Hi please help with a few (mean, median) math questions!1. A student wants to report on the number of movies her friends watch each week. The collected data are below:

1ST PIC ATTACHMENT

Which measure of center is most appropriate for this situation and what is its value?
Median; 1.5
Median; 3
Mean; 1.5
Mean; 3


2. If the outliers are not included, what is the mean of the data set?

76, 79, 80, 82, 50, 78, 83, 79, 81, 82

77
78
79
80

3. Given the box plot, will the mean or the median provide a better description of the center?

2ND PIC ATTACHEMENT

The mean, because the data distribution is symmetrical
The mean, because the data distribution is skewed to the left
The median, because the data distribution is skewed to the left
The median, because the data distribution is skewed to the right

4. When the outliers are removed, how does the mean change?

3RD PIC ATTACHEMENT

The mean remains the same.
The mean decreases by 2.
The mean increases by 2.
There are no outliers.
hi please help with a few (mean, median) math questions! - 3

Answers

Answer 1
Answer: 1.rearrange your data from least to greatest:
0,0,1,1,2,2,2,14 

middle is 1 and 2 ... so median is 1+2/2= 1.5 and  it is the  median not the mean
2.I believe the only outlier is 50. Finding the mean would be 80.11.
The answer would be D
3.D. Mean always goes toward the skewness due to outliers.
Median is minimally affected by outliers.
4.
We remove an outlier because we can simply assume that there was some type of extreme experimental error, or something went wrong. The mean shouldn't be effected that much, but the median will be greatly effected.

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A store manager timed Janette to see how long it would take her to fold and put away a sweater, a shirt, a pair of pants, and a scarf. It took her 26.1 seconds for the shirt, 24.3 seconds for the sweater, 32.8 seconds for the pants, and 18.2 seconds for the scarf. What was the average time it took Janette to fold and put away all four items

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Average time is the sum of the individual times divided by the number of items.
i.e. (24.3+32.8+18.2)/3

Answer:

25.4 seconds

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Step-by-step explanation:

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9! - 5!
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One day a store sold 30 sweatshirts. White ones cost $11.95 and yellow ones cost$11.50. In all, $349.95 worth of sweatshirts were sold. How many of each color were sold?

Answers

With this, I would use a guess and check method.
Start by splitting them half.
$11.95x15 sweatshirts = $179.25
$11.50x15 sweatshirts = $172.50
Then you add the totals to see how close you are.
$197.25+$172.50=$351.75
That's a little high. so we'll shift the amount of sweatshirts.
$11.95x14 sweatshirts= $167.30
$11.50x16 sweatshirts= $184.00
And add the totals again.
$167.30+184.00= $351.30
Closer, but too high still, so we'll shift it more in the direction we're going.
$11.95x11 sweatshirts = $131.45
$11.50x 19 sweatshirts = $218.50
Once again, add the totals to check if it matches.
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ind the equation of a line perpendicular to y - 3x = – 8 that passes through the point (3, 2). (answer in slope-intercept form)

Answers

we have that
Find the equation of a line perpendicular to y - 3x = – 8 that passes through the point (3, 2)
y - 3x = – 8-----> y=3x-8------> the slope m=3

we know that
if two lines are perpendicular 
then
m1*m2=-1
m1=3
so
m2=-1/3

with m=-1/3 and point (3, 2) find the equation of the line
y=mx+b
2=(-1/3)*3+b------> 2=-1+b-----> b=3

the equation of the line is
y=(-1/3)x+3

the answer is
y=(-1/3)x+3

see the attached figure

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