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.-8.1, -2.4, 4.7, 4.7, 6.6, 8.3, 9.5meanmedianmode(s)

Answer 1

Given: The data below

`-8.1,-2.4,4.7,4.7,6.6,8.3,9.5`

To Determine: The mean, median and mode of the given data

Solution

The mean of a set of data is given by the formula

`\begin{gathered} mean=(\Sigma x)/(n) \\ \Sigma x=summation\text{ of all the numbers given} \\ n=number\text{ of numbers given} \end{gathered}`

Apply the formula to calculate the mean of the given data

`mean=(-8.1+(-2.4)+4.7+4.7+6.6+8.3+9.5)/(7)`
`\begin{gathered} mean=(-8.1-2.4+4.7+4.7+6.6+8.3+9.5)/(7) \\ mean=(23.3)/(7) \\ mean=3.32857 \\ mean\approx3.3 \end{gathered}`

Calculate the median

Re-arrange the data in ascending order

`-8.1,-2.4,4.7,4.7,6.6,8.3,9.5`

Locate the middle number

There are seven number from position 1st to 7th.

The middle number is the number in the 4th position

From the above, the 4th number