Question

Find the mean of 86, 78, 94, 94, 98.Find the median of 86, 78, 94, 94, 98.Identify the mode of 86, 78, 94, 94, 98.

Answer 1

Mean:

We are asked to find the mean of the following data set.

86, 78, 94, 94, 98

The mean is given by

`mean=(sum)/(n)`

Where n is the total number of values in the data set.

`mean=(sum)/(n)=(86+78+94+94+98)/(5)=(450)/(5)=90`

The mean of the data set is 90.

Median:

To find the median, first, arrange the values in ascending order (least to greatest).

78, 86, 94, 94, 98

The median value is the most middle value in the data set.

`median=((n+1)/(2))^(th)=((5+1)/(2))^(th)=((6)/(2))^(th)=3^(rd)\;value`

The 3rd value in the data set is 94.

Therefore, the median of the data set is 94.

Mode:

The mode is the most repeated value in the data set.

86, 78, 94, 94, 98

As you can see, the value 94 is the most repeated value (two times) in the data set.

Therefore, the mode of the data set is 94.