MATH SOLVE

3 months ago

Q:
# he test scores of 32 students are listed below. Construct a boxplot for the data set and include the values of the 5-number summary

Accepted Solution

A:

Answer:Five number summary is:Minimum Value = 32First Quartile = 56Median = 69.5Third Quartile = 80Maximum Value = 99Box plot is used to represented by Option C.Step-by-step explanation:The box plot is made up of five number summary.The five number summary consists of:Minimum ValueFirst QuartileMedianThird QuartileMaximum ValueSo, Looking at the data set and finding five number summary,Minimum Value = 32First Quartile We find median of lower half of data (i.e all data before median) (55+57)/2 =112/2 =56So, First Quartile = 56MedianMean of middle most numbers: 69+70/2 = 69.5So, Median = 69.5Third QuartileWe find median of upper half of data (i.e all data after median) (79+81)/2 =160/2 =80So, Third Quartile = 80Maximum Number = 99So, Five number summary is:Minimum Value = 32First Quartile = 56Median = 69.5Third Quartile = 80Maximum Value = 99Box plot is used to represent this five number summary.Option C is correct.