Find the mean of the data set shown in the table below.Data Set FData Set F37371241243838119119142142
Question
Find the mean of the data set shown in the table below.Data Set FData Set F37371241243838119119142142
Solution
Sure, let's find the mean of the data set step by step.
The data set provided is: 37, 37, 12, 41, 24, 38, 38, 11, 9, 11, 42, 142
Step 1: Sum all the numbers in the data set.
Add all the numbers together:
37 + 37 + 12 + 41 + 24 + 38 + 38 + 11 + 9 + 11 + 42 + 142
Step 2: Perform the addition.
Let's break it down:
37 + 37 = 74 74 + 12 = 86 86 + 41 = 127 127 + 24 = 151 151 + 38 = 189 189 + 38 = 227 227 + 11 = 238 238 + 9 = 247 247 + 11 = 258 258 + 42 = 300 300 + 142 = 442
So, the sum of the data set is 442.
Step 3: Count the number of data points.
There are 12 numbers in the data set.
Step 4: Divide the sum by the number of data points.
To find the mean, divide the sum by the number of data points:
442 / 12 ≈ 36.83
Conclusion:
The mean of the data set is approximately 36.83.
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