Q53. - Algebra 1

Question

Find the mean, median, and mode for each set of data.

{10,11,18,24,30}

Step-by-Step Solution

Answer

Mean = 18.6

Median = 18

No mode

Step-1. Apply the concept of mean, median and mode.

• Mean is the average of all the observations   
• The median is the middle value when a data set is ordered from least to greatest.

• Mode is the number that occurs most often in the data set.

Step-2. Calculation of mean.

Given:

{10,11,18,24,30}

$\begin{array}{l}\text{Mean = }\frac{\text{Sum of all the observations}}{\text{Total number of observations}}\\ \Rightarrow \text{Mean }=\frac{10+11+18+24+30}{5}\\ \Rightarrow \text{Mean }=\frac{93}{5}=18.6\end{array}$

Step-3. Calculation of median.

Given:

{10,11,18,24,30}

Arrange the numbers of given set in ascending order:

10,11,18,24,30

So, the median is ${\left(\frac{5+1}{2}\right)}^{rd}=3^{rd}$ observation

Therefore, the median is 18

Step-4. Calculation of mode.

Given:

{10,11,18,24,30}

Since all the numbers occur just one time, there is no mode of this data set.