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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?

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 class=

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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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