MATH 225N Week 4 Statistics Quiz – Questions and Answers
QUESTION 1
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1/1 POINTS
Alice sells boxes of candy at the baseball game and wants to know the mean number of boxes she sells. The numbers for the games so far
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MATH 225N Week 4 Statistics Quiz – Questions and Answers
QUESTION 1
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1/1 POINTS
Alice sells boxes of candy at the baseball game and wants to know the mean number of boxes she sells. The numbers for the games so far are listed below.
16,14,14,21,15
Find the mean boxes sold.
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That is correct!
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$$mean=16 boxes
Answer Explanation
Correct answers:
• $\text{mean=}16\text{ boxes}$mean=16 boxes
Remember that the mean is the sum of the numbers divided by the number of numbers. There are 5 numbers in the list. So we find that the mean boxes sold is
16+14+14+21+155=805=16
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QUESTION 2
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1/1 POINTS
Given the following list of prices (in thousands of dollars) of randomly selected trucks at a car dealership, find the median.
20,46,19,14,42,26,33
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That is correct!
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$$median=26 thousands of dollars
Answer Explanation
Correct answers:
• $\text{median=}26\text{ thousands of dollars}$median=26 thousands of dollars
It helps to put the numbers in order.
14,19,20,26,33,42,46
Now, because the list has length 7, which is odd, we know the median number will be the middle number. In other words, we can count to item 4 in the list, which is 26. So the median price (in thousands of dollars) of randomly selected trucks at a car dealership is 26.
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QUESTION 3
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1/1 POINTS
Each person in a group shuffles a deck of cards and keeps selecting a card until a queen appears. Find the mode of the following number of cards drawn from a deck until a queen appears.
3,12,3,11,5,5,3,10,12
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That is correct!
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$$mode=3 cards
Answer Explanation
Correct answers:
• $\text{mode=}3\text{ cards}$mode=3 cards
If we count the number of times each value appears in the list, we get the following frequency table:
Value Frequency
3 3
5 2
10 1
11 1
12 2
Note that 3 occurs 3 times, which is the greatest frequency, so 3 is the mode of the number of cards drawn from a deck until a queen appears.
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QUESTION 4
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1/1 POINTS
The dataset below represents bugs found by a software tester in her product during different phases of testing: 88, 84, 81, 94, 91, 98, 98, 200.
The measures of central tendency are given below:
Mean: 104.25; Median: 92.5; Mode: 98. Identify the outlier and the measure of central tendency that is affected by the outlier.
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That is correct!
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The outlier is 98. The mode is affected by the outlier.
The outlier is 98. The mean is affected by the outlier.
The outlier is 200. The median is affected by the outlier.
The outlier is 200. The mean is affected by the outlier.
Answer Explanation
Correct answer:
The outlier is 200. The mean is affected by the outlier.
The data value 200 is significantly different from other data values in the dataset, so 200 is the outlier. The mean is affected by outliers. A data value that is far greater than the rest of the data values will cause the mean to be much greater than it would be if the data value were closer to the rest. In this case, the mean of 104.25 would not be a good measure of the center of the dataset since 7 of the 8 data values are less than 104.25.
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QUESTION 5
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1/1 POINTS
Given the following histogram, decide if the data is skewed or symmetrical.
A bar graph has a horizontal axis titled Values labeled from 2 to 18 in increments of 2 and a vertical axis titled Frequency labeled from 0 to 200 in increments of 50. 14 bars are plotted, above the numbers 2 to 16. From left to right, the heights of the bars are as follows: 1. 5. 10. 40, 75, 125, 190, 180, 130, 125, 60, 25,20, 10. All values are approximate.
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That is correct!
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The data are skewed to the left.
The data are skewed to the right.
The data are symmetric.
Answer Explanation
Correct answer:
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