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3 years ago

Find the standard deviation of the following set of data (1.2, 2.3, 5.2, 6.6, 4.8)

Mathematics

1 answer:

Vesna [10]3 years ago

8 0

Answer:

The correct answer s B. 2.21

Step-by-step explanation:

There are three steps to calculate the standard deviation of the set of data given.

n = 5 (5 numbers in the set)

1. Calculate the mean, this way:

(1.2 + 2.3 + 5.2 + 6.6 + 4.8)/5 = 20.1/5 = 4.02

μ = 4.02

2. Calculate the variance, this way:

Sum of the squared difference between each number of the set and the mean divided by the number of elements of the sample minus one.

[(1.2 - 4.02)² + (2.3 - 4.02)² + (5.2 - 4.02)² + (6.6 - 4.02)² + (4.8 - 4.02)²]/4 =

19.568/4 = 4.892

σ² = 4.892

3. Finally, the standard deviation. this way:

Standard deviation is the square root of the variance.

σ² = 4.892

√σ² = √4.892

σ = 2.21

The correct answer s B. 2.21

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5th grade math. Correct answer will be marked brainliest. Which boxes go where?

loris [4]

Answer:

.46 x 14 = 6.44

46 x 1.4 = 64.4

46 x 14 = 644

4.6 x 14 = 64.4

46 x .14 = 6.44

Step-by-step explanation:

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2 years ago

Read 2 more answers

The triangles below are similar. Triangle A B C. Side A C is 10 and side A B is 5. Angle C is 30 degrees. Triangle D E F. Side E

Gnoma [55]

Answer:

$\triangle ABC {\displaystyle \sim } \triangle DE\ F$

$\triangle CBA {\displaystyle \sim } \triangle FED$

$\triangle BAC {\displaystyle \sim } \triangle EDF$

Step-by-step explanation:

Given

$\triangle ABC {\displaystyle \sim } \triangle DE\ F$

$AC = 10$

$AB = 5$

$\angle C = 30^\circ$

$ED = 7.5$

$DF = 25$

$\angle F =30$

$\angle E =90$

Required

Which of the options is/are true:

$\triangle CBA {\displaystyle \sim } \triangle FED$ $\triangle CBA {\displaystyle \sim } \triangle FDE$ $\triangle BAC {\displaystyle \sim } \triangle EFD$

$\triangle BAC {\displaystyle \sim } \triangle EDF$ $\triangle ABC {\displaystyle \sim } \triangle DE\ F$ $\triangle ABC {\displaystyle \sim } \triangle DFE$

The given triangles, implies that:

$A {\displaystyle \sim } \ D$

$B {\displaystyle \sim } \ E$

$C {\displaystyle \sim } \ F$

By taking each sides of both triangle, one after the other; the possible similar triangles are:

$\triangle ABC {\displaystyle \sim } \triangle DE\ F$

$\triangle CBA {\displaystyle \sim } \triangle FED$

$\triangle BAC {\displaystyle \sim } \triangle EDF$

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3 years ago

Can someone help? If b/a=c/b=d/c=2/3, find a:b:c:d.

blagie [28]

Answer: a:b:c:d = 16:24:30:40

You can also divide the ratio by 2 because all terms have 2 in common. Which would be a:b:c:d = 8:12:15:20

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2 years ago

Brainliest to correct answer

qwelly [4]

Answer:

y = 0.35x

Step-by-step explanation:

Janet ⇒ 3 postcards ⇒ $1.05

Cost of postcard: 1.05/3 = $0.35

Rosi ⇒ 5 postcards ⇒ $1.75

Cost of postcard: 1.75/5 = $0.35

Tanya ⇒ 8 postcards ⇒ $2.80

Cost of postcard: $2.80/8 = $0.35

We see in all 3 cases cost of postcard is same, the cost and numbers are proportional and the relationship is:

y = 0.35x

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3 years ago

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The standard diameter of a golf ball is 42.67 mm. A golf ball factory does quality control on the balls it manufactures. Golf ba

sergiy2304 [10]

THE ANSWER IS A:

This is the function:

f(x)=|42.67-x|.

42.670 -.002 =42.668

42.668 mm to 42.670

Explanation:

Production will be stopped if the difference in diameter is greater than 0.002 mm.

This difference can mean that the golf ball has a diameter more than 0.002 larger than 42.67 mm, or a diameter more than 0.002 smaller than 42.67. This is the reason for using an absolute value function.

Absolute value represents the distance a number is from 0. For this function, we would want only the values where the function is less than 0.002.

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2 years ago