Questions: Here are the numbers of calls received at a customer support service during 9 randomly chosen, hour-long intervals. 18,15,18,15,18,14,16,20,15 (a) What is the mean of this data set? If your answer is not an integer, round your answer to one decimal place.

Here are the numbers of calls received at a customer support service during 9 randomly chosen, hour-long intervals. 18,15,18,15,18,14,16,20,15 (a) What is the mean of this data set? If your answer is not an integer, round your answer to one decimal place.
Transcript text: Here are the numbers of calls received at a customer support service during 9 randomly chosen, hour-long intervals. $18,15,18,15,18,14,16,20,15$ (a) What is the mean of this data set? If your answer is not an integer, round your answer to one decimal place.
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Solution

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Solution Steps

Step 1: Calculate the sum of the data set

Add all the numbers in the data set: \[ 18 + 15 + 18 + 15 + 18 + 14 + 16 + 20 + 15 \] \[ = 149 \]

Step 2: Determine the number of data points

Count the number of values in the data set: \[ 9 \]

Step 3: Calculate the mean

Divide the sum of the data set by the number of data points: \[ \text{Mean} = \frac{149}{9} \approx 16.555... \] Round the mean to one decimal place: \[ \text{Mean} \approx 16.6 \]

Final Answer

\(\boxed{16.6}\)

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