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Hunter-Best [27]
3 years ago
7

Suppose the following data show the introductory interest rates on a sample of 5 credit cards: 5.3, 2.3, 2.9, 4.3, 3.8. Calculat

e the standard deviation of the sample. Note: the numbers may be different from the last problem. (please express your answer using 2 decimal places)
Mathematics
1 answer:
evablogger [386]3 years ago
8 0

Answer: 1.18

Step-by-step explanation:

Let m be mean

Mean= sum/ n

Mean= (5.3+2.3+2.9+4.3+3.8 ) / 5

m= 18.6 / 5

M= 3.72

Mean= 3.72

Standard deviation sample formula is:

S.D= sqrt((|x-m|^2) / n-1)

So let start with |x-m|^2

For 1st: |5.3-3.72|^2=2.4964

For 2nd: |2.3-3.72|^2=2.0164

For 3rd: |2.9-3.72|^2=0.6724

For 4th: |4.3-3.72|^2=0.3364

For 5th: |3.8-3.72|^2=0.0064

Summation of |x-m|^2 = 5.528

Standard deviation sample formula is:

S.D = sqrt((summation of |x-m|^2) / n-1)

S.D=sqrt(5.528 / 4)

S.D=sqrt(1.382)

S.D=1.176

S.D=1.18 to 2 decimal place

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3 years ago
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One number is larger than another by 9. If the greater number is increased by 10, and the lesser number is tripled, the sum of t
kkurt [141]

Answer:

The larger number is -6, the smaller number is -15

Step-by-step explanation:

We have two numbers, a and b.

We know that one number is larger than another by 9.

Then we can write:

a = b + 9

then a is larger than b by 9 units.

If the greater number is increased by 10 (a + 10) and the lesser number is tripled (3*b), the sum of the two would be -41:

(a + 10) + 3*b = -41

So we got two equations:

a = b + 9

(a + 10) + 3*b = -41

This is a system of equations.

One way to solve this is first isolate one variable in one of the two equations:

But we can see that the variable "a" is already isolated in the first equation, so we have:

a = b + 9

now we can replace that in the other equation:

(a + 10) + 3*b = -41

(b + 9) + 10 + 3*b = -41

now we can solve this for b.

9 + b + 10 + 3b = -41

(9 + 10) + (3b + b) = -41

19 + 4b = -41

4b = -41 -19 = -60

b = -60/4 = -15

b = -15

then:

a = b + 9

a = -15 + 9 = -6

a = -6

7 0
2 years ago
A box contain 9 novels, 7 biographies, and 5 reference books. Alyssa randomly chooses a book, then she randomly chooses another
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3 years ago
Antoine Purchase 1.8 kg of apples and 315 dekagrams of oranges This was 1350 g more than the weight of bananas bridges what was
victus00 [196]

Answer: 3600 grams

Step-by-step explanation:

A dekagram means 10 grams.

1 kilogram = 1000 grams

Therefore the total number of grams when Antoine Purchase 1.8 kg of apples and 315 dekagrams of oranges will be:

= (1.8 × 1000) + (315 × 10)

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2 years ago
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