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Jobisdone [24]
3 years ago
6

Given a data set consisting of 33 unique whole number observations, its five-number summary is:

Mathematics
1 answer:
Lemur [1.5K]3 years ago
3 0

Answer:

given a data set of 33 unique whole number observation,its five number sumary is [16, 29, 40 ,54, 67]

Step-by-step explanation:

The p-th percentile in an ordered (from low to high) data set is a value such that p% of the data is less than that value. The quartiles of a data set are the 25th, 50th and 75th percentiles. (The 25th percentile is usually called the first quartile, the 50th percentile is usually called the median, and the 75th percentile is usually called the third quartile.)

The formula for finding the location (or position) of the (approximate) pth percentile in an ordered (from low to high) data set is  

L p=(n+1).p/100

For example, in the data set  [2,4,6,8,10,12,14,16,18]

the (approximate) 60th percentile is located at position  

L 60=(9+1).60/100=6

that is, the sixth data point (the value 12) is at the (approximate) 60th percentile.(Actually, only 55.6% of the data is below a 12.)

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Question text You have just won the lottery. The Lottery Corporation offers you two options: 1. a lump-sum payment of $400,000,
igomit [66]
Use present value equation.
If present value of annuity equals 400,000, then you are indifferent.

PV = A(v + v^2 + ...v^{20}) \\  \\ PV = A\frac{v(1-v^{20})}{1-v}

where v = 1/(1+r) and  A = annual payment = 800,000/20 = 40,000

PV = 400,000
After subbing in the numbers, the equation is:
10 = \frac{v(1-v^{20})}{1-v} \\  \\ 10 - 10v = v - v^{21} \\  \\ v^{21} - 11v+10 = 0 \\  \\ v = 0.928034 \\  \\ \frac{1}{1+r} = 0.928034 \\  \\ r = 0.0775

Therefore at interest rate of about 7.75% you are indifferent.
6 0
3 years ago
Amy is analyzing a job offer.
UkoKoshka [18]

Answer:

Total Income with benefits = $ 71600 annually

Step-by-step explanation:

Income with benefits              $

Annual Salary                       48500

Benefits                                   2500

Bonuses                                  5000

Average monthly rent

(1100×12)                                13200

Average monthly utility cost

<u>(200×12)                                  2400</u>

<u>Total Income with Benefits 71600</u>

<u />

3 0
3 years ago
Read 2 more answers
What is the estimate of 23 times 67
KATRIN_1 [288]

1,541 is the answer


5 0
3 years ago
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Tìm tất cả các căn bậc bốn của −16.
algol13
16 the answer 16 ok stop petting me
8 0
3 years ago
Write the equation in the form y = a • b^x given the table below.​
MrRa [10]

9514 1404 393

Answer:

  y = 1 · 5^x

Step-by-step explanation:

Use the given values in the given formula and solve for 'a' and 'b'.

  y = a·b^x

  5 = a·b^1 . . . . . . for (x, y) = (1, 5)

  125 = a·b^3 . . . . for (x, y) = (3, 125)

Divide the second equation by the first:

  125/5 = (a·b^3)/(a·b^1)

  25 = b^2 . . .  simplify

  5 = b . . . . . . . take the square root

Substituting into the first equation, we can find 'a':

  5 = a·5

  1 = a . . . . . . . divide by 5

Written in the given form, the equation is ...

  y = 1 · 5^x

6 0
2 years ago
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