Math Problem Statement
A sample of five college students have heights, in inches, of
70
,
75
,
69
,
74
, and
65
.
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Part: 0 / 5
0 of 5 Parts Complete
Part 1 of 5
(a) Compute the sample mean. Round to one decimal place.
The sample mean height is
Solution
To compute the sample mean height of the five college students, you use the formula for the mean:
where:
- are the individual data points,
- 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:
where:
- are the individual data points,
- is the number of data points.
Given
Step 1: Sum the heights.
Step 2: Divide the sum by the number of data points.
So, the sample mean height is 70.6 inches.
Would you like more details, or do you have any questions?
Related Questions:
- How do you calculate the median of this data set?
- What is the range of the heights?
- How does one calculate the standard deviation of this sample?
- What would happen to the mean if an additional height of 80 inches was included?
- 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.
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Math Problem Analysis
Mathematical Concepts
Statistics
Formulas
Mean formula: Mean = (sum of data points) / (number of data points)
Theorems
-
Suitable Grade Level
Grades 9-12
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