Docsity
Docsity

Prepare for your exams
Prepare for your exams

Study with the several resources on Docsity


Earn points to download
Earn points to download

Earn points by helping other students or get them with a premium plan


Guidelines and tips
Guidelines and tips

MATH225 Week 4 Quiz: Statistics and Probability Exercises, Exams of Nursing

A series of exercises and questions covering key concepts in statistics and probability, including measures of central tendency (mean, median, mode), variance, standard deviation, data distribution, probability, and statistical significance. The exercises are designed to reinforce understanding of these concepts and their applications in real-world scenarios.

Typology: Exams

2024/2025

Available from 03/30/2025

EXAMTUTOR
EXAMTUTOR 🇮🇳

4.3

(21)

364 documents

1 / 12

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
MATH225 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.
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.
pf3
pf4
pf5
pf8
pf9
pfa

Partial preview of the text

Download MATH225 Week 4 Quiz: Statistics and Probability Exercises and more Exams Nursing in PDF only on Docsity!

MATH225 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.

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.

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.

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.

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 summary: 2, 63, 77, 92, and 138. All values are approximate. That is correct! A B C D

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? That is correct!

Answer: 11

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). That is correct!

Answer: 95%

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. That is correct! True False

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. That is correct! We expect that 416 of every 500 coin tosses will result in heads. At the 0.01 level of significance, the coin is likely not a fair coin. There is certainty that the coin is not a fair coin. The results are not statistically significant at the 0.05 level of significance.

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?

 Give your answer in fraction form. That is correct! Answer: 73/

Question 13

Of the following pairs of events, which pair has mutually exclusive events? That is correct! rolling a sum greater than 7 from two rolls of a standard die and rolling a 4 for the first throw

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.

Afraid of

heights

Not afraid of

heights

Total

Afraid of flying 76 33 109

Not afraid of

flying

Total 158 403 561

That is correct!

Answer: 3.

Question 17

Which of the following frequency tables show a skewed data set? Select all answers that apply. That is correct! Value Frequency

13 7 14 7 15 0 16 1 Value Frequency 5 1 6 3 7 8 8 10 9 13 10 26 11 14 12 12 13 8 14 3 15 1 16 1 Value Frequency 12 1 13 1 14 3 15 6 16 23 17 29 18 19 19 15 20 3 Value Frequenc 0 5 1 16 2 23 3 19 4 22

The results are statistically significant at the 0.05 level of significance in showing that the proportion of people in rural areas who want the defending champions to win the game is different than the proportion of people in urban areas. The data is not statistically significant at the 0.05 level of significance in showing that the proportion of people in rural areas who want the defending champions to win the game is different than the proportion of people in urban areas.

Question 21

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

That is correct!

Answer: Mode = 4 thousands of dollars

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.   That is correct!

 Answer: 10/

Question 23

The five-number summary for a set of data is given below. Min Q1 Median Q3 Max

What is the interquartile range of the set of data? That is correct!

Answer: Interquartile range is 10

Question 24

The five-number summary for a set of data is given below. Min Q1 Median Q3 Max

What is the interquartile range of the set of data? That is correct!

Answer: Interquartile range is 15

Question 25

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

That is correct! Min Q1 Median Q3 Max 3 5 9 15 20