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a grocery store has three locations: central, north, and south. the grocery store counted the number of cantaloupes sold at each of the three locations each day for a month. the table shows the mean and the mean absolute deviation of the number of cantaloupes sold each day.
which statements are correct?
select each correct answer.
the number of cantaloupes sold at central and south varied about the same amount.
the number of cantaloupes sold at central varied less than did the number sold at north.
the number of cantaloupes sold at north and south varied about the same amount.
the number of cantaloupes sold at central varied more than did the number sold at south.
store location mean number of sales mad
central 45 4.1
north 47 5.7
south 29 5.9

Step-by-step explanation:

a. The number of cantaloupes sold at Central varied less than did the number sold at North.

What is the MAD of the data set?

{10, 9, 16, 5, 10}

mean = (10 + 9 + 16 + 5 + 10)/5 = 10

MAD = ( (10 - 10) + (10 - 9) + (16 - 10) + (10 - 5) + (10 - 10) )/5 = 12/5

The numbers of cubs in each litter were 1, 1, 2, 2, 3, 3, 3, 4, 5, and 6. The mean of these measurements is 3.

What is the mean absolute deviation?

mad = ( (3 - 1) + (3 - 1) + (3 - 2) + (3 - 2) + (4 - 3) + (5 - 3) + (6 - 3) )/10

a. 1.2

Tamar surveyed six friends, asking each how many times he or she had ridden in a helicopter. The numbers of times she recorded were 0, 0, 0, 1, 3, and 8.

What is the mean absolute deviation of the number of times? Round to the nearest tenth, if needed.

mean = (1+3+8)/6 = 2

mad = ( 2 + 2 + 2 + (2 - 1) + (3 - 2) + (8 - 2) )/6 = 14/6

c. 2.3 times

Four friends played cards. Their final scores were –6, –3, 0, and 1.

What is the mean absolute deviation of their scores?

mean = (-6 - 3 - 1)/4= -10/4 = -2.5

mad = ( (6 - 2.5) + (3 - 2-5) + 2.5 + (2.5 + 1) )/2.5

mad = 4