Question

Kayla and latasha work for a department store the amount of sales they made over the last year was collected monthly in 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 one month?

b) 50% of the sales Kayla made was between what two dollar amounts?

c)Compare the spread of Kayla’s middle 50% of sales to Latasha middle 50% of sales. which person has a 50% off sales was but I’ll provide math support your answer answer?

Answer 1

Based on the information represented by the boxplot ;

• Latasha's lowest sale amount = 50

• Kayla's median is between 200 and 300

• Latasha has a greater spread due to higher IQR value

1.) The Lowest amount of sale made by Latasha in one month

• The minimum value is denoted by the starting position of the lower whisker on a boxplot.

• Lowest amount of sale made by Latasha = 50

2.) 50% of sales made by Kayla :

• 50% of sales made marks the median value in a boxplot, it is denoted by the vertical line in between the box.

• 50% of sales made by Kayla is between 200 and 300

• With median sale value being 250

3.) Spread of the middle 50% of sales :

• The measure of spread of the middle 50% of a distribution on a boxplot is the Interquartile range (IQR) of the distribution

• IQR = Upper Quartile (Q3) - Lower quartile(Q1)

For Latasha :

• Q3 = 450 (Endpoint of the box)
• Q1 = 150 (starting point of the box)

• IQR = 450 - 150 = 300

For Kayla :

• Q3 = 375 (Endpoint of the box)
• Q1 = 100 (starting point of the box)
• IQR = 375 - 100 = 275

• Since, Latasha's IQR is greater than Kayla's, then Latasha has a greater mid 50% spread than Kayla.

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