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Suppose that the following data give 31 randomly selected debit card charges by

ID: 3202792 • Letter: S

Question

Suppose that the following data give 31 randomly selected debit card charges by people under 20, over a typical major holidays) month. Give the five number summary and the interquartile range (show your equation set up -Charges for the IOR for credit) for this data and draw a fully labeled box Round to two decimal full plot. places. Min = Q1 = Median = Q3 = Max = Interquartile range = Use this data and your calculator to fill in the values below and answer the questions Mean st Dev = Estimate a 88.9? chebyshew interval Show equation set up with numbers plugged in for full credit = If you were a debit card theft investigator, how could you use the information above? Refer to your data and calculated values in your answer ldentify the following for the data given above: What is the variable? What is the sample What is n for this sample? What is the implied population for this data?

Explanation / Answer

1) for above data

min =7

Q1 =(n+1)/4 th value =8th value =14.45

median =(n+1)/2 th value =16 th value =21.89

Q3 =(n+1)*3/4 th value =24th value =35.26

max =219.62

IQR =Q3-Q1 =20.81

b) mean =31.75

std deviation =37.84

(iii)for 88.9 %

k=1/(1-0.889)1/2 =3

hence interval will be 3 std deviation away from mean

interval =mean +/- 3*std deviaiton =31.75 +/- 3*37.84

=-81.7641 ; 145.2731

(iv)as value 219.62 falls outside our interval, which means it has minimum probability of having normal expenditure.

therefore it might be theft case.

c) variable is debit card charges

sample :31 randomely selected debit card charges by people under 20, living in US

n=sample size=31

population : all debit card charges by people under 20, living in US

X 7 7.3 8.99 8.99 10 10.58 10.94 14.45 15 15.98 16.02 18.78 19.96 21 21.37 21.89 25.85 28.03 29.52 32 34.41 34.95 34.95 35.26 36.57 41.47 41.53 43.61 45 73.37 219.62
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