I NEED HELP NOW!!!!! The data to represent average test scores for a class of 16 students includes an outlier value of 78. If the outlier is included, then the mean is 84. Which statement is always true about the new data when the outlier is removed? The mean would decrease
. The mean would increase.
The median would decrease.
The median would increase.

Answers

Answer 1

Answer:

The median would decrease. The correct option is C.

What is the median?

The average is the value obtained by dividing the sum of the data values by the number of data points, and the median is the midpoint of the given data points. However, for evenly spaced numbers like 2, 4, 6, 8, and 10, the median and average, or 6, are the same.

There are 16 observations in total in this question, and their average is 80. An anomaly with the value 91 exists. This demonstrates that the outlier is greater than the mean. The mean formula is:

Mean = Sum of observations/Number of Observations.

The sum of observations can be calculated by substituting the values in the above formula.

80 = Sum/16.

Sum = 80*16 = 1280.

Subtracting 91 from the total sum will give the sum of the rest of the 15 non-outlier values. Therefore 1280 - 91 = 1189.

Calculating the mean of the 15 values:

Mean = 1189/15 = 79.267 (correct to 3 decimal places).

It is evident that eliminating the outlier lowers the mean. As a result, C is the right response. Since actual values are needed to calculate the median but are missing, the information about the median cannot be determined. C is therefore the right answer.

To know more about the median follow

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Answer 2

Answer:

Answer:

Option C (The mean would decrease).

Step-by-step explanation:

In this question, there are 16 observations and their mean is 80. There is an outlier which has the value 91. This means that the outlier is on the greater side of the mean. The formula for mean is:

Mean = Sum of observations/Number of Observations.

Sum of observations can be calculated by substituting the values in the above formula.

80 = Sum/16.

Sum = 80*16 = 1280.

Subtracting 91 from the total sum will give the sum of rest of the 15 non-outlier values. Therefore 1280 - 91 = 1189.

Calculating the mean of the 15 values:

Mean = 1189/15 = 79.267 (correct to 3 decimal places).

It can be seen that removing the outlier decreases the mean. Therefore C is the correct answer. The information regarding the median cannot be determined since actual values are not present, which are required to calculate the median. Therefore, C is the correct choice!!!

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Solve the equation for x. 2(2x - 4) = 3(x + 4) a. -4 c. 20 b. 4 d. 6

Answers

Answer:

$\mathrm{C}$

Step-by-step explanation:

$2(2x - 4) = 3(x + 4)$

$4x-8=3x+12$

$4x-3x=12+8$

$1x=20$

$x=20$

Answer:

the correct answer is 20. Option C

Step-by-step explanation:

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4x-8=3x+12

x=12+8

x=20

Write each number in standard form 8,000,000+300+9

Answers

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A circle has a diameter of 12 inches. what is the area of the shaded section. use 3.14 as pi. no a,b,c,d just an exact answer thanks

Answers

Answer:

Area of shaded section is 113.04

Step-by-step explanation:

Area of circle is calculated by formula $A=\pi r^(2)$ .

where 'r' is radius.

here given diameter is 12 inches .

so radius is calculated as $r=(d)/(2)=(12)/(2)=6$

and value of $\pi$ is 3.14

so, Area is ;

$A=\pi r^(2)$

Put value of $\pi =3.14$ and r=6 inches

$A=3.14*6^(2)$

$A=3.14*36$

$A=113.04$

Hence, area of shaded section is 113.04

A = pi r ^2
A = 3.14(6^2)
A= 3.14 (36)
A = 113.04

Write an equation of the line that passes through (−4, −9) and is parallel to the line y=4x .

Answers

Answer:

y = 4x + 7

Step-by-step explanation:

parallel = same slope

y = 4x + b

plug in (-4, -9)

-9 = 4(-4) + b

-9 = -16 + b

b = 7

y = 4x + 7

Answer:

7=4x+7

Step-by-step explanation:

To do this you would just plug in (-4,-9) into the equation y=mx+b so we would get -9=4(-4)+b when you simplify you will get -9=-16+b so we would add 16 to both sides and we would get 7=b so we would know that the y intercept is 7 and we know that if a line is parallel to another line is just has a different b so for our equation we would get 7=4x+7

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Answers

Answer:

Step-by-step explanation:

The last line of your solution is incorrect. You cannot divide that '6' by '2' and not also divide '-3√2' by '2.'

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