Which statement is true for the given data of 7, 7, 9, 10, 17.

*
1 point
a. mean = median
b. median = mode
c. mean > mode
d. mean < mode

Let's calculate the mean, median, and mode for the given data set: 7, 7, 9, 10, 17.

1. **Mean**: The mean is calculated by adding all the numbers together and then dividing by the number of values.

\[
\text{Mean} = \frac{7 + 7 + 9 + 10 + 17}{5} = \frac{50}{5} = 10
\]

2. **Median**: The median is the middle value when the numbers are arranged in ascending order. The data set is already sorted: 7, 7, 9, 10, 17. The middle value (3rd number) is 9.

\[
\text{Median} = 9
\]

3. **Mode**: The mode is the value that appears most frequently. In this data set, 7 appears twice, while the other numbers appear only once.

\[
\text{Mode} = 7
\]

Now, let's analyze the options:

a. **Mean = Median**: Here, the mean (10) is not equal to the median (9).

b. **Median = Mode**: Here, the median (9) is not equal to the mode (7).

c. **Mean > Mode**: The mean (10) is greater than the mode (7). This is correct.

d. **Mean < Mode**: The mean (10) is not less than the mode (7).

The correct answer is:

**c. Mean > Mode**

Would you like more details or have any further questions?

Here are 8 related questions:
1. How is the mean affected by extreme values?
2. What is the difference between the mean and the median?
3. How do you find the mode if no number repeats in a data set?
4. Can a data set have more than one mode?
5. How do outliers affect the median and mode?
6. What is the relationship between mean, median, and mode in a symmetric distribution?
7. In what situations is the median a better measure of central tendency than the mean?
8. What are the advantages of using the mode as a measure of central tendency?

**Tip:** When dealing with skewed data, the median can often be a better measure of central tendency than the mean.

Explore how to calculate the mean, median, and mode with a detailed example problem of a data set (7, 7, 9, 10, 17). Understand the differences between these measures of central tendency and how they apply in statistics. Suitable for students in Grades 7-9.

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