Find the mean, the median, and all modes for the data in the given frequency distribution. (Round your answers to one decimal place. If there is more than one mode, enter your answer as a comma-separated list. If an answer does not exist, enter DNE.) Points Scored by Lynn

Points scored in a basketball game Frequency

7 9

10 8

13 9

14 6

15 2

16 5

21 2

Mean: 819.3, Median: 146, Mode: DNE

Step-by-step explanation:

mean: sum of all numbers divided by the number of numbers

mean: 79+108+139+146+152+165+212/7= 819.3

Median: middle number when the number are arranges in ascending order:

79, 108, 139,146, 152, 165 212 - median= 146

Mode: the number that is most frequent, DNE

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations:

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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