Step-by-step explanation: The mean of a data set is equal to the sum of the set of numbers divided by how many numbers are in the set.
To find the mean of the data set shown here, let's begin by adding the numbers.
11 + 10 + 12 + 14 + 5 + 15 + 7 + 6 = 80
80 will now be divided by how many numbers are in the set which is 8.
80 ÷ 8 = 10
This means that the mean of the data set is 10.
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Now, let's find the median of the data set. The median is the middle number in the data set when the data set is written from least to greatest.
Least to greatest ⇒ 5, 6, 7, 10, 11, 12, 14, 15
Since there are two numbers in the middle of the data set, we need to add the two numbers that are in the middle and divide the sum of the numbers by 2 since there are two numbers.
The two numbers in the middle are 10 and 11.
10 + 11 = 21
21 ÷ 2 = 11.5
Therefore, 11.5 the median of the data set.
