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: 2, 3, 11, 14, 16.
2 · 3 · 11 · 14 · Median & range of data sets
2. Find the range of the ordered data set: 4, 6, 11, 13, 18.
4 · 6 · 11 · 13 · Median & range of data sets
3. Find the median of the ordered data set: 22, 26, 29, 34, 38.
22 · 26 · 29 · 34 · Median & range of data sets
4. Find the median of the ordered data set: 8, 10, 15, 21, 26.
8 · 10 · 15 · 21 · Median & range of data sets
5. Find the range of the ordered data set: 24, 25, 28, 30, 37.
24 · 25 · 28 · 30 · Median & range of data sets
6. Find the median of the ordered data set: 12, 16, 19, 26, 30.
12 · 16 · 19 · 26 · Median & range of data sets
7. Find the median of the ordered data set: 30, 34, 38, 45, 46.
30 · 34 · 38 · 45 · Median & range of data sets
8. Find the median of the ordered data set: 5, 7, 10, 17, 19.
5 · 7 · 10 · 17 · Median & range of data sets
9. Find the median of the ordered data set: 8, 16, 20, 28, 31.
8 · 16 · 20 · 28 · Median & range of data sets
10. Find the median of the ordered data set: 18, 20, 24, 32, 36.
18 · 20 · 24 · 32 · Median & range of data sets
11. Find the median of the ordered data set: 23, 29, 33, 35, 38.
23 · 29 · 33 · 35 · Median & range of data sets
12. Find the range of the ordered data set: 24, 29, 36, 37, 43.
24 · 29 · 36 · 37 · Median & range of data sets

12 questions · Seed 104730 · 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: 2, 3, 11, 14, 16.
11
The middle (3rd) value of the 5 ordered numbers is 11.
2. Find the range of the ordered data set: 4, 6, 11, 13, 18.
14
The range is maximum minus minimum: 18 − 4 = 14.
3. Find the median of the ordered data set: 22, 26, 29, 34, 38.
29
The middle (3rd) value of the 5 ordered numbers is 29.
4. Find the median of the ordered data set: 8, 10, 15, 21, 26.
15
The middle (3rd) value of the 5 ordered numbers is 15.
5. Find the range of the ordered data set: 24, 25, 28, 30, 37.
13
The range is maximum minus minimum: 37 − 24 = 13.
6. Find the median of the ordered data set: 12, 16, 19, 26, 30.
19
The middle (3rd) value of the 5 ordered numbers is 19.
7. Find the median of the ordered data set: 30, 34, 38, 45, 46.
38
The middle (3rd) value of the 5 ordered numbers is 38.
8. Find the median of the ordered data set: 5, 7, 10, 17, 19.
10
The middle (3rd) value of the 5 ordered numbers is 10.
9. Find the median of the ordered data set: 8, 16, 20, 28, 31.
20
The middle (3rd) value of the 5 ordered numbers is 20.
10. Find the median of the ordered data set: 18, 20, 24, 32, 36.
24
The middle (3rd) value of the 5 ordered numbers is 24.
11. Find the median of the ordered data set: 23, 29, 33, 35, 38.
33
The middle (3rd) value of the 5 ordered numbers is 33.
12. Find the range of the ordered data set: 24, 29, 36, 37, 43.
19
The range is maximum minus minimum: 43 − 24 = 19.

12 questions · Seed 104730 · 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: 2, 3, 11, 14, 16.
2 · 3 · 11 · 14 · Median & range of data sets
2. Find the range of the ordered data set: 4, 6, 11, 13, 18.
4 · 6 · 11 · 13 · Median & range of data sets
3. Find the median of the ordered data set: 22, 26, 29, 34, 38.
22 · 26 · 29 · 34 · Median & range of data sets
4. Find the median of the ordered data set: 8, 10, 15, 21, 26.
8 · 10 · 15 · 21 · Median & range of data sets
5. Find the range of the ordered data set: 24, 25, 28, 30, 37.
24 · 25 · 28 · 30 · Median & range of data sets
6. Find the median of the ordered data set: 12, 16, 19, 26, 30.
12 · 16 · 19 · 26 · Median & range of data sets
7. Find the median of the ordered data set: 30, 34, 38, 45, 46.
30 · 34 · 38 · 45 · Median & range of data sets
8. Find the median of the ordered data set: 5, 7, 10, 17, 19.
5 · 7 · 10 · 17 · Median & range of data sets
9. Find the median of the ordered data set: 8, 16, 20, 28, 31.
8 · 16 · 20 · 28 · Median & range of data sets
10. Find the median of the ordered data set: 18, 20, 24, 32, 36.
18 · 20 · 24 · 32 · Median & range of data sets
11. Find the median of the ordered data set: 23, 29, 33, 35, 38.
23 · 29 · 33 · 35 · Median & range of data sets
12. Find the range of the ordered data set: 24, 29, 36, 37, 43.
24 · 29 · 36 · 37 · Median & range of data sets

12 questions · Seed 104730 · 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: 2, 3, 11, 14, 16.
11
The middle (3rd) value of the 5 ordered numbers is 11.
2. Find the range of the ordered data set: 4, 6, 11, 13, 18.
14
The range is maximum minus minimum: 18 − 4 = 14.
3. Find the median of the ordered data set: 22, 26, 29, 34, 38.
29
The middle (3rd) value of the 5 ordered numbers is 29.
4. Find the median of the ordered data set: 8, 10, 15, 21, 26.
15
The middle (3rd) value of the 5 ordered numbers is 15.
5. Find the range of the ordered data set: 24, 25, 28, 30, 37.
13
The range is maximum minus minimum: 37 − 24 = 13.
6. Find the median of the ordered data set: 12, 16, 19, 26, 30.
19
The middle (3rd) value of the 5 ordered numbers is 19.
7. Find the median of the ordered data set: 30, 34, 38, 45, 46.
38
The middle (3rd) value of the 5 ordered numbers is 38.
8. Find the median of the ordered data set: 5, 7, 10, 17, 19.
10
The middle (3rd) value of the 5 ordered numbers is 10.
9. Find the median of the ordered data set: 8, 16, 20, 28, 31.
20
The middle (3rd) value of the 5 ordered numbers is 20.
10. Find the median of the ordered data set: 18, 20, 24, 32, 36.
24
The middle (3rd) value of the 5 ordered numbers is 24.
11. Find the median of the ordered data set: 23, 29, 33, 35, 38.
33
The middle (3rd) value of the 5 ordered numbers is 33.
12. Find the range of the ordered data set: 24, 29, 36, 37, 43.
19
The range is maximum minus minimum: 43 − 24 = 19.

12 questions · Seed 104730 · Age guidance, not curriculum certification