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Alexxandr [17]
3 years ago
7

Please provide explanation

Mathematics
1 answer:
umka2103 [35]3 years ago
8 0

Answer:

27

Step-by-step explanation:

3^2*(2^3+4)

-------------------

2^2

Parentheses first

(2^3+4) = (8+4) = 12

Replace the parentheses

3^2*(12)

-------------------

2^2

Then Exponents

9*(12)

-------------------

4

Multiply

108

-----

4

Divide

27

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Step-by-step explanation:

Original data: 21 29 32 38 38 45 50 64 72 100

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And if we replace we got:

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The mean is calculated with the following formula:

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And if we replace we got:

\bar X = \frac{2+29+32+38+38+45+50+64+72+100}{10}=47

The mode is the most repeated value in the sample and on this case is Mode =38.

Since we have an even number of points the median is calculated as the average between the observations 5 and 6 from the dataset ordered.

Median = \frac{38+45}{2}=41.5

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The mean is calculated with the following formula:

\bar X = \frac{\sum_{i=1}^{9} X_i}{9}

And if we replace we got:

\bar X = \frac{29+32+38+38+45+50+64+72+100}{9}=52

The mode is the most repeated value in the sample and on this case is Mode =38.

Since we have odd number of points the median is calculated from the 5 position of the dataset ordered.

Median = 45

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