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kotykmax [81]
3 years ago
7

What is the mean absolute deviation of the data set? {12, 17, 12, 8, 6} A: 3.2 B: 5.5

Mathematics
2 answers:
iris [78.8K]3 years ago
5 0

Answer:

the answer is 3.2

Mariulka [41]3 years ago
4 0
Add all the numbers in the data set to get 55. them divide by 5 to get 11, which is the average or the mean. then find the deviation of each number in the data set. in other words, subtract the mean from each number in the data set.
so, for the
1st #--> 1
2nd #--> 6
3rd #--> 1
4th #--> 3
5th #--> 5
add all these numbers up to get 16 and then divide it by 5 to get 3.2 as the mean absolute deviation.

Hope this helped :-)
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Determine the simple interest that is<br> accured on $.5500 for five years at<br> a rate of 8.5%.
Alex73 [517]

Answer:

$2337.5

Step-by-step explanation:

5500x5x8.5/100

=$2337.5

4 0
3 years ago
Find the value of the trigonometric ratio.<br> 9) sin z
azamat

Answer:

SinZ=24/40 = 12/20 = 3/5

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3 0
3 years ago
The mean weight of an adult is 69 kilograms with a variance of 121. If 31 adults are randomly selected, what is the probability
amid [387]

Answer:

0.2236 = 22.36% probability that the sample mean would be greater than 70.5 kilograms.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Also, important to remember that the standard deviation is the square root of the variance.

Normal probability distribution:

Problems of normally distributed samples are solved using 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.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 69, \sigma = \sqrt{121} = 11, n = 31, s = \frac{11}{\sqrt{31}} = 1.97565

What is the probability that the sample mean would be greater than 70.5 kilograms?

This is 1 subtracted by the pvalue of Z when X = 70.5. So

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

By the Central limit theorem

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

Z = \frac{70.5 - 69}{1.97565}

Z = 0.76

Z = 0.76 has a pvalue of 0.7764

1 - 0.7764 = 0.2236

0.2236 = 22.36% probability that the sample mean would be greater than 70.5 kilograms.

8 0
3 years ago
Help me please <br> i need help lol
Dmitriy789 [7]

Answer:

<3 and <4 are supplementary

Step-by-step explanation:

<3 and <4 form a linear pair, so they are supplementary (=180 degrees)

8 0
3 years ago
The shoe store's clerks are paid on commission. If the clerk receives a 12% commission on total purchase amounts before tax is a
aev [14]

Answer:

a) 37 + 42 =79

=7/100 x 79

=553/100

=5.53

Isaac's total bill = 79 + 5.53 = $84.53

b) 25/100 x 79

= 19.75

= 79 - 19.75

= $59.25 (before tax)

7/100 x 59.25

= 414.75/100

= 4.15

= 59.25 + 4.15

= $63.4 (after adding tax)

First we have to take out the percentage of discount and minus it from the total cost . To find the discounted price with tax, we have to take out the percentage of the tax from the discounted amount and add it to the discounted amount to get the total cost.

3 0
3 years ago
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