Question

The number of games a baseball team has won in each of the ten seasons is as follows:

10, 16, 19, 13, 12, 17, 16, 15, 9, 16
1. Find the mean, median, and range of the data.

Answer 1

The mean = 14.3. median = 15.5 and the range = 10.

Explanation:

10, 16, 19, 13, 12, 17, 16, 15, 9, 16

The mean = sum of the 10 numbers / 10 = 143/10 = 14.3.

Find the median by arranging in ascending order:

9, 10, 12, 13, 15, 16, 16, 16, 17, 19

The median is the mean of the 2 middle numbers = (15 + 16)/2

= 15.5.

The range = highest - lowest number = 19 - 9 = 10.

Answer 2

Mean: Average of numbers in a set of data.

Step 1: Add the numbers.

10 + 16 + 19 + 13 + 12 + 17 + 16 + 15 + 9 + 16

Step 2: Divide the sum by the number of digits added.

143 "sum of numbers" divided by 10 "number of digits" = 14.3

Mean = 14.3

Median: The middle number when all the numbers are listed in order.

Step 1: Put the numbers in order

9, 10, 12, 13, 15, 16, 16, 16, 17, 19

There are two numbers in the middle. To find the median, we have to add the two numbers and then divide the sum by 2.

15 + 16 = 31

31 ÷ 2 = 15.5

Median = 15.5

To find the range, just subtract the smallest number from the biggest number.

19 - 9 = 10

Range = 10