what is the mode of the following set of data? 22 35 65 88 45 35 65 68 97\n65\n35\nthe data has no mode\n35…

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.

Answer:

D. 35 and 65

Explanation:

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:

C. 42