Mean Worksheets: Finding Average - Free Printable

It looks like you've uploaded an image containing a math worksheet titled "Mean", with several problems related to calculating the mean (average) of data sets. Since I can't view images directly, I’ll help you solve these problems based on the text you provided.

Let me go through each problem one by one and solve them step-by-step.

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Problem 1:

> In a college football game, a team scores the following points in each quarter: 7, 14, 3, and 10. What is the mean number of points scored per quarter?

Step 1: Add all the points:
$$
7 + 14 + 3 + 10 = 34
$$

Step 2: Divide by the number of quarters (4):
$$
\text{Mean} = \frac{34}{4} = 8.5
$$

✔ Answer: The mean number of points scored per quarter is 8.5.

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Problem 2:

> Every day, Sarah walks her dog for 25 minutes. On Monday, she walked for 25 minutes; Tuesday, 20 minutes; Wednesday, 30 minutes; Thursday, 25 minutes; Friday, 20 minutes. What is the mean number of minutes she walked her dog per day?

Step 1: Add all the minutes:
$$
25 + 20 + 30 + 25 + 20 = 120
$$

Step 2: Divide by the number of days (5):
$$
\text{Mean} = \frac{120}{5} = 24
$$

✔ Answer: The mean walking time is 24 minutes per day.

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Problem 3:

> Mr. Wilson, a math teacher, recorded the following test scores for each student in his class: 85, 92, 78, 88, 95, 80, 85, 90, 82, 76, 88, 91, 84, 87, 93. What is the mean of the test scores?

Step 1: Add all the scores:

Let’s add them in groups:

- 85 + 92 = 177
- 78 + 88 = 166
- 95 + 80 = 175
- 85 + 90 = 175
- 82 + 76 = 158
- 88 + 91 = 179
- 84 + 87 = 171
- 93 = 93

Now sum all these:

$$
177 + 166 = 343 \\
343 + 175 = 518 \\
518 + 175 = 693 \\
693 + 158 = 851 \\
851 + 179 = 1030 \\
1030 + 171 = 1201 \\
1201 + 93 = 1294
$$

Total sum = 1294

Number of students = 15

Step 2: Calculate the mean:
$$
\text{Mean} = \frac{1294}{15} \approx 86.27
$$

✔ Answer: The mean test score is approximately 86.27.

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Problem 4:

> Little brother has a collection of toy cars. The heights of the cars are: 3 inches, 4 inches, 5 inches, 4 inches, 3 inches, 4 inches, 6 inches. What is the mean height of the toy cars?

Step 1: Add all the heights:
$$
3 + 4 + 5 + 4 + 3 + 4 + 6 = 29
$$

Step 2: Divide by number of cars (7):
$$
\text{Mean} = \frac{29}{7} \approx 4.14
$$

✔ Answer: The mean height is approximately 4.14 inches.

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Problem 5:

> Mike goes to the gym every day. He records the number of minutes he spends there: Monday – 45 min, Tuesday – 50 min, Wednesday – 40 min, Thursday – 55 min, Friday – 50 min. What is the mean number of minutes he spends at the gym per day?

Step 1: Add the minutes:
$$
45 + 50 + 40 + 55 + 50 = 240
$$

Step 2: Divide by 5 days:
$$
\text{Mean} = \frac{240}{5} = 48
$$

✔ Answer: The mean time spent at the gym is 48 minutes per day.

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✔ Summary of Answers:

| Problem | Answer |
|--------|--------|
| 1 | 8.5 points per quarter |
| 2 | 24 minutes per day |
| 3 | ~86.27 |
| 4 | ~4.14 inches |
| 5 | 48 minutes per day |

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