Question

what is the mode of the following set of data? 22 35 65 88 45 35 65 68 97
65
35
the data has no mode
35 and 65
question #4
find the mean of the data set: 12, 15, 18, 25, 31, 47, 59, 63, 75, 75
41
47
42
43

Explanation:

Step1: Recall mode definition

The mode is the number that appears most frequently in a data - set.

Step2: Count frequencies

In the data - set 22, 35, 65, 88, 45, 35, 65, 68, 97, the number 35 appears 2 times and the number 65 appears 2 times, and all other numbers appear 1 time.

Step1: Recall mean formula

The mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $x_{i}$ are the data points and $n$ is the number of data points.

Step2: Calculate sum of data points

$\sum_{i=1}^{10}x_{i}=12 + 15+18 + 25+31+47+59+63+75+75=420$.

Step3: Calculate number of data points

$n = 10$.

Step4: Calculate the mean

$\bar{x}=\frac{420}{10}=42$.

Answer:

D. 35 and 65