A local gas station collected data from the day\'s receipts, recording the gallo
ID: 3267834 • Letter: A
Question
A local gas station collected data from the day's receipts, recording the gallons of gasoline each customer purchased. The following table lists the frequency distribution of the gallons of gas purchased by all customers on this one day at this gas station.
Gallons of Gas
Number of Customers
4 to less than 8
78
8 to less than 12
49
12 to less than 16
81
16 to less than 20
117
20 to less than 24
13
a) How many customers were served on this day at this gas station?
b) Find the class midpoints. Do all of the classes have the same width? If so, what is this width? If not, what are the different class widths?
c) What percentage of the customers purchased between 4 and 12 gallons? (do not include % sign. Round numerical value to one decimal place)
Gallons of Gas
Number of Customers
4 to less than 8
78
8 to less than 12
49
12 to less than 16
81
16 to less than 20
117
20 to less than 24
13
Explanation / Answer
(a) Number of customers served on this day at this station = 338
(b) class midpoints are:
(8+4)/2 = 6
(12+8)/2 = 10
(16+12)/2 = 14
(20 + 16)/2 = 18
*24 + 20).2 = 22
Yes, all classes have the same width.
width = 5 for all classes
c) Percentage of customers purchased between 4 and 12 gallons = (78 + 49)/338 X 100 = 127/338 X 100 = 37.9
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