+1982 Charity Cancer Walk
School Money Raised
Northside HS $4000
Southside HS $2500
Walker HS $3500
Lincoln HS $2000
Harrison HS $1500
Washington HS $4000
King HS $5000
The seven high schools in Washington County have raised money for a charity cancer walk. The amount of money that each school raised is shown in the table. Which statement about the data is true?
A) The mean is less than the mode.
B) The mode is less than the mean.
C) The mean is greater than the median.
D) The median is greater than the range.
E) The mean is greater than the range.
+1982 Original List = {4000, 2500, 3500, 2000, 1500, 4000, 5000}
Sorted List = {1500, 2000, 2500, 3500, 4000, 4000, 5000}
The middle value of that sorted list is 3500, so this is the median
The mean is found by adding up the values and then dividing by 7 (since there are 7 values) so we have
mean = (sum of values)/7
mean = (1500+2000+2500+3500+4000+4000+5000)/7
mean = 22500/7
mean = 3214.286 (approx)
The mode is 4000 because this value is the most frequent. It shows up twice while everything else shows up once.
the range is the difference of the largest and smallest items
range = max - min
range = 5000 - 1500
range = 3500
coincidentally it is equal to the median, but this wont always be the case
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mean = 3214.286
median = 3500
mode = 4000
range = 3500
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Going through the answer choices we have...
A) True, 3214.286 is less than 4000
B) False, 4000 is not less than 3214.286
C) False, 3214.286 is not larger than 3500
D) False, 3500 is not greater than 3500
E) False, 3214.286 is not greater than 3500
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Answer is choice A) mean is less than the mode
