A sample of five college students have heights, in inches, of 

70

,  

75

,  

69

,  

74

,  and 

65

.



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Part: **0 / 5**

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Part 1 of 5

(a) Compute the sample mean. Round to one decimal place.

The sample mean height is 






To compute the sample mean height of the five college students, you use the formula for the mean:

\[
\text{Mean} = \frac{\sum x_i}{n}
\]

where:
- \( x_i \) are the individual data points,
- \( n \) is the number of data points.

Given dataTo compute the sample mean height of the five college students, you use the formula for the mean:

\[
\text{Mean} = \frac{\sum x_i}{n}
\]

where:
- \( x_i \) are the individual data points,
- \( n \) is the number of data points.

Given  \( 70, 75, 69, 74, 65 \)

### Step 1: Sum the heights.
\[
70 + 75 + 69 + 74 + 65 = 353
\]

### Step 2: Divide the sum by the number of data points.
\[
\text{Mean} = \frac{353}{5} = 70.6
\]

So, the sample mean height is **70.6 inches**.

Would you like more details, or do you have any questions?

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**Related Questions:**
1. How do you calculate the median of this data set?
2. What is the range of the heights?
3. How does one calculate the standard deviation of this sample?
4. What would happen to the mean if an additional height of 80 inches was included?
5. How is the mean different from the median in terms of data analysis?

**Tip:** The mean is sensitive to outliers, so always consider checking the data for any extreme values that might skew the result.

Learn how to compute the sample mean height of five college students using statistics. Detailed step-by-step solution provided with the heights: 70, 75, 69, 74, 65. Suitable for students in Grades 9-12.

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