Stats 118 - Chapter 2 In-class activity / Homework / Excel-Lab
What is the sum of the relative frequencies?
1.0
A pie chart shows the relative market share of cola products. The slice for Pepsi has a central angle of 90 degrees. What is its market share?
25%
A student was studying the political party preferences of a university's student population. The survey instrument asked students to identify themselves as a Democrat or a Republican. This question is flawed because (Single Choice)
the categories are not exhaustive
For a relative frequency distribution, relative frequency is computed as
the class frequency divided by the number of observations
What level of measurement is required for this quantitative variables? (Select all that apply.)
Interval level Ratio Level
When data are collected using a qualitative, nominal variable (e.g., male or female), what is true about a frequency table that summarizes the data?
The number of classes corresponds to the number of a variable's values.
Two thousand six hundred frequent business travels were asked which midwestern city they prefer: Indianapolis, Saint Louis, Chicago, or Milwaukee. One hundred and third liked Indianapolis best, 455 liked Saint Louis, 1395 liked Chicago, and the remainder preferred Milwaukee. Develop a frequency table and relative frequency table to summarize this information
FREQUENCY Indianapolis : 113 Saint Louis : 455 Chicago : 1,395 Milwaukee : 637 Total = 2,600 RELATIVE FREQUENCY Indianapolis : 113 / 2,600 Saint Louis : 455 / 2,600 Chicago : 1,395 / 2,600 Milwaukee : 637 / 2,600
Two thousand six hundred frequent business travelers were asked which midwestern city they prefer: Indianapolis, Saint Louis, Chicago, or Milwaukee. One hundred and thirteen liked Indianapolis best, 455 liked St Louis, 1395 liked Chicago, and the remainder preferred Milwaukee. Develop a frequency table on a relative frequency table to summarize this information.
FREQUENCY Indianapolis : 113 Saint Louis : 455 Chicago : 1,395 Milwaukee : 637 Total = 2,600 RELATIVE FREQUENCY Indianapolis : 113 / 2,600 = 0.043 Saint Louis : 455 / 2,600 = 0.175 Chicago : 1,395 / 2,600 = 0.537 Milwaukee : 637 / 2,600 = 0.245
In 2017 the United States exported a total of 420.9 billion dollars worth of products to Canada. The top five categories relative to dollar value, in billions of dollars, were: Required: a)Outside of Connect, summarize the table with a bar chart using a software package. b) What is the percentage of "Mineral fuels, including oil" and "Vehicles" exported to Canada relative to the total exports to Canada? c)What is the percentage of "Mineral fuels, including oil" and "Vehicles" exported to Canada relative to the total of top five exports to Canada?
total exports : $420.9 9 ( in billions) "Mineral fuels, including oil" : $84.6 "Vehicles" : $62.3 84.6 + 62.3 = 146.9 b) 146.9 / 420.9 = 0.349 x 100 = 34.9% -- Percentage relative to total exports TOP FIVE EXPORTS "Mineral fuels, including oil" : $84.6 "Vehicles" : $62.3 "Machinery, including computers" : 32.4 "Gems, precious metals" : 18.6 "Wood" : 14.1 84.6 + 62.3 + 32.4 + 18.6 + 14.1 = 212 c) 146.9 / 212 = 0.693 x 100 = 69.3% -- percentage relative to top five exports
Commissions Class Freq. $600 up to $800 3 800 up to 1,000 7 1,000 up to 1,200 11 1,200 up to 1,400 12 1,400 up to 1,600 40 1,600 up to 1,800 24 1,800 up to 2,000 9 2,000 up to 2,200 4 What is a relative frequency for salespeople from $1,600 to $1,800..? (Single Choice)
0.22 24/110 - 0.22
Refer to the following information from a frequency distribution for heights of college women recorded to the nearest inch: the first two class midpoints are 62.5" and 65.5". what are the class limits for the lowest class? (Single Choice)
61 and up to 64
The number of employees less than the upper limit of each class at Lloyd's Fast Food Emporium is shown in the following table: Ages Cumulative Number 18 up to 23 6 23 up to 28 19 28 up to 33 52 33 up to 38 61 38 up to 43 65 What is it called? (Single Choice)
A cumulative frequency distribution
Alexandra Damonte will be building a new resort in Myrtle Beach, South Carolina. She must decide how to design the resort based on the type of activities that the resort will offer to customers. A recent poll of 300 potential customers showed the Following results about customers' preferences for planned resort activities: A) What is the table called? B) Outside of Connect, draw a bar chart to portray the survey results. C) Outside of Connect, draw a pie chart for the survey results. D) If you are preparing to present the results of Ms. Damonte as part of a report, which graph would you prefer to show?
A) Frequency Table D) Pie Chart
Cigarette-smoking habits of college students. The data are summarized in the following table: Males who smoke 20 Males who do not smoke 30 Females who smoke 25 Females who do not smoke 50 What type of chart best represents the frequency table?
Bar chart
Identify whether the table given below is a frequency table or a frequency distribution. Navigation ---------- Internet Users Bright ---------- 1058 Good ---------- 65 Bad ---------- 42 Average ---------- 154 Excellent ---------- 23
Frequency Table
What level of measurement is required for this qualitative variables? (Select all that apply.)
Ordinal level Nominal level
One of the most popular candies in the United States is M&M's, which are produced by the Mars Company. In the beginning M&M's were all brown; more recently they were produced in red, green, blue, orange, brown, and yellow. You can read about the history of the product, find ideas for baking, purchase the candies in the colors of your school or favorite team, and learn the percent of each color in the standard bags at www.mms.com . Recently, the purchase of a 14-ounce bag of M&M's Plain had 444 candies with the following breakdown by color: 130 brown, 98 yellow, 96 red, 35 orange, 52 blue, and 33 green. What chart would you suggest using to illustrate this information?
Pie chart
Cigarette-smoking habits of college students. Data from a random sample of students table: Males 50 Females 75 Males who smoke 20 Males who don't smoke 30 Females who smoke 25 Females who don't smoke 50 What is wrong with this frequency table?
The classes are not mutually exclusive.
The cumulative frequency and the cumulative relative frequency polygon for a distribution of selling prices ($000) of houses sold in the Billings, Montana, area is shown in the graph. a) How many homes were studied b) What is the class interval? c) One hundred homes sold for less than what amount? d) About 75% of the homes sold for less than what amount? e) Estimate the number of homes in the $150,000 up to $200,000 class. f) About how many homes sold for less than $225,000?
a) 200 b) 50 50 - 0 = 50 c) 190 approximately d) $235 approximately e) 52 f) 135
The following frequency distribution reports the number of frequent flier miles, reported in thousands, for employees of Brumley Statistical Consulting Inc. during the most recent quarter. a) How many employees were studied? b) What is the midpoint of the first class? d) A frequency polygon is to be drawn. What are the coordinates for the plot for the first class?
a) 48 b) 2.0 c) x = 2.0, y = 4
The following cumulative frequency and the cumulative relative frequency polygon for the distribution of hourly wages of a sample of certified welders in the Atlanta, Georgia, area is shown in the graph. a) How many welders were studied? b) What is the class interval? c) About how many welders earn less than $21.00 per hour? d) About 25% of the welders make less than what amount? e) Forty of the welders studied made less than what amount? f) What percent of the welders make less than $12.00 per hour?
a) 50 b) 5 5 - 0 = 5 c) 33 d) $5 e) $25 f) 42%
The following histogram shows the scores on the first exam for a statistic class. a) How many students took the exam? b) What is the class interval? c) What is the midpoint of the first class interval? d) How many students earned a score of less than 70?
a) 56 3 + 14 + 21 + 12 + 6 = 56 b) 10 60 - 50 = 10 c) 55 (60 + 50) / 2 = 55 d) 17 14 ( 60 up to 70) 3 ( 50 up to 60( 14 + 3 = 17
Molly's Candle Shop has several retail stores in the coastal areas of North and South Carolina. Many of Molly's customers ask her to ship their purchases. The following chart shows the number of packages shipped per day for the last 100 days. For example, the first class shows that there were 5 days when the number of packages shipped was 0 up to 5. a) What is this chart called? b) How many total days were packages shipped? c) What is the class interval? d) What is the number of days shipped in the 10 up to 15 class? e) What is the relative frequency of days in the 10 up to 15 class? f) what is the midpoint of the 10 up to 15 class? g) On how many days were there 25 or more packages shipped?
a) Histogram b) 100 5+13+28+23+18+10+3 = 100 c) 5 10 - 5 = 5 d) 28 e) 0.28 28 / 100 = 0.28 f) 12.5 15 + 10 = 25 / 2 = 12.5 g) 13 10 + 1 = 13
Molly's Candle Shop has several retail stores in the coastal areas of North and South Carolina. Many of Molly's customers ask her to ship their purchases. The following chart shows the number of packages shipped per day for the last 100 days. For example, the first class shows that there were 5 days when the number of packages shipped was 0 up to 5. a) What is this chart called? b) How many total days were packages shipped? c) What is the class interval? d) What is the number of days shipped in the 10 up to 15 class? e) What is the relative frequency of days in the 10 up to 15 class? f) what is the midpoint of the 5 up to 10 class? g) On how many days were there 25 or more packages shipped?
a) Histogram b) 100 5+13+28+23+18+10+3 = 100 c) 5 10 - 5 = 5 d) 28 e) 0.28 28 / 100 = 0.28 f) 7.5 10 + 5 = 15 / 2 = 7.5 g) 13 10 + 1 = 13
The number of families who used the Minneapolis YWCA day care service was recorded over a 30-day period. The results are as follows: a. Construct a cumulative frequency distribution of this data. (Round your calculated class interval up to the nearest multiple of 5.) b. Select a graph of the cumulative frequency polygon of the given data. c. How many days saw fewer than 30 families utilize the day care center?
b) Graph 1 c) 7
