Question
MATH225 Statistical Reasoning for the Health Sciences
Week 3 Assignment Understanding Measures of Central Tendency
Question The following dataset represents the math test scores for a class of 20 students.
90, 60, 85, 100, 100, 90, 100, 75, 100, 95, 95, 85, 30, 100, 40, 15, 100, 90, 70, 80
Identify the best measure of central tendency for this dataset.
the mode, 100
the mean, 80
the median, 95
the median, 90
the mean, 85
Question The following dataset represents the dollar amounts of donations collected at the entrance to a free museum during one hour.
Donation Amount (\$)     Frequency
1              1
5              5
10           3
15           1
600         1
Is the median a reasonably good measure of central tendency for this dataset? What if the outlier were removed from consideration?
The median is a good measure regardless of whether the outlier is included.
The median is a very poor measure regardless of whether the outlier is included.
The median is a good measure when the outlier is included, but it would be a very poor measure if the outlier were removed from consideration.
The median is a very poor measure when the outlier is included, but it would be a good measure if the outlier were removed from consideration.
Question The following histogram shows the monthly rents reported in a survey of university students. Which of the following would be a reasonable measure of central tendency for this dataset? Select all that apply.
A histogram has a horizontal x-axis labeled Rent in dollars from 300 to 1000 in increments of 100 and a vertical y-axis labeled Frequency from 0 to 20 in increments of 2. Vertical bars of width 50 start at the horizontal axis value 400. The heights of the bars are as follows, where the left horizontal axis label is listed first and the height is listed second: 400, 2; 450, 4; 500, 7; 550, 12; 600, 19; 650, 13; 700, 8; 750, 3; 800, 2; 850, 1.
the mean
the median
the mode
none of the above
Question The following dataset represents the favorite color reported by young children at a birthday party: Blue, Green, Red, Blue, Blue, Yellow, Pink, Yellow, Red, Red, Blue, Blue, Blue, Green, Blue.
Which of the following would be best to describe a typical value in the dataset?
the mean
the median
the mode
All of the above can appropriately be used to describe a typical value in the dataset.

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