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S_A_V [24]
3 years ago
8

In a statistics​ class, the standard deviation of the heights of all students was 3.8 inches. The standard deviation of the heig

hts of males was 3.3 inches and the standard deviation of females was 3.1 inches. Why is the standard deviation of the entire class more than the standard deviation of the males and females considered​ separately?
Mathematics
1 answer:
goblinko [34]3 years ago
4 0

Answer:

The reason why standard deviation of the entire class is greater than standard deviation of males and females considered separately, is that mean values for males and females are different from each other.

Step-by-step explanation:

The concept of mean is well represented by the following formula

mean = \frac{(x1 + x2 + x3 + ..... + xn)}{N}, where x1, x2, xn are the observations and N is the number of observations (population).

Standard deviation represents the distance between each observation and the mean of the population (all observations). The formula for this parameter is:

Standard deviation =√[((x1 - x)² + (x2-x)² + ....+ (xn-x)²)/N-1], where x1, x2,..., xn are the observations and x is the mean value.

In this case you have that each height registered is an observation and the number of observations represents the N value. As you can see if the mean for males is different from that of females their standard deviation will be different too. Usually males have heigths greater than that of females (1.77 vs 1.64, in USA for example), and heights inside each group will be more similar than between groups. Then, when you mix all observation there will be an increase in standard deviation, because you are mixing very different heigths

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Step-by-step explanation:

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6 0
3 years ago
A store pays $365.84 for a fountain. The store marks up the price by 10%.
Ann [662]

Answer:

The store marks up the fountain by adding $ 36.58 to its original cost, bringing its retail price to $ 402.42.

Step-by-step explanation:

Given that a store pays $ 365.84 for a fountain, and then the store marks up the price by 10%, to determine the amount of the mark-up the following calculation must be performed:

365.84 x 10/100 = X

3,658.4 / 100 = X

36,584 = X

36.584 + 365.84 = 402.424

Thus, the store marks up the fountain by adding $ 36.58 to its original cost, bringing its retail price to $ 402.42.

4 0
3 years ago
2x - 11 = -8x + 14<br> Simplify
Sauron [17]

Answer:

x = 2.5

Step-by-step explanation:

2x - 11 = -8x + 14

Add 8x to both sides

10x - 11 = 14

Add 11 to both sides

10x = 25

Divide both sides by 10

x = 2.5

7 0
3 years ago
Read 2 more answers
What is the minimum amount of saran wrap that Tyler will need to cover the pencil holder, to ensure that no sand leaks out? *
liberstina [14]

Answer:

e

Step-by-step explanation:

To find the surface area of the triangular prism, you need to find the area of all the sides and add them together. The two triangular bases have already been established to have an area of 3 square units each, so together they have an area of 6 units. Two of the rectangular sides have dimensions of 3.5 by 2.5 units, while one has dimensions 3.5 by 3 units. Adding all of this together, you get a total of 34 square inches, or option e. Hope this helps!

7 0
3 years ago
Andrew is selling tickets for the school play, and charges t dollars for adult tickets and 2 dollars for child tickets. On Monda
Andru [333]

Answer:

T=4 plz make brainlest answer

Step-by-step explanation:

Monday overall cost 36+5t

Tuesday overall cost 20+9t

36+5t=20+9t

-20 -20

16+5t =9t

-5t -5t

16=4t

t=4

Check

36+5t=20+9t (t=4)

36+20=20+36

It works

3 0
3 years ago
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