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oksano4ka [1.4K]
3 years ago
14

Below are the jersey numbers of 11 players randomly selected from a football team. Find the range, variance, and standard deviat

ion for the given sample data. What do the results tell us? 33 29 97 56 26 78 83 74 65 47 58 Range = (Round to one decimal place as needed.) Sample standard deviations ? = (Round to one decimal place as needed) Sample variance = (Round to one decimal place as needed) What do the results tell us? a. Jersey numbers are nominal data that are just replacements for names, so the resulting statistics are meaningless. b. Jersey numbers on a football team vary much more than expected c. The sample standard deviation is too large in comparison to the range. d. Jersey numbers on a football team do not vary as much as expected.
Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
6 0

Answer:

Range = 71

Variance = 546.0

Standard Deviation = 23.4

Option A) Jersey numbers are nominal data that are just replacements for names, so the resulting statistics are meaningless.

Step-by-step explanation:

We are given the following data set in the question:

33, 29, 97, 56, 26, 78, 83, 74, 65, 47, 58

Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

\text{Variance} = \displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{646}{11} = 58.7

Sum of squares of differences = 5460.18

\text{Variance} = \frac{5460.18}{11} = 546.0

S.D = \sqrt{\frac{5460.18}{10}} = 23.4

Sorted Data Set: 26, 29, 33, 47, 56, 58, 65, 74, 78, 83, 97

Range = Maximum - Minimum

Range = 97 - 26 = 71

Based on the values, we can say that

Option A) Jersey numbers are nominal data that are just replacements for names, so the resulting statistics are meaningless.

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I need help with this problem
alexandr402 [8]

Answer:

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Step-by-step explanation:

Your goal here is to REDUCE the given expression to simplest terms.

One way in which to approach this problem would be to rewrite (2x^2y^10)^3 as:  (2x^2*y^8)*y^2*(2x^2*y^10)^2.

Dividing this rewritten expression by 2x^2*y^8 results in:

y^2(2x^2*y^10)^2.

We now need to raise (2x^2*y^10) to the power 2.  Doing this, we get:

4x^4*y^20.

Multiply this by y^2 (see above):

y^2*4x^4*y^20

The first factor is 4:  4y^2*x^4*y^20.  This is followed by the product of y^2 and y^20:                   4*y^22*x^4

Finally, this should be re-written as

                                    4*x^4*y^22

Another way of doing this problem would involve expanding the numerator fully and then cancelling out like factors:

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----------------- = ------------------ = 4*x^4*y^22

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2 years ago
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Answer:

Each hat is $5

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Step-by-step explanation:

Hat= x dollars

Mask= y dollars

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Adding the second equation (-1 times 1st equation) gives us;

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3x + 6y = 33

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3x + 4y = 27

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3 years ago
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What’s the linear equation for (1,21)(2,33)(3,45)(4,57)
nalin [4]

The linear equation representing the above said pair of points is "y=12x+9"

Step-by-step explanation:

The given set of points are  

x Y

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2 33

3 45

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For finding the linear equation for the given sets of value

We must know the generic form of a linear equation is y=m*x + c

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we put slope “m” in the equation which becomes y=12x+c

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