Shown below are the top food and drug stores in the United States in a recent ye
ID: 3070211 • Letter: S
Question
Shown below are the top food and drug stores in the United States in a recent year according to Supermarket News.
Company: Revenue ($ billions):
Wal-mart 258.8
Kroger 77.2
Costco 72.5
Walgreens 63.3
CVS Caremark 49.0
Supervalu 45.0
Safeway 44.8
Loblaw 31.5
Rite Aid 26.3
Assume that the data represents a population
1 Find the range
2 Find the mean absolute deviation
3 Find the population variance
4 Find the population standard deviation
5 Find the interquartile range
6 Find the z score for Walgreen
7 Find the coefficient of variation
Explanation / Answer
a)
Range = (largest - smallest)value
= ( 258.5 - 26.3) = 232.2
b)
Mean absolute deviation(MAD) = |x - mean| / n
Mean = 74.233
MAD = |258.5 - 74.233| + |77.2 - 74.233| +......... + |31.5 - 74.233| + |26.3 - 74.233| / 9
MAD = 41.61
c)
Population variance = 5070.86
d)
POpulation std.deviation = 71.21
e)
Q1 = (31.5 +44.8) / 2 = 38.15
Q3 = (72.5 + 77.2) / 2 = 74.85
IQR = Q3 - Q1
= 36.7
f) x = 63.3Q3 = (72.5 + 77.2) / 2 =
z = ( 63.3 - 74.23) / (71.21/sqrt(9))
= -0.46
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