please, answer the questions in detail. The corner Convenience store kept track
ID: 3326307 • Letter: P
Question
please, answer the questions in detail.
The corner Convenience store kept track of the number of paying customers it had during the noon hour each day for 100 days. The resulting statistics are rounded to the nearest integer: mean = 95 median 97 mode = 98 midrange 93 range 56 standard deviation 12 first quartile 85 thirdquartile 107 a. The store served what number of paying customers during the noon hour more often than other number? Explain how you determined your answer b. On how many davs were there between 85 and 107 paying customers during the noon hour? Explain how you determined your answer. c. What was the greatest number of paying customers during noon hours? Explain how you determined your answer. d. For how many of the 100 days was the number of paying customers within 3 standard deviations of the mean? Explain how you determined your answerExplanation / Answer
(a) Mode is the value that appears most often. Here, mode is given to be 98.So the corner store served 98 paying customers more often than any other number
(b) Quartile divides the data into four parts .Q1(25th percentile)=85 and Q3(75th percentile)=107.
So half of the days ie,100/2=50 days should have been between 85 and 107 days
(c) Midrange=(lowest+highest)/2
Range=highest-lowest
Midrange=93
Lowest+highest=186......(1)
Highest-lowest=56......(2)
(1)+(2) gives, highest=121
The greatest number of paying customers during noon hours=121
(d) Using empirical rule(68-95-99.7), three standard deviations are 99.7% of the data.
1-0.997=0.003
Dividing by 2=0.0015
Lower limit=0.0015
Upper limit=0.9985
Normalcdf(0.15,99.85,95,12)=0.5939
Number of days=59.39*100=59.4 days
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