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Exam (elaborations) MATH 225N Week 4 Statistics Quiz Solutions Fall 2020/2021

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Exam (elaborations) MATH 225N Week 4 Statistics Quiz Solutions Fall 2020/2021 Question 1 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. That is correct! Answer: 16 Boxes Question 2 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 That is correct! Answer: median= 26 thousands of dollars Question 3 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 That is correct! Answer: mode=3 cards Question 4 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. MATH 225N Week 4 Statistics Quiz Solutions Fall That is correct! 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. Question 5 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. That is correct! The data are skewed to the left. The data are skewed to the right. The data are symmetric. Question 6 The following data set represents the ages of al l seven grandchildren in a family. 4, 5, 11, 12, 11, 8, 5 If the variance of the ages is 9.7, what is the standard deviation? Round the final answer to one decimal place. That is correct! Answer: Std 3.1 Question 7 Which of the data sets represented by the following box and whisker plots has the smallest standard deviation? Four horizontal box-and-whisker plots share a vertical axis with the classes D, C, B, and A and a horizontal axis from 0 to 120 in increments of 20. The box-and-whisker plot above the class label A has the following five-number summary: 44, 69, 77, 82, and 112. The box-and-whisker plot above the class label B has the following five-number summary: 19, 64, 78, 87, and 121. The box-and-whisker plot above the class label C has the following five-number summary: 60, 72, 75, 80, and 92. The box-and-whisker plot above the class label D has the following five-number

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MATH 225N Week 4 Statistics
Week 4 quiz Quiz Solutions Fall
20202021
Question 1
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.


That is correct!

Answer: 16 Boxes



Question 2
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

That is correct!

Answer: median=26 thousands of dollars



Question 3
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

That is correct!

Answer: mode=3 cards

Question 4
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.

, That is correct!

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.



Question 5
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.


That is correct!

The data are skewed to the left.
The data are skewed to the right.
The data are symmetric.

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