Question

Find the mean, the median, and the mode(s), if any, for the given data. Round noninteger means to the nearest tenth. (If there ismore than one mode, enter your answer as a comma-separated list. If an answer does not exist, enter DNE.)18,3, 40, 19, 42, 48, 51, 43meanmedianmode(s)

Answer 1

The data are listed in ascending order to be:

`3,18,19,40,42,43,48,51`

MEAN

The mean is the average of a data set. This can be calculated using the formula:

`Mean=\frac{Sum\text{ }of\text{ }numbers}{Number\text{ }of\text{ }Numbers}`

From the question, we can calculate the mean to be:

`\begin{gathered} Mean=(3+18+19+40+42+43+48+51)/(8)=(264)/(8) \\ Mean=33 \end{gathered}`

The mean is 33.

MEDIAN

The median is the middle of the set of numbers.

The middle terms are 40 and 42. Therefore, the median will be the average of the two numbers:

`\Rightarrow(40+42)/(2)=41`

The median is 41.

MODE

The mode is the most common number in a data set.

The modes of the data are 3, 18, 19, 40, 42, 43, 48, and 51.