Question

find the mean of the data.
75, 78, 80, 82, 82, 91, 96, 100
mean
\frac{sum (add) all data}{number of data}
median
middle number when all data is in order from least to greatest
mode
most
appears a lot of times
a 82
b 85.5
c 25

Explanation:

Step1: Sum all data

$$75 + 78+80 + 82+82+91+96+100=684$$

Step2: Count the number of data

There are \(n = 8\) data points.

Step3: Calculate the mean

The formula for the mean \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\). Substitute \(\sum_{i=1}^{n}x_{i}=684\) and \(n = 8\) into the formula: \(\bar{x}=\frac{684}{8}=85.5\)

Answer:

B. \(85.5\)