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melamori03 [73]
3 years ago
13

Find the variance of the set of data to the nearest tenth: 5, 8, 2, 9, 4

Mathematics
1 answer:
Orlov [11]3 years ago
7 0

Answer:

Therefore the variance on the data set is 8.3

Step-by-step explanation:

In order to find the variance of the set of data we first need to calculate the mean of the set, which is given by:

mean = sum of each element / number of elements

mean = (5 + 8 + 2 + 9 + 4)/5 = 5.6

We can now find the variance by applying the following formula:

s^{2} = \frac{\sum_{(i=1)}^n(x_i - mean)^2}{n -1}

So applying the data from the problem we have:

s² = [(5 - 5.6)² + (8 - 5.6)² + (2 - 5.6)² + (9 - 5.6)² + (4 - 5.6)²]/(5 - 1)

s² = [(-0.6)² + (2.4)² + (-3.6)² + (3.4)² + (-1.6)²]/4

s² = [0.36 + 5.76 + 12.96 + 11.56 + 2.56]/4 = 8.3

Therefore the variance on the data set is 8.3

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It takes 8 workers 12 days to build a wall work out how many days it would take 3 workers to complete the same job
MissTica

Answer: 4.5 days or 4 1/2 days

Step-by-step explanation: We can use cross product property, to solve this. Workers to Days remember that  

6 0
3 years ago
Austin qualified for a $30,000 loan with 7.49% interest in order to buy a new ski boat. The term of his loan is 10 years and his
sertanlavr [38]

Answer:

$12,714

Step-by-step explanation:

Loan Amount=$30,000

Monthly Payment =$355.95.

Number of Payment Period = 10 Years X 12 Months =120 Months

Total Payment to be made by Austin =120 X 355.95=$42,714

Therefore:

The interest Austin will pay=Total Payment-Loan Amount

=$42,714-30,000

=$12,714

7 0
3 years ago
4. Kay and Allen sell cell phones. Last month Kay sold 17 more cell phones than Allen. Together they both sold 117 cell phones.
forsale [732]

Answer:

Allen sold 50 cell phones while Kay sold 67 cell phones.

Step-by-step explanation:

Let the number of cell phones sold by Allen be x. This will imply that the number of cell phones sold by Kay is x + 17.

Furthermore, we are informed that together they sold a total of 117 cell phones. Therefore, we use the following equation to determine the number of cell phones sold by each;

x + x + 17 = 117

2x + 17 = 117

2x = 100

x = 50

Therefore, Allen sold 50 cell phones while Kay sold 67 cell phones.

7 0
3 years ago
Read 2 more answers
Mari is adding (-7) and (-2). She adds their absolute values and says the answer is 9.
Helen [10]

Answer:

ari is adding (-7) and (-2). She adds their absolute values and says the answer is 9.

What did Mari forget?

A

that is neither positive nor negative

B

to move left on the number line

С

to keep the sign of the larger integer

D

to keep the sign of the two integers being adde

Step-by-step explanation:

5 0
3 years ago
√(5-2x) - √(2-x) = 1
Eva8 [605]
Square both sides. (5-2x) - (2-x) = 1^2. 5 - 2x - 2 + x = 1. Simplify to get 3 - x = 1. X=2
8 0
3 years ago
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