Questions: Find the mean of the set: 25, 14, 16, 25, 30. The mean is

Transcript text: Find the mean of the set: $25,14,16,25,30$. The mean is $\qquad$

Solution

Step 1: Calculate the Sum of the Data

To find the mean of the set $ 25, 14, 16, 25, 30 $, we first calculate the sum of the data points:

\[ \sum_{i=1}^N x_i = 25 + 14 + 16 + 25 + 30 = 110 \]

Step 2: Count the Number of Data Points

Next, we determine the number of data points in the set, which is $ N = 5 $.

Step 3: Calculate the Mean

The mean $ \mu $ is calculated using the formula:

\[ \mu = \frac{\sum_{i=1}^N x_i}{N} = \frac{110}{5} = 22.0 \]

The mean of the set is $ \boxed{22.0} $.

Was this solution helpful?

Unhelpful

Helpful