Questions: Find the mean for the following group of data items. 115, 55, 85, 55, 75 The mean is . (Type an integer or a decimal.)

Find the mean for the following group of data items. 115, 55, 85, 55, 75 The mean is . (Type an integer or a decimal.)
Transcript text: TH101M_19521 INTRO-MATH FOR CRITICAL THINK MADELINE JONES 01 Module 6 QUIz Question 10 of 10 This quiz: 10 point(s) possible This question: 1 point(s) possible list Find the mean for the following group of data items. \[ 115,55,85,55,75 \] The mean is $\square$ . (Type an integer or a decimal.)
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Solution

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Solution Steps

Step 1: Understand the Problem

We are given a set of data items: \(115, 55, 85, 55, 75\). Our task is to find the mean of these numbers.

Step 2: Calculate the Sum of the Data Items

To find the mean, we first need to calculate the sum of all the data items: \[ \sum_{i=1}^N x_i = 115 + 55 + 85 + 55 + 75 = 385 \]

Step 3: Determine the Number of Data Items

Count the number of data items, which is denoted by \(N\). In this case, there are 5 data items.

Step 4: Calculate the Mean

The mean \(\mu\) is calculated using the formula: \[ \mu = \frac{\sum_{i=1}^N x_i}{N} = \frac{385}{5} = 77.0 \]

Final Answer

The mean of the given data items is \(\boxed{77.0}\).

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