Question

I'm really confused in this question. what is the mean? 14, 154, or 11what is the median? 14, 16, or 15what is the mode? 10, 16, or 20what is the range? 10, 20, or 3

Answer 1

EXPLANATION

Rearranging the numbers from least to greater.

10, 10, 10, 11, 12, 14, 16, 16, 17, 18, 20

The mean is the average or norm.

First we need to add up all of the values to find a total.

Then, we should divide the total by the number of values we added together.

`\text{Mean}=\frac{\sum ^{}_{}x}{n}=(10+10+10+11+12+14+16+16+17+18+20)/(11)=(154)/(11)=14`

The median is the middle value.

First, we need to put all of the values into order.

The median is the middle value.

`\text{Median}=(n+1)/(2)=(11+1)/(2)=(12)/(2)=6`

So, the sixth number is the median, in this case, it's the number 14

Median = 14

The mode is the most frequent value.

First, we need count how many of each value appears.

The mode is the value that appears the most often in the data set.

Most often number --> 10 Mode = 10

The range is the difference between the lowest and highest value.

First, we need to find the highest and lowest values.

Then, we need to subtract the lowest value from the highest.

`\text{Lowest value = 10}`
`\text{Highest value = 20}`
`\text{Difference = Range = 20 - 10 = 10}`