Week 4 quiz

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.

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

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

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.

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.

Question 6

The following data set represents the ages of all 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?

Question 7

Which of the data sets represented by the following box and whisker plots has the smallest standard deviation?

Question 8

The box-and-whisker plot shows the number of books read by history students during the last school year.

A box and whisker plot with minimum 4, first quartile 6, median 8, third quartile 10, and maximum 15

What is the range of the data?

Question 9

A random sample of house sizes in major city has a sample mean of x¯=1204.9 sq ft and sample standard deviation of s=124.6 sq ft. Use the Empirical Rule to determine the approximate percentage of house sizes that lie between 955.7and 1454.1 sq ft.

Round your answer to the nearest whole number (percent).

Question 10

Is the statement below true or false?

Independent is the property of two events in which the knowledge that one of the events occurred does not affect the chance the other occurs.

Question 11

Brayden tosses a coin 500 times. Of those 500 times, he observes heads a total of 416 times. Calculations show that the probability of this occurring by chance is less than 0.01, assuming the coin is fair. Determine the meaning of the significance level.

Question 12

A spinner contains the numbers 1 through 80. What is the probability that the spinner will land on a number that is not a multiple of 11?

Question 13

Of the following pairs of events, which pair has mutually exclusive events?

Question 14

Fill in the following contingency table and find the number of students who both go to the beach AND go to the mountains.

Question 15

A group of 140 students at an elementary school were asked if they prefer the color orange to the color green. The results are shown in the table below. Given that a randomly selected survey participant is a male, what is the probability that this student prefers the color green?

• Enter your answer as a fraction.

Question 16

Researchers want to study whether or not a fear of flying is related to a fear of heights. They surveyed a large group of people and asked them whether or not they had a fear of flying and whether or not they had a fear of heights. The data are shown in the contingency table below. What is the relative risk of being afraid of heights for those who are afraid of flying? Round your answer to two decimal places.

Question 17

Which of the following frequency tables show a skewed data set? Select all answers that apply.

Value Frequency

5 1

6 2

7 10

8 11

9 17

10 17

11 15

12 12

13 7

14 7

15 0

16 1

Question 18

A student wants to know his average homework grade for the first half of his math class. There were 7 homeworks in the first half of the class, and his grades out of 100 are given by

100,90,95,89,92,85,95.

What is the population mean of his homework grades? Round your answer to the nearest tenth.

Question 19

The following data set represents the ages of all six grandchildren in a family.

Find the variance for this data set of ages:

6, 3, 14, 11, 14, 6

• Round the final answer to one decimal place.

Question 20

A poll was conducted during the final game of the basketball season to determine whether fans wanted to see the defending champions win the game or the challenging team win the game. From the poll, 216 of the 374 residents sampled from urban areas want the defending champions to win the game. In more rural areas, 304 of the 466 residents polled want the defending champions to win the game. Assuming location has nothing to do with team preference, the probability that the data gathered was the result of chance is calculated to be 0.03. What is the correct interpretation of this calculation?

Question 21

Find the mode of the following amounts (in thousands of dollars) in savings accounts of randomly selected people aged 25-30.

8,6,8,7,2,2,2,4,4,4,4,7

Question 22

A deck of cards contains red cards numbered 1,2,3,4,5, blue cards numbered 1,2,3,4,5,6,7,8 and green cards numbered 1,2,3,4,5,6,7,8,9,10. If a single card is picked at random, what is the probability that the card is green?

• Give your answer as a fraction.

Question 23

The five-number summary for a set of data is given below.

Min Q1 Median Q3 Max

60 65 70 75 87

What is the interquartile range of the set of data?

Answer: Interquartile range is 10

Question 24

The five-number summary for a set of data is given below.

Min Q1 Median Q3 Max

43 47 53 62 72

What is the interquartile range of the set of data?

Answer: Interquartile range is 15

Question 25

The following frequency table summarizes a set of data. What is the five-number summary?

Value Frequency

3 3

5 2

10 1

13 1

14 3

15 3

16 1

20 1

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