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1 year ago

Which data set is the most spread from its mean?

Mathematics

1 answer:

spin [16.1K]1 year ago

7 0

Option B (22,16,18,36)

Mean- Mean is an average of the data collected in the data set. It can be found by dividing the sum of the values by the number of values. Median is the middle value of the data set when the values are placed in order from least to greatest.

It is easy to calculate: add up all the numbers, then divide by how many numbers there are.

Add all the numbers (22+16+18+36) = 92

Avarage = sum of the all given numbers/ total numbers

total numbers =4

so avarage= mean= 92/4 =23

(22,16,18,36) has the most spread because one number as low as 16 and one as high as 36. Our mean is 23, so that means that the spread is huge.

Hence the answer is (22,16,18,36).

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On a measure of artistic abilities the mean for college students in New Zealand is 150 and a standard deviation is 25 give the Z

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The method for computing a z-score is $\bold{z = \frac{(x-\mu)}{\sigma}}$ , where x is the crude score, $\bold{\mu}$ is the mean population, and $\bold{\sigma}$ seems to be the <em><u>standard population difference.</u></em>

The Z value of x is a number $\bold{\frac{(x - \text{mean(series))}}{\text{SD(series)}}}$ are defined where SD is the standard deviation.
Here, we consider series as scores of students of colleges in New Zealand for their artistic abilities.

$\bold{\bar{x}=150}\\\\ \bold{\sigma=25}$

following are the calculation of the Z scores:

$\to \ (a)\ 100:\ \text{Z score}=\frac{(100-150)}{25}= \frac{(-50)}{25} = -2\\\\\to \ (b)\ 120:\ \text{Z score}=\frac{(120-150)}{25}= \frac{(-30)}{25} = -1.2\\\\\to \ (c)\ 140:\ \text{Z score}=\frac{(140-150)}{25}= \frac{(-10)}{25} = -0.4\\\\\to \ (a)\ 160:\ \text{Z score}=\frac{(160-150)}{25}= \frac{(10)}{25} = 0.4\\\\$

Using formula:

$\to \text{Raw score = Mean(series) +Z score} \times \text{SD(series)}$

Calculating the Raw scores:

$\text{(e) -1: Raw score= 150 +(-1)} \times 25 = 125 \\\\\text{(f) -0.8: Raw score= 150 +(-0.8)} \times 25 = 130\\\\\text{(e) -0.2: Raw score= 150 +(-0.2)} \times 25 = 145\\\\\text{(e) 1.38: Raw score= 150 +(1.38)} \times 25 = 184.5\\\\$

Learn more:

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Which parallelograms have perpendicular diagonals? rectangle, rhombus square, rhombus square, rectangle none.

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<h3>Answer: Rhombus and square</h3>

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Any rhombus has its diagonals meet at 90 degree angles. The proof for this is a bit lengthy, so I'll let you handle it. The basic idea is to draw in the diagonals, which forms smaller triangles. Proving those triangles to be congruent leads to supplementary congruent angles, which in turn leads to the 90 degree angles needed.

A square is a special type of rhombus where all four angles are the same (each 90 degrees). Put another way, a square is both a rectangle and a rhombus at the same time.

Some rectangles are not squares, so the non-square rectangles will have the diagonals not be perpendicular.

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