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erma4kov [3.2K]
3 years ago
15

Responses to a survey question about eye color are coded as 1 (for brown), 2 (for blue), 3 (for green), 4 (for hazel), and 5 (fo

r any other color). Does it make sense to find the mean, median, or mode of the coded eye colors
Mathematics
1 answer:
Naddik [55]3 years ago
8 0

Answer:

  • Me labpelakdhvsa+x xchf
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I can’t figure this out at all, please help me!
Sidana [21]

The Bell Curve aka Normal Distribution aka Gaussian is important stuff that everybody functioning in modern society should understand at least up to the 68-95-99.7 rule.

A normal distribution is characterized by a mean μ and a standard deviation σ.  The distribution has the characteristic bell shape, with the center of the bell at x=μ.  

The value of σ says how wide the bell is.  That's where the 68-95-99.7 rule comes in.  The first value, 68, means that 68% of the area of the bell curve is   contained in plus or minus one standard deviation.  That means there's a 68% chance a random x drawn from this distribution is between μ-σ and μ+σ.

The 95 means that 95% of the area of the bell within two standard deviations of the mean.  A random x has a 95% chance of being between μ-2σ and μ+2σ.

It's the same story for 99.7% except that encompasses everything within three standard deviations of the mean.

Now let's answer the question. We have μ=10, σ=1.5.

a.  We want a 95% probability, which we learned is within two standard deviations, two sigma of the mean.   So the lower bound is 10 - 2(1.5) = 7 and the upper bound is 10 + 2(1.5) = 13.

Answer: 7 to 13

b.  We're asked for 68%; we know that's one sigma, from 10-1.5 to 10+1.5.

Answer: 8.5 to 11.5

4.

μ=72, σ=2

a.

We want P(x < 68)

In general to do these sorts of problems we convert our x test on the particular normal distribution given to a z test on a standard normal distribution with mean zero and standard deviation one.

z = (x - μ)/σ = (68 - 72)/2 = -2

We're interested in P(z < -2), i.e. the probability we landed more than two standard deviations below the mean.  The 68-95-99.7 rules says 95% is between plus or minus two sigma, which leaves 5%, split equally between being less than minus two sigma and more than plus two sigma.

Answer: 2.5%

b.

I forgot to answer part b.  Here we go.

Between 70 and 72 inches is between -1 standard deviation below the mean and the mean.  So we want the area of the bell curve between z=-1 and z=0.   That's half of the 68% that we get when we go from z=-1 to z=1.

Answer: 34%

8 0
3 years ago
The equation for the pH of a substance is pH = -log[H'], where H+ is the concentration of hydrogen ions. A basic
scoundrel [369]

Answer:

9 (approximately)

Step-by-step explanation:

Approximate difference

= pH of basic solution - pH of acidic solution

= 11.2 - 2.4

= 8.8

= 9 (approximately)

7 0
3 years ago
Read 2 more answers
How do u skip count in 3
Reika [66]
3. 6. 9. 12. 15. 18. 21. 24. 27. 30. 33. 36.
5 0
3 years ago
Read 2 more answers
45% of all 1st graders at Sierra Elementary School are female students. This year there are 54 female 1st graders at Sierra Elem
Anit [1.1K]

Answer:

There are 120 1st graders at Sierra Elementary School this year

Step-by-step explanation:

Let n represent the total number of 1st graders at Sierra Elementary School

Since 45% of all 1st graders at Sierra Elementary School are female students and this year there are 54 female 1st graders, 45% of n is equal to 54

→ n(\frac{45}{100}) = 54

→ 45n = 5400

→ n = 120

3 0
3 years ago
Read 2 more answers
How is the quotient of 3,419 and 11 determined using an area model? Enter your answers in the boxes to complete the equations. 3
Ipatiy [6.2K]

The quotient of 3,419 and 11 is 310.81.

<h3>How to illustrate the information?</h3>

It should be noted that from the information given, we are to find the quotient of 3,419 and 11 determined using an area model.

It should be noted that this simply means the division of the values given. This will be:

= 3419/11

= 310.81

Therefore, the quotient of 3,419 and 11 is 310.81.

Learn more about quotient on:

brainly.com/question/11916238

#SPJ1

6 0
1 year ago
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