39.
25 · 28 · 36 · 37 · Median & range of data sets
2. Find the range of the ordered data set: 15, 17, 23, 28, 32.
15 · 17 · 23 · 28 · Median & range of data sets
3. Find the range of the ordered data set: 4, 5, 10, 17, 19.
4 · 5 · 10 · 17 · Median & range of data sets
4. Find the range of the ordered data set: 11, 13, 14, 19, 23.
11 · 13 · 14 · 19 · Median & range of data sets
5. Find the median of the ordered data set: 15, 21, 23, 31, 38.
15 · 21 · 23 · 31 · Median & range of data sets
6. Find the median of the ordered data set: 29, 33, 40, 46, 51.
29 · 33 · 40 · 46 · Median & range of data sets
7. Find the median of the ordered data set: 15, 17, 20, 25, 31.
15 · 17 · 20 · 25 · Median & range of data sets
8. Find the median of the ordered data set: 2, 3, 11, 17, 22.
2 · 3 · 11 · 17 · Median & range of data sets
9. Find the range of the ordered data set: 3, 8, 11, 15, 16.
3 · 8 · 11 · 15 · Median & range of data sets
10. Find the median of the ordered data set: 5, 6, 14, 18, 24.
5 · 6 · 14 · 18 · Median & range of data sets
11. Find the median of the ordered data set: 23, 24, 31, 39, 45.
23 · 24 · 31 · 39 · Median & range of data sets
12. Find the median of the ordered data set: 9, 17, 19, 21, 29.
9 · 17 · 19 · 21 · Median & range of data sets

12 questions · Seed 48 · 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: 25, 28, 36, 37, 39.
36
The middle (3rd) value of the 5 ordered numbers is 36.
2. Find the range of the ordered data set: 15, 17, 23, 28, 32.
17
The range is maximum minus minimum: 32 − 15 = 17.
3. Find the range of the ordered data set: 4, 5, 10, 17, 19.
15
The range is maximum minus minimum: 19 − 4 = 15.
4. Find the range of the ordered data set: 11, 13, 14, 19, 23.
12
The range is maximum minus minimum: 23 − 11 = 12.
5. Find the median of the ordered data set: 15, 21, 23, 31, 38.
23
The middle (3rd) value of the 5 ordered numbers is 23.
6. Find the median of the ordered data set: 29, 33, 40, 46, 51.
40
The middle (3rd) value of the 5 ordered numbers is 40.
7. Find the median of the ordered data set: 15, 17, 20, 25, 31.
20
The middle (3rd) value of the 5 ordered numbers is 20.
8. Find the median of the ordered data set: 2, 3, 11, 17, 22.
11
The middle (3rd) value of the 5 ordered numbers is 11.
9. Find the range of the ordered data set: 3, 8, 11, 15, 16.
13
The range is maximum minus minimum: 16 − 3 = 13.
10. Find the median of the ordered data set: 5, 6, 14, 18, 24.
14
The middle (3rd) value of the 5 ordered numbers is 14.
11. Find the median of the ordered data set: 23, 24, 31, 39, 45.
31
The middle (3rd) value of the 5 ordered numbers is 31.
12. Find the median of the ordered data set: 9, 17, 19, 21, 29.
19
The middle (3rd) value of the 5 ordered numbers is 19.

12 questions · Seed 48 · 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: 25, 28, 36, 37, 39.
25 · 28 · 36 · 37 · Median & range of data sets
2. Find the range of the ordered data set: 15, 17, 23, 28, 32.
15 · 17 · 23 · 28 · Median & range of data sets
3. Find the range of the ordered data set: 4, 5, 10, 17, 19.
4 · 5 · 10 · 17 · Median & range of data sets
4. Find the range of the ordered data set: 11, 13, 14, 19, 23.
11 · 13 · 14 · 19 · Median & range of data sets
5. Find the median of the ordered data set: 15, 21, 23, 31, 38.
15 · 21 · 23 · 31 · Median & range of data sets
6. Find the median of the ordered data set: 29, 33, 40, 46, 51.
29 · 33 · 40 · 46 · Median & range of data sets
7. Find the median of the ordered data set: 15, 17, 20, 25, 31.
15 · 17 · 20 · 25 · Median & range of data sets
8. Find the median of the ordered data set: 2, 3, 11, 17, 22.
2 · 3 · 11 · 17 · Median & range of data sets
9. Find the range of the ordered data set: 3, 8, 11, 15, 16.
3 · 8 · 11 · 15 · Median & range of data sets
10. Find the median of the ordered data set: 5, 6, 14, 18, 24.
5 · 6 · 14 · 18 · Median & range of data sets
11. Find the median of the ordered data set: 23, 24, 31, 39, 45.
23 · 24 · 31 · 39 · Median & range of data sets
12. Find the median of the ordered data set: 9, 17, 19, 21, 29.
9 · 17 · 19 · 21 · Median & range of data sets

12 questions · Seed 48 · 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: 25, 28, 36, 37, 39.
36
The middle (3rd) value of the 5 ordered numbers is 36.
2. Find the range of the ordered data set: 15, 17, 23, 28, 32.
17
The range is maximum minus minimum: 32 − 15 = 17.
3. Find the range of the ordered data set: 4, 5, 10, 17, 19.
15
The range is maximum minus minimum: 19 − 4 = 15.
4. Find the range of the ordered data set: 11, 13, 14, 19, 23.
12
The range is maximum minus minimum: 23 − 11 = 12.
5. Find the median of the ordered data set: 15, 21, 23, 31, 38.
23
The middle (3rd) value of the 5 ordered numbers is 23.
6. Find the median of the ordered data set: 29, 33, 40, 46, 51.
40
The middle (3rd) value of the 5 ordered numbers is 40.
7. Find the median of the ordered data set: 15, 17, 20, 25, 31.
20
The middle (3rd) value of the 5 ordered numbers is 20.
8. Find the median of the ordered data set: 2, 3, 11, 17, 22.
11
The middle (3rd) value of the 5 ordered numbers is 11.
9. Find the range of the ordered data set: 3, 8, 11, 15, 16.
13
The range is maximum minus minimum: 16 − 3 = 13.
10. Find the median of the ordered data set: 5, 6, 14, 18, 24.
14
The middle (3rd) value of the 5 ordered numbers is 14.
11. Find the median of the ordered data set: 23, 24, 31, 39, 45.
31
The middle (3rd) value of the 5 ordered numbers is 31.
12. Find the median of the ordered data set: 9, 17, 19, 21, 29.
19
The middle (3rd) value of the 5 ordered numbers is 19.

12 questions · Seed 48 · Age guidance, not curriculum certification