five surf shops sell the same pair of flip - flops for the following prices: $17.00, $15.50, $15.00, $18.00…

five surf shops sell the same pair of flip - flops for the following prices: $17.00, $15.50, $15.00, $18.00, $15.00. find the mean, median, and mode of the data to determine which measure of center and which measure of variability best describe the data.\nthe mean is $ \nthe median is $ \nthe mode is $ \nthe best describes the data, so the is the better measure of variability.

five surf shops sell the same pair of flip - flops for the following prices: $17.00, $15.50, $15.00, $18.00, $15.00. find the mean, median, and mode of the data to determine which measure of center and which measure of variability best describe the data.\nthe mean is $ \nthe median is $ \nthe mode is $ \nthe best describes the data, so the is the better measure of variability.

Answer

Explanation:

Step1: Calculate the mean

The mean $\bar{x}=\frac{17 + 15.5+15+18+15}{5}=\frac{70.5}{5}=14.1$

Step2: Arrange data for median

Arrange the data in ascending - order: $15,15,15.5,17,18$. The median is the middle - value. Since $n = 5$ (odd), the median is the 3rd value, which is $15.5$.

Step3: Find the mode

The mode is the value that appears most frequently. Here, $15$ appears 3 times, so the mode is $15$.

Step4: Determine the measure of center

The data has a mode of $15$ and some values are close to it. The mode best describes the data as a measure of center.

Step5: Determine the measure of variability

The range is a simple measure of variability. Range=Max - Min. Max = 18, Min = 15, so Range=$18 - 15=3$.

Answer:

The mean is $$14.1$. The median is $$15.5$. The mode is $$15$. The mode best describes the data, so the range is the better measure of variability.