Question

Find the mean, median, and mode for the data set. If there is no mode, write none. If there is more than one mode,write your solutions from least to greatest, separated by a comma.50,30,40,10,20,80,60,90,10,30,110, 70mean:median:mode:

Answer 1

• Mean: 50

,

• Median: 45

,

• Mode: 10,30

Explanation:

Given the data set:

`50,30,40,10,20,80,60,90,10,30,110,70`

Before we begin, arrange the numbers from the least to the greatest.

`10,10,20,30,30,40,50,60,70,80,90,110`

(a)Mean

To find the mean, add up the numbers and divide by the number of items (12 in this case).

`\begin{gathered} Mean=(10+10+20+30+30+40+50+60+70+80+90+110)/(12) \\ =(600)/(12) \\ Mean=50 \end{gathered}`

The mean of the dataset is 50.

(b)Median

The median is the number in the middle of the dataset when arranged in ascending order.

• There are two numbers in the middle: 40 and 50

,

• Take the average to find the median.

`Median=(40+50)/(2)=(90)/(2)=45`

The median of the dataset is 45.

(c)Mode

The mode is/are the number(s) that appear the most number of times..

`10,10,20,30,30,40,50,60,70,80,90,110`

In the dataset:

• 10 appears twice

,

• 30 appears twice

The modes of the dataset are 10 and 30.