Question

What is the mean of the following data set?



{13, 18, 13, 14, 13, 16, 14, 21, 13}

(1 point)
Responses

13
13

13.5
13.5

14
14

15

Answer 1

To find the mean of the data set {13, 18, 13, 14, 13, 16, 14, 21, 13}, you need to follow these steps:

1. **Add all the values together**:
\( 13 + 18 + 13 + 14 + 13 + 16 + 14 + 21 + 13 = 13 + 18 = 31 \)
\( 31 + 13 = 44 \)
\( 44 + 14 = 58 \)
\( 58 + 13 = 71 \)
\( 71 + 16 = 87 \)
\( 87 + 14 = 101 \)
\( 101 + 21 = 122 \)
\( 122 + 13 = 135\)

So, the total is **135**.

2. **Count the number of values in the data set**:
There are **9** values.

3. **Divide the total by the number of values**:
\[
\text{Mean} = \frac{135}{9} = 15
\]

Therefore, the mean of the data set is **15**.