Question

Kayla and Latasha work for a department store the amount of sales they made over the last year was collected monthly and the data was made into a box and whisker plot for each of them.A) what is the lowest amount of sales Latasha made in any month?B)50% of sales Kayla made was between what two dollar amounts?C) compare the spread of Kayla‘s middle 50% of sales to Latasha‘s middle 50% of sales. Which person has their 50% of sales less spread out? Show workd). Explain step-by-step the process of creating a box and whisker plot

Answer 1

We are given a box and whiskers plots for Kayla and Latasha sales.

a) The lowest amount of sales Latasha made in any month is the minimum point in the box plot.

The point is 50 dollars.

b) 50% of sales Kayla made is the difference between the upper and lower quartile.

From the box plot:

Upper quartile = 375

Lower quartile = 100

Hence, 50% of sales Kayla made is between 100 and 375 dollar

c) 50% of sales for both Kayla and Latasha is the difference between their upper and lower quartile values, which is the interquartile range.

For Kayla:

`\begin{gathered} Interquartile\text{ range = 375 - 100} \\ =\text{ 275} \end{gathered}`

For Latasha:

`\begin{gathered} \text{Interquartile range = }450\text{ - 150} \\ =\text{ 300} \end{gathered}`

The person that has a lesser spread has the lowest interquartile range.

Hence, Kayla has less spread.

d) The process of creating a box and whisker plot :

1. The first step to creating a box and whisker plot is to arrange the values in the data set from least to greatest.

2. Identify the upper and lower extremes (the highest and lowest values in the data set.

3. Identify the median, lower and upper quartile of the data set.