High School

Find the mean of the set of data. Round your answer to the nearest tenth.

Data set: 227, 219, 212, 212, 212, 212, 219, 215, 215, 215, 219, 219

A) 216.1
B) 216.3
C) 216.5
D) 217.2

Answer :

Answer:

B

Step-by-step explanation:

The mean of a data set is calculated as

• mean = [tex]\frac{sum}{count}[/tex]

The sum of the 12 values ( count ) is

sum

= 227 + 219 + 212 + 212 + 212 + 212 + 219 + 215 + 215 + 215 + 219 + 219

= 2596

Then

mean = [tex]\frac{2596}{12}[/tex] ≈ 216.3 ( to the nearest tenth )

The mean of the set of data is B) 216.3.

We will follow these steps:

  • Add together all the numbers:

227 + 219 + 212 + 212 + 212 + 212 + 219 + 215 + 215 + 215 + 219 + 219 = 2596

  • Find the number of data points:

There are 12 numbers in the set.

  • Divide the sum by the number of data points to find the mean:

2596 / 12 = 216.3333...

  • Round the mean to the nearest tenth:

216.3333... rounds to 216.3

Therefore, the mean of the set of data, when rounded to the nearest tenth, is 216.3. The correct choice is B) 216.3.