A large company wants to find out what team-building activity its employees prefer. Which of the following samples can give the most valid generalization?(1 point)
Responses
all employees who have worked in the company for 5 years or more
all employees who have worked in the company for 5 years or more
a group with one member from each department
a group with one member from each department
all 624 female employees in the company
all 624 female employees in the company
400 randomly chosen employees from the list of all employees
400 randomly chosen employees from the list of all employees
A hotel maintenance crew wants to estimate how many of the 12,000 lamps in their 30-story hotel need a new light bulb. Which of the following is a random sample of lamps to be inspected?(1 point)
Responses
400 lamps on the first 10 floors
400 lamps on the first 10 floors
100 lamps on each floor chosen randomly
100 lamps on each floor chosen randomly
all lamps in booked rooms
all lamps in booked rooms
all lamps from the rooms with king-sized beds
all lamps from the rooms with king-sized beds
100 lamps on each floor chosen randomly
A local library manager randomly surveys 80 patrons about the type of book they borrow when they visit the library. The manager finds that 3 patrons borrow novels. If the local library has 345 patrons, approximately how many of them borrow novels when they visit the library? Round your answer to the nearest whole number. (1 point)
To estimate the number of patrons who borrow novels, we can set up a proportion:
3/80 = x/345
Solving for x:
x = 3 * 345 / 80
x ≈ 13
Approximately 13 patrons borrow novels when they visit the library.
Use the table to answer the question.
Group A 18 20 46 34 58 31 41
Group B 15 21 32 42 29 57 39The table shows the times, in minutes, spent shopping by two different groups. First find the mean times each group spent shopping. Then determine the difference in the mean times. Round your answers to one decimal place.(2 points)
The mean time Group A spent shopping is
minutes.
The mean time Group B spent shopping is
minutes.
The mean times Group A and Group B spent shopping differ by
minutes.
To find the mean time each group spent shopping, we can add up the times and divide by the number of members in each group:
Mean time for Group A = (18+20+46+34+58+31+41) / 7 = 34.1 minutes
Mean time for Group B = (15+21+32+42+29+57+39) / 7 = 33.4 minutes
The difference in mean times is:
34.1 - 33.4 = 0.7 minutes
Rounded to one decimal place, the answers are:
The mean time Group A spent shopping is 34.1 minutes.
The mean time Group B spent shopping is 33.4 minutes.
The mean times Group A and Group B spent shopping differ by 0.7 minutes.
Which data set has the highest median?(1 point)
Responses
{1, 10, 8, 29, 14, 17, 3}
, left brace 1 comma 10 comma 8 comma 29 comma 14 comma 17 comma 3 right brace
{11, 15, 16, 8, 12, 14}
, left brace 11 comma 15 comma 16 comma 8 comma 12 comma 14 right brace
{8, 20, 13, 14, 12, 9}
, left brace 8 comma 20 comma 13 comma 14 comma 12 comma 9 right brace
{1, 6, 15, 7, 15, 18, 14}
{11, 15, 16, 8, 12, 14} , left brace 11 comma 15 comma 16 comma 8 comma 12 comma 14 right brace
To find the median, we need to order the data set from least to greatest:
8, 11, 12, 14, 15, 16
The middle two numbers are 14 and 15, so the median is:
(14 + 15) / 2 = 14.5
None of the other data sets have a median as high as 14.5, so {11, 15, 16, 8, 12, 14} has the highest median.
Statistics Unit Test
6 of 156 of 15 Items
Question
Use the table to answer the question.
Value per House Number of Houses
$150,000 2
$220,000 4
$490,000 3
$540,000 2
$800,000 5
$975,000 2The values of several houses on Mango Street are displayed on the table. What is the median value of these houses?
To find the median value, we need to first order the values from least to greatest:
$150,000, $220,000, $490,000, $540,000, $800,000, $800,000, $800,000, $800,000, $800,000, $975,000, $975,000
Since there are 11 values in the set, the median is the middle value when the set is ordered. In this case, the middle value is the sixth value, which is:
$800,000
Therefore, the median value of the houses is $800,000.
Theo, Ara, Jose, and Dana all got 100 percent on their latest math test. Their scores on the previous six tests are listed. Whose mean test score will increase the most? (1 point)
Responses
Ara: 100, 98, 99, 97, 100, 100
Ara: 100, 98, 99, 97, 100, 100
Jose: 91, 93, 97, 96, 96, 96
Jose: 91, 93, 97, 96, 96, 96
Theo: 84, 88, 81, 85, 77, 76
Theo: 84, 88, 81, 85, 77, 76
Dana: 68, 74, 83, 80, 81, 82
Dana: 68, 74, 83, 80, 81, 82
Since all four students scored 100% on their latest math test, their mean scores will all increase by the same amount. The increase will be:
(100 - previous mean score)
We can calculate the previous mean scores for each student by adding up their scores on the previous six tests and dividing by 6:
Ara: (100+98+99+97+100+100)/6 = 98.3
Jose: (91+93+97+96+96+96)/6 = 95
Theo: (84+88+81+85+77+76)/6 = 82.8
Dana: (68+74+83+80+81+82)/6 = 78
To find whose mean test score will increase the most, we need to calculate the increase for each student:
Ara: 100 - 98.3 = 1.7
Jose: 100 - 95 = 5
Theo: 100 - 82.8 = 17.2
Dana: 100 - 78 = 22
So, Dana's mean test score will increase the most by 22 points.
Statistics Unit Test
8 of 158 of 15 Items
Question
The stem-and-leaf plot shows the speeds of the fastest steel roller coasters in Europe. The table shows the speeds of the fastest steel roller coasters in North America.
Speeds of the Fastest Steel Roller Coasters in Europe (in miles per hour)
Stem Leaf
7 4 5 5 5
8 0 0 3 4 8
9 9
11 1Key: 7|4=74 miles per hour
Speeds of the Fastest Steel Roller Coasters in North America (in miles per hour)
Canada 90 128 91
U.S. 93 120 100
Mexico 95 92 85
Find the range of the speeds of the fastest steel roller coasters on both continents.
(1 point)
The range of the speeds of the fastest steel roller coasters in Europe is
mph. The range of the speeds of the fastest steel roller coasters in North America is
mph.
The range is the difference between the highest and lowest values in a data set.
For Europe:
Highest value: 115
Lowest value: 74
Range = 115 - 74 = 41 mph
For North America:
Highest value: 128
Lowest value: 85
Range = 128 - 85 = 43 mph
Therefore, the range of the speeds of the fastest steel roller coasters in Europe is 41 mph, and the range of the speeds of the fastest steel roller coasters in North America is 43 mph.
Anthony wants to know the average daily high temperatures in his town during the summer. He chose two random samples of 10 consecutive days and recorded the daily high temperatures. The daily high temperatures in Fahrenheit are as follows.
Sample 1: 78 82 85 87 90 85 79 86 91 88
Sample 2: 81 79 80 86 89 92 82 88 84 87
Find the mean daily high temperatures of each sample and calculate the difference between these mean daily high temperatures.
(2 points)
The mean daily high temperature of Sample 1 is
°.
The mean daily high temperature of Sample 2 is
°.
The mean daily high temperatures of the two samples differ by
°.
To find the mean daily high temperature of each sample, we need to add up all the temperatures and divide by the number of temperatures in each sample:
Mean of Sample 1 = (78 + 82 + 85 + 87 + 90 + 85 + 79 + 86 + 91 + 88) / 10 = 85.1°F
Mean of Sample 2 = (81 + 79 + 80 + 86 + 89 + 92 + 82 + 88 + 84 + 87) / 10 = 85.8°F
To calculate the difference between these means, we can subtract the mean of Sample 1 from the mean of Sample 2:
85.8 - 85.1 = 0.7°F
Therefore, the mean daily high temperature of Sample 1 is 85.1°F, the mean daily high temperature of Sample 2 is 85.8°F, and the mean daily high temperatures of the two samples differ by 0.7°F.
The data from two random samples of 100 students regarding what pet they own is given below.
Dog Cat Bird Total
Sample 1 54 38 8 100
Sample 2 39 49 12 100
Based on the two samples, what percentage of students own a bird as a pet?
(1 point)
%
The total number of students across both samples who own a bird as a pet is:
8 + 12 = 20
The total number of students across both samples is:
100 + 100 = 200
To find the percentage of students who own a bird as a pet, we can divide the number of students who own a bird by the total number of students and then multiply by 100:
(20/200) x 100 = 10%
Therefore, 10% of students own a bird as a pet based on the two samples.
These are the scores for two randomly selected lacrosse teams. Find the range of the number of goals scored by each team. Based on the range, which team has a more consistent number of goals scored?
Lacrosse Team 1: 6 0 4 17 3 12
Lacrosse Team 2: 23 14 22 14 17 22(2 points)
The range of the number of goals scored by Lacrosse Team 1 is
. The range of the number of goals scored by Lacrosse Team 2 is
. Based on the range, Lacrosse Team
has a more consistent number of goals scored.
Skip to navigation
The range is the difference between the highest and lowest values in a data set.
For Lacrosse Team 1:
Highest value: 17
Lowest value: 0
Range = 17 - 0 = 17
For Lacrosse Team 2:
Highest value: 23
Lowest value: 14
Range = 23 - 14 = 9
Since the range for Lacrosse Team 2 is smaller than the range for Lacrosse Team 1, it means that Lacrosse Team 2 has a more consistent number of goals scored.
what are the ranges
The range of the number of goals scored by Lacrosse Team 1 is 17, and the range of the number of goals scored by Lacrosse Team 2 is 9.
Use the image to answer the question.
An illustration shows two sets of dot plots. One is titled Gas Mileage in miles per gallon, Cars and the other is Gas Mileage in miles per gallon, S U Vs. The plots are shown as dots in a vertical row over each number on a number line. For Cars, a number line with arrows on both ends ranges from 18 to 22 in increments of 1. There is 1 dot above 18, 2 dots above 19, 3 dots above 20, 2 dots above 21, and 1 dot above 22. For S U Vs, a number line with arrows on both ends ranges from 21 to 25 in increments of 1. There is 1 dot above 21, 1 dot above 22, 2 dots above 23, 2 dots above 24, and 3 dots above 25.
The dot plots show the gas mileage for randomly selected cars and SUVs. Which data values do both distributions have in common?
(1 point)
The data value in common for both distributions with the lowest number is
.
The data value in common for both distributions for the highest number is
.
Skip to navigation
Both distributions have a data value of 22 in common, as indicated by the dot plot for Cars and the dot plot for S U Vs.
They do not have a data value in common for the highest number, since the highest value for Cars is 22 and the highest value for S U Vs is 25.
Fifteen students are randomly selected from two different classes. They were asked how many books they read during the summer. Their responses are as follows. Find the median number of books read by each class. Which class has a higher median number of books read?
Class 1: 0, 5, 3, 6, 7, 8, 10, 1, 1, 4, 5, 6, 4, 5, 6
Class 2: 2, 2, 4, 3, 0, 0, 6, 7, 10, 9, 6, 5, 3, 1, 2
(2 points)
The median number of books read during the summer by Class 1 is
.
The median number of books read during the summer by Class 2 is
.
To find the median, we need to first order the data set from least to greatest:
Class 1: 0, 1, 1, 3, 4, 4, 5, 5, 5, 6, 6, 7, 8, 10
Class 2: 0, 0, 1, 2, 2, 2, 3, 3, 4, 5, 6, 6, 7, 9, 10
The median is the middle value when the set is ordered. If there are an even number of values, the median is the average of the two middle values.
For Class 1, since there are an odd number of values, the median is the middle value:
Median for Class 1 = 5
For Class 2, since there are an even number of values, the median is the average of the two middle values:
Median for Class 2 = (4 + 5) / 2 = 4.5
Therefore, the median number of books read during the summer by Class 1 is 5, and the median number of books read during the summer by Class 2 is 4.5. Class 1 has a higher median number of books read.
Statistics Unit Test
14 of 1514 of 15 Items
Question
The ages of randomly selected employees at two companies are recorded. Their ages are as follows.
Company A: 34, 28, 36, 27, 45, 44, 30, 42, 41, 40, 50, 48, 52, 45, 39, 38
Company B: 29, 32, 48, 51, 49, 37, 33, 35, 36, 40, 45, 48, 43, 43, 44, 48
Which of the following statements is true?
The mean age of employees from Company A is higher than the mean age of employees from Company B.
The median age of employees from Company A is lower than the median age of employees from Company B.
The range of ages of employees from Company A is higher than the range of ages of employees from Company B.
(1 point)
Responses
statements 1, 2, and 3
statements 1, 2, and 3
statements 2 and 3
statements 2 and 3
statements 1 and 2
statements 1 and 2
statements 1 and 3
statements 1 and 3
Skip to navigation
The mean age of employees from Company A is:
(34 +
choose an answer
Statistics Unit Test
14 of 1514 of 15 Items
Question
The ages of randomly selected employees at two companies are recorded. Their ages are as follows.
Company A: 34, 28, 36, 27, 45, 44, 30, 42, 41, 40, 50, 48, 52, 45, 39, 38
Company B: 29, 32, 48, 51, 49, 37, 33, 35, 36, 40, 45, 48, 43, 43, 44, 48
Which of the following statements is true?
The mean age of employees from Company A is higher than the mean age of employees from Company B.
The median age of employees from Company A is lower than the median age of employees from Company B.
The range of ages of employees from Company A is higher than the range of ages of employees from Company B.
(1 point)
Responses
statements 1, 2, and 3
statements 1, 2, and 3
statements 2 and 3
statements 2 and 3
statements 1 and 2
statements 1 and 2
statements 1 and 3
statements 1 and 3
choose an answer.