Q9. - Algebra 1

Question

Which measure of central tendency best represents the data? Justify your answer. Then find the measure.

SHOPPING A department store kept track of the number of items shoppers purchased on a given day: $\mathbf{3}\mathbf{,}\mathbf{5}\mathbf{,}\mathbf{4}\mathbf{,}\mathbf{3}\mathbf{,}\mathbf{4}\mathbf{,}\mathbf{5}\mathbf{,}\mathbf{5}\mathbf{,}\mathbf{3}\mathbf{,}\mathbf{2}\mathbf{,}\mathbf{3}\mathbf{,}\mathbf{2}\mathbf{,}\mathbf{10}$.

Step-by-Step Solution

Answer

The measure of central tendency best represents the data is mode. The mode of given data is 3.

Step 1. List the values from least to greatest.

The list of given values from the least to greatest is

 $2,2,3,3,3,3,4,4,5,5,5,10$

Step 2. Measure of central tendency.

Here, the data set has many repeated numbers. Therefore, the measure of central tendency best represents the data is mode.

Step 3. Find the mode.

The mode of $\left\{2,2,3,3,3,3,4,4,5,5,5,10\right\}$ is 3 because it occurs four times, which is more than any other number.

Therefore, the mode of the data set is 3.