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8090 [49]
2 years ago
5

A sample of 25 undergraduates reported the following dollar amounts of entertainment expenses last year:

Mathematics
1 answer:
Kaylis [27]2 years ago
4 0

Answer:

A.

mean = 724.2

Median = 715

Mode = 768

B.

Range = 85

Standard deviation = 29.30

C.

Interval = [665.6, 782.8]

Step-by-step explanation:

Number of samples n = 25

Summation X= 769 + 691 + 699 +730+711+ 765+ 702 718 +719 +712+ 768 +688 +757+695 768 +735 +709 +758 +708+ 693 +736 700+ 687 +772 +715 = 18105

A.

1. Mean = 18105/25

= 724.2

2. Median is the middle value when arranged from the least value to the highest = 715

3. Mode is the number with the highest frequency = 768 (occured two times)

B.

1. Range = highest value - lowest value

Highest value = 772

Lowest value = 687

772-687 = 85

2. Standard deviation = √(X-barX)²/n-1

= √20604/25-1

=√858.5

= 29.30

Please check attachment for the full calculation of the standard deviation

C.

Interval

[Mean - 2(sd), mean + 2(sd)]

= [724.2-2x29.3, 724.2+2x29.3]

=[665.6, 782.8]

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Bill and Ted are going to order t-shirts for there school clubs. The t-shirts will have the club logo printed on the front. Bill and Ted ask two local t-shirt companies to give them a price. * Patty's Printing charges $21.50 for each t-shirt. * Sandra's shirts has a one-time set up fee for $63 and then charges $18 for each t-sh

Step-by-step explanation:

<u>Part 2: </u><u>Table Chart: </u>

Number of t-shirts: 2

Patty's cost: 43$

Sandra's cost: : 99$

Number of t-shirts: 4

Patty's cost: 86$

Sandra's cost: : 135$

Number of t-shirts: 6

Patty's cost: 129$

Sandra's cost: : 171$

Number of t-shirts: 8

Patty's cost: 172$

Sandra's cost: : 207$

Number of t-shirts: 10

Patty's cost: 215$

Sandra's cost: : 243$

Number of t-shirts: 12

Patty's cost: 258$

Sandra's cost: : 279$

Number of t-shirts: 14

Patty's cost: 301$

Sandra's cost: : 315$

Number of t-shirts: 16

Patty's cost: 344$

Sandra's cost: : 351$

Number of t-shirts: 18

Patty's cost: 387$

Sandra's cost: : 387$

<u>Part 3: Patty's Printing</u>

Linear equation = equation of a line= y=mx+b

y=21.5x

<u>Part 4: Sandra's Shirts:</u>

Linear equation = equation of a line= y=mx+b

y= 18x+63

<u>Part 5: Note to Jackie</u>

Dear Jackie, I recommend Sandra's shirts.

Write equations:

Sandra's Shirts = 18x+63

Patty's Printing = 21.5x

Sandra's Shirts: 495=18x+63 = 24 shirts

Patty's Printing: 495=21.5x = 23 shirts

<u>Part 6: Refute Jackie</u>

Sandra's Shirts is more expensive at the beginning, but as you buy more shirts (greater than 18), Patty's Printing becomes cheaper.

You should probably add to this, but I can't think of anything else.

<u>Part 7: Equality</u>

At 18 shirts (see table), the shirt cost is equal.

You should probably add to this, but I can't think of anything else.

18x+63=21.5x

Words of encouragement:

Good luck!

<u />

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