Find the median and mean of the data set below:

Question

30, comma, 7, comma, 2, comma, 10, comma, 19
30,7,2,10,19

Answer 1

To find the mean and median of the data set \(30, 7, 2, 10, 19\), we can follow these steps:

Mean Calculation

1. Sum the Numbers: \[ 30 + 7 + 2 + 10 + 19 = 68 \]

2. Count the Numbers: There are 5 numbers in the data set.

3. Calculate the Mean: \[ \text{Mean} = \frac{\text{Sum of the numbers}}{\text{Count of the numbers}} = \frac{68}{5} = 13.6 \]

Median Calculation

1. Sort the Numbers: \[ 2, 7, 10, 19, 30 \]

2. Find the Middle Number: Since there are 5 numbers (an odd count), the median is the middle number. In the sorted list:

   • The middle number is the 3rd number, which is \(10\).

Summary

• Mean: \(13.6\)
• Median: \(10\)