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Andrews [41]
3 years ago
10

Which distribution has the greatest spread

Mathematics
1 answer:
Sauron [17]3 years ago
4 0

For solving this question we will use the relationship between the range of data and the spread of data. The relationship is that "Higher the Range of the Data, Higher is the Spread and lower the range of the data then lower is the spread".

So, keeping in mind this definition let us proceed and check each option and measure their range.

We know that Range is measured as

Range=(Highest Value of the Data)-(Lowest Value of the Data)

a. 13.7-3.1=10.6

b. 423.6-1.3=422.3

c. 38.4-7.2=31.2

d. 231.4-5.5=225.9

As we can see Option b. has the largest range and as range is a measure of spread then option b is the distribution which has the largest spread.

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2. Choose the correct measurement of the paper clip to the nearest 1/8 inch.
Korolek [52]

Answer: 1 3/8 inches.

5 0
2 years ago
Read 2 more answers
The price of a movie ticket at the theater is $7 for students. The price is higher for adults. A group of 4 students and 3 adult
Marat540 [252]

Given:

Student ticket price = $7

A group of 4 students and 3 adults paid $64  in all for movie tickets.

To find:

Each of the adult ticket cost.

Solution:

Let x be the cost of each adult ticket.

Then, cost of 3 adult tickets = 3x.

Cost of 1 student ticket = $7

Cost of 4 student ticket = $7(4)

According to the question,

7(4)+3x=64

28+3x=64

3x=64-28

3x=36

Divide both sides by 3.

x=12

Therefore, the cost of each adult ticket is $12.

6 0
3 years ago
Amanda walked 2.5 miles to the post office and another 1.6 miles to the park then she walked home following the same route how f
adell [148]
2.5+2.5+1.6+1.6= 8.2 miles

Hope this helps!
8 0
3 years ago
Duck #1 lays eggs whose weights are normally distributed with a mean of 70gramsand a standard deviation of 6 grams.Duck #2 lays
Genrish500 [490]

Answer:

26.11% probability that Duck #2’s egg weighs more than Duck #1’s egg

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

If an egg is randomly chosen from each duck, what is the probability that Duck #2’s egg weighs more than Duck #1’s egg?

Duck #2 egg will weigh more if the subtraction of duck's 2 egg by duck's 1 egg is larger than 0.

When we subtract normal distributions, the mean is the subtraction of the means. So

\mu = 65 - 70 = -5

The standard deviation is the square root of the sum of the variances. So

\sigma = \sqrt{6^2+5^2} = \sqrt{61} = 7.81

Now, we have to find 1 subtracted by the pvalue of Z when X = 0. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{0 - (-5)}{7.81}

Z = 0.64

Z = 0.64 has a pvalue of 0.7389

1 - 0.7389 = 0.2611

26.11% probability that Duck #2’s egg weighs more than Duck #1’s egg

4 0
3 years ago
Adult male heights have a normal probability distribution with a mean of 70 inches and a standard deviation of 4 inches.
nexus9112 [7]

Answer: 0.84134

Step-by-step explanation:

We need to find the z-score for the given information first since this will help us find the probability. The formula for this is

Z score = \frac{x - \mu}{\sigma}

We have

x = 66 inches (the raw score)

\mu = 70 inches (the population mean)

\sigma = 4 inches (the standard deviation)

This gives

Z score = \frac{x - \mu}{\sigma} = \frac{66-70}{4} = -1

If you use a calculator, or a Z-score table then P(x > Z) is just P(Z > -1) which gives a probability of 0.84134.

7 0
2 years ago
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