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Part 1

The numbers of words defined on randomly selected pages from a dictionary are shown below. Find the​ mean, median, and mode of the listed numbers.

5353  

6868  

7070  

6767  

7676  

3838  

3030  

6161  

4242  

3535  

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Part 1

What is the​ mean? Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice.

A.

The mean is 

enter your response here. 

​(Round to one decimal place as​ needed.)

B.

There is no mean.

To find the mean of the listed numbers, follow these steps:

1. **List the numbers**: 
   - 53, 68, 70, 67, 76, 38, 30, 61, 42, 35

2. **Add all the numbers together**: 
   \[
   53 + 68 + 70 + 67 + 76 + 38 + 30 + 61 + 42 + 35 = 540
   \]

3. **Count the total number of values**:
   - There are 10 numbers.

4. **Calculate the mean**:
   \[
   \text{Mean} = \frac{\text{Sum of the numbers}}{\text{Number of values}} = \frac{540}{10} = 54.0
   \]

So, the mean is **54.0**.

### Answer:
A. The mean is **54.0** (rounded to one decimal place).

Would you like to explore the median and mode, or have any other questions?

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Here are 5 questions to deepen your understanding:
1. What is the formula for finding the median of a data set?
2. How does the mode differ from the mean and median?
3. Why might there be no mode in a data set?
4. How does the size of a sample affect the mean?
5. What are some situations where the median is more useful than the mean?

**Tip:** Always arrange numbers in order when calculating the median!

The numbers of words defined on randomly selected pages from a dictionary are shown below. Find the mean, median, and mode of the listed numbers. 53, 68, 70, 67, 76, 38, 30, 61, 42, 35. What is the mean? (Round to one decimal place as needed.)

Find the mean, median, and mode of a set of numbers from a dictionary page sample. This problem explains how to calculate statistical measures like the mean, median, and mode using real-world data. Suitable for students in Grades 6-8.

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