Mean Median Mode Range Worksheet - Free Printable

Let’s solve this step by step.

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Part 1: Athletics Team Times (in minutes)

We are given these times:

- Olivia: 55
- Amelia: 60
- Harry: 47
- Emily: 56
- Mia: 55
- Isla: 49
- Tom: 53
- Jack: 55
- Noah: 56

That’s 9 runners total.

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Question 1: Put the times in order, starting with the quickest.

Quickest = smallest number.

List all numbers:
55, 60, 47, 56, 55, 49, 53, 55, 56

Now sort them from smallest to largest:

Start with 47 → then 49 → then 53 → then 55, 55, 55 → then 56, 56 → then 60

So ordered list:

47, 49, 53, 55, 55, 55, 56, 56, 60

Fill in the boxes:

min | min | min | min | min | min | min | min | min
---|---|---|---|---|---|---|---|---
47 | 49 | 53 | 55 | 55 | 55 | 56 | 56 | 60

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Question 2: What is the median of the times?

Median = middle value when sorted.

There are 9 values → middle is the 5th one.

Count:
1st: 47
2nd: 49
3rd: 53
4th: 55
5th: 55 ← MEDIAN
6th: 55
7th: 56
8th: 56
9th: 60

✔ Median = 55

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Question 3: What is the mode of the times?

Mode = most frequent value.

Look at how many times each appears:

- 47: once
- 49: once
- 53: once
- 55: three times ← MOST
- 56: two times
- 60: once

✔ Mode = 55

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Question 4: What is the range of the times?

Range = biggest – smallest

Biggest = 60
Smallest = 47
60 - 47 = 13

✔ Range = 13

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Question 5: What is the mean of the times?

Mean = average = sum of all values ÷ number of values

Add them up:

47 + 49 = 96
96 + 53 = 149
149 + 55 = 204
204 + 55 = 259
259 + 55 = 314
314 + 56 = 370
370 + 56 = 426
426 + 60 = 486

Total = 486
Number of values = 9

Mean = 486 ÷ 9 = ?

Let’s divide:

9 × 50 = 450
486 - 450 = 36
9 × 4 = 36
So 50 + 4 = 54

✔ Mean = 54

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Part 2: Cricket Scores

Scores:
56, 42, 12, 84, 111, 42, 76, 9, 99

Again, 9 scores.

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Question 6: What is the median score?

First, sort them:

Smallest to largest:

9, 12, 42, 42, 56, 76, 84, 99, 111

Middle value = 5th one → 56

✔ Median = 56

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Question 7: What is the mode of the scores?

Which number appears most?

- 9: once
- 12: once
- 42: twice ← MOST
- 56: once
- 76: once
- 84: once
- 99: once
- 111: once

✔ Mode = 42

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Question 8: What is the range of the scores?

Biggest – smallest = 111 - 9 = 102

✔ Range = 102

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Question 9: How many did he score altogether?

Add all scores:

Start adding:

9 + 12 = 21
21 + 42 = 63
63 + 42 = 105
105 + 56 = 161
161 + 76 = 237
237 + 84 = 321
321 + 99 = 420
420 + 111 = 531

Wait — let me double-check that addition.

Better way: group them.

(9 + 111) = 120
(12 + 99) = 111
(42 + 84) = 126
(42 + 76) = 118
Left: 56

Now add those:

120 + 111 = 231
231 + 126 = 357
357 + 118 = 475
475 + 56 = 531

✔ Total = 531

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Question 10: What is the mean of the scores?

Mean = total ÷ number of scores = 531 ÷ 9

Divide:

9 × 50 = 450
531 - 450 = 81
9 × 9 = 81
So 50 + 9 = 59

✔ Mean = 59

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Final Answer:

1. Ordered times: 47, 49, 53, 55, 55, 55, 56, 56, 60
2. Median time: 55
3. Mode time: 55
4. Range time: 13
5. Mean time: 54
6. Median score: 56
7. Mode score: 42
8. Range score: 102
9. Total score: 531
10. Mean score: 59