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2 years ago

What is the upper quartile of the following set 28, 45, 12, 34, 36, 45, 19, 20

Mathematics

2 answers:

Nataly_w [17]2 years ago

8 0

Answer:

Q3 = 40.5

Step-by-step explanation:

The first step to solve your exercise is ordering all the elements of the data set.

So the ordered data set is:

12, 19, 20, 28, 34, 36, 45, 45

The upper quartile is the median of the upper half of a data set. Mathematically, the upper quartile is the term at the position P defined by the equation below

$P = \frac{3(n+1)}{4}$

This exercise data-set has a cardinality of 8, so n = 8.

$P = \frac{27}{4}$

However, P = 6.75. When the decimal part is .75, we subtract .25, so P = 6.50.

So, the upper qurtily is the average between the 6th and 7th terms in the ordered set.

Uq = Q3 = (45+36)/2 = 40.5

Mariulka [41]2 years ago

7 0

Answer:

40.5

Step-by-step explanation:

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According to a study in a medical journal, 202 of a sample of 5,990 middle-aged men had developed diabetes. It also found that m

tekilochka [14]

Answer:

0.0588 = 5.88% probability that a middle-aged man with diabetes is very active

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Has diabetes.

Event B: Is very active.

Probability of having diabetes:

To find this probability, we take in consideration that:

It also found that men who were very active (burning about 3,500 calories daily) were a fourth as likely to develop diabetes compared with men who were sedentary. Assume that one-fifth of all middle-aged men are very active, and the rest are classified as sedentary.

So the probability of developing diabetes is:

x of 4/5 = x of 0.8(not active)

x/4 = 0.25x of 1/5 = 0.2(very active). So

$P(A) = 0.8x + 0.25*0.2x = 0.85x$

Probability of developing diabetes while being very active:

0.25x of 0.2. So

$P(A \cap B) = 0.25x*0.2 = 0.05x$

What is the probability that a middle-aged man with diabetes is very active?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.05x}{0.85x} = \frac{0.05}{0.85} = 0.0588$

0.0588 = 5.88% probability that a middle-aged man with diabetes is very active

4 0

2 years ago

Suppose you were exploring the hypothesis that there is a relationship between parents’ and children’s party identification. Wou

alukav5142 [94]

Answer:

It could be purely due to chance.

Step-by-step explanation:

A population is defined as the whole group which has the same characteristics. For example a population of the college belongs to the same college . But a sample may be an element of a population.

So it is not necessary for a population to have the same characteristics as the sample.

But it is essential for the sample to have at least one same characteristics as the population.

So we would not be correct in inferring that such a relationship also exists in the population.

It is a hypothesis which can be true or false due to certain conditions or limitations as the case maybe.

For example in a population of smokers some may be in the habit of taking cocaine. But a sample of cocaine users does not mean the whole population uses it.

It could be purely due to chance if we find out that there is a relationship between parents’ and children’s party identification in the population.

7 0

2 years ago

In a large city, 46% of adults support the local football team building a new stadium. If a poll is taken from a random sample o

Sveta_85 [38]

Answer: 0.46, 0.056, the distribution is approximately normal

Step-by-step explanation: The shape is approximately normal since the expected number of successes equals 36.8 and the expected number of failures equals 43.2 are both larger than 10

7 0

2 years ago

NEED HELP ASAP!!

juin [17]

The answer is C.

Note when Soro divides both sides by -2.5 to solve the equation. When multiplying/dividing by a negative number, one should always reverse the inequality sign, but Soro forgot to do this.

-2.5x≥-30

After this step, the answer SHOULD HAVE been:

x≤12

Let me know if you need any clarifications, thanks!

8 0

2 years ago

Read 2 more answers

RESTAURANT MANAGEMENT

yan [13]

Answer:

33%

Step-by-step explanation:

3 0

1 year ago