# Commenting on classmates discussions on Descriptive Measures

I need support with this Mathematics question so I can learn better.

Response posts: Using the five-number summary posted by a classmate, construct a boxplot to represent the data. From this graphical representation, what conclusions can you draw about the shape of the distribution? Be sure to ask questions and offer suggestions.

Classmate # 1 Matt

You are a teacher for SNHU and your math class has 15 students. They just accomplished there final exam here are the results:
91 95 54 69 80 85 88 73 71 70 66 90 86 84 73
Step 1:Order the data points from least to greatest.
54 66 69 70 71 73 73 80 84 85 86 88 90 91 95
Step 2:Find the minimum and maximum for your data set.
54 and 95
Step 3: Find the median of the data (Find The middle point):
Since we know that we have 15 students, and we have ordered there scores from least to greatest,we know that we will for sure have a middle point so there will be 7 students one side of our median and then 7 students on the other side of our median. So our median is 80.
Step 4:Place parentheses around the numbers above and below the median.
(This is not technically necessary, but it makes Q1(Lower Quartiles) and Q3(Upper Quartile) easier to find).
We are basically, finding the medians of both sides.
(54,66,69,70,71,73,73) (80) (84,85,86,88,90,91,95)
Q1(Lower Quartile) = 70
Q3(Upper Quartile) = 88
Answer:

Lower Extreme – 54

Upper Extreme – 95

Median value – 80

Lower Quartile – 70

Upper Quartile – 88

Classmate # 2 John

UI Death rate per 100,000 descending order so the highest is at the top.

State per 100,000

Wyoming 9.56
Montana 7.19
North Dakota 6.60
South Carolina 6.07
Mississippi 5.86
Louisiana 5.23
Alabama 5.08
Arkansas 4.99
South Dakota 4.97
Texas 4.75
New Mexico 4.71
Kentucky 4.33
Oklahoma 4.33
Delaware 4.31
Idaho 4.16
North Carolina 4.05
Arizona 3.92
Maine 3.91
West Virginia 3.88
Florida 3.87
Tennessee 3.79
Oregon 3.79
Missouri 3.68
Georgia 3.55
Nebraska 3.41

Five-number Summary

minimum = 3.41

lower quartile = 3.875 0r 3.88 rounded 0.25 x n .25 x 25 = 6.25, which lies between 6 and 7 so we average those.

West Virginia 3.88
Florida 3.87

(3.88 + 3.87)/2=3.875

median = 4.33 ((n+1)/2) ((25+1)/2) = 13 which is “Oklahoma 4.33”

upper quartile = 5.035 or 5.04 rounded 0.75 x n . .75 x 25 = 18.75, which lies between 18 and 19 so we average those.

Alabama 5.08
Arkansas 4.99

(5.08 + 4.99)/2 = 5.035

maximum = 9.56

https://backgroundchecks.org/which-states-have-the-worst-dui-problems.html

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Commenting on classmates discussions on Descriptive Measures

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