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serg [7]
2 years ago
5

Distributions and Comparing Data Project

Mathematics
1 answer:
LenKa [72]2 years ago
4 0

Answer:

1. The shape of the histogram created with MS Excel is approximately bell shaped and approximately evenly spread about the central (largest counts) values

The shape of the box plot created with MS Excel is approximately evenly distributed

2. The appropriate measure of central tendency for a bell shaped histogram is the mean and median, due to the approximately equal distribution about the highest frequency class

3. Part A

The 15 numbers between 1  and 20 generated by a random generator are;

1, 8, 8, 15, 4, 18, 11, 6, 17, 1, 18, 15, 10, 12, 11

The measure of center is the mean =  (1+8+8+15+4+18+11+6+17+1+18+15+10+12+11)/15 = 155/15 = 31/3

The measure of spread used is the variance, s² = 32.38

Where, \,s^2 =\dfrac{\sum \left (x_i-\bar x  \right )^{2} }{n - 1}

{\sum \left (x_i-\bar x  \right )^{2} } = 453.333

n = 15

s² = 453.\overline 3/(15 - 1) = 32.38

Part B

The measure of central tendency are the mean and the median because the size of the data (n = 15), is 75% of the population (N = 20) nd therefore the data is approximately normal and can be represented by the mean and the standard deviation

Step-by-step explanation:

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Hello there!

First, we need to admit that math is a hard subject. So, how do we handle hard stuff? We find an easy way. Right?

Well same goes here. They give the fractions to drive us crazy. Let's find the easiest way...

The easiest way is to turn them into decimals.
1 3/7 = 1.42 which is the amount of pages he reads
2/3 = 0.67 minute.

The are asking us how many pages does he reads per minute.

So we gonna say:
Charlie reads 1.42 pages ......> 0.67
Charlie reads x pages.............> 1minute

Cross multiply

0.67 * x = 1 * 1.42
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x = 1.42/0.67
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So, Charlie reads 2.11 pages in 1 minute.


I hope this helps. Please let me know if you have questions about the answer.

Thanks!


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