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Bogdan [553]
3 years ago
14

A dotplot of the distribution of height for Mrs. Navard’s class is shown, along with some numerical summaries of the data. Suppo

se that Mrs. Navard has the entire class stand on a 6-inch high platform and then asks the students to measure the distance from the top of their heads to the ground.
What are the standard deviation and IQR of the new distribution of distance?

1. SD = 4.29, IQR = 13
2. SD = 10.29, IQR = 13
3. SD = 4.29, IQR = 7
4. SD = 10.29, IQR = 7
5. SD = 7.29, IQR = 10

Advanced Placement (AP)
1 answer:
Flura [38]3 years ago
6 0

Answer:5

Explanation:

heiweo

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zubka84 [21]

I don't know exactly how to label these. I'll start from the left and go to the right. The formula for all of these questions is Sum = a(1 - r^n)/(1 - r)

Left

The complete series is 1 3 9 27 81 and just adding these as you see them, you  get 1 + 3 + 9 + 27 + 81 = 121

Sample calculation

i = 1

3^(1 -1) = 1

i = 4

1 * 3^(4 - 1)=3^3 = 27 Just what the series says you should get.

Sum using formula

Sum = 1(1 - 3^5)/(1 - 3) = 1 * (1 - 243)/(1 - 3) = - 242/-2 = 121

Second from the left

Series: 3 6 12 24 48

Sum by hand = 93

Sample Calculation

i = 1

3*2^(1 - 1) = 1

i1 = 3

3 * 2^(3 - 1) = 3 * 2^2 = 3 * 4 = 12 which is what you should get.

Sum using formula

Sum = 3 (1 - 2^(5 - 1) / (1 - 2)

Sum = 3 (1 - 32) / - 1

Sum = 3(-31) / (- 1) = 93

Second from the right.

Series: 2 6 18 54

Sample Calculation

i = 1

t1 = 2* 3^(1 - 1) = 2*3^0 = 2*1 = 2

i = 4

t4 = 2 * 3^(4- 1)

t4 = 2 * 3^3

t4 = 2 * 27

t4 = 54 just as it should

Sum with formula

Sum = 2( 1 - 3^4) / ( 1 - 3)

Sum = 2(1 - 81)/ -2

Sum = 2( - 80) / - 2

Sum = 80

Entry on the right

Series: 1 2 4 8 16 32 64

Sum by hand: 1 + 2 + 4 + 8 + 16 + 32 + 64 = 127

Sample Calculation:

i = 1

2^(1 - 1) = 2^0

2 to the zero = 1

i = 6

t6 = 1(  2^6)

t6 = 1 * 2^6 = 64

Sum using the formula: 1*(1 - 2^7)/(1 - 2) = (1 - 128)/(-1 = 127

Order: Answer

Right comes first

Left

Second from the left

Second from the right.  

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