Group A 18 20 46 34 58 31 41
Group B 15 21 32 42 29 57 39
The 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.
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.
The mean time Group A spent shopping is 35.7 minutes.
The mean time Group B spent shopping is 34.0 minutes.
The mean times Group A and Group B spent shopping differ by 1.7 minutes.
Which data set has the highest median?
{8, 20, 13, 14, 12, 9}
{1, 6, 15, 7, 15, 18, 14}
{11, 15, 16, 8, 12, 14}
{1, 10, 8, 29, 14, 17, 3}
To find the median of each data set, we need to first put the numbers in order:
{8, 20, 13, 14, 12, 9} --> {8, 9, 12, 13, 14, 20} Median = 13.5
{1, 6, 15, 7, 15, 18, 14} --> {1, 6, 7, 14, 15, 15, 18} Median = 14
{11, 15, 16, 8, 12, 14} --> {8, 11, 12, 14, 15, 16} Median = 13.5
{1, 10, 8, 29, 14, 17, 3} --> {1, 3, 8, 10, 14, 17, 29} Median = 10
Therefore, data set {1, 6, 15, 7, 15, 18, 14} has the highest median, which is 14.
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 2
The values of several houses on Mango Street are displayed on the table. What is the median value of these houses?
(1 point)
First, we need to list the values in order:
$150,000, $150,000, $220,000, $220,000, $220,000, $220,000, $490,000, $490,000, $490,000, $540,000, $540,000, $800,000, $800,000, $800,000, $800,000, $800,000, $975,000, $975,000
There are 18 values, which is an even number. Therefore, we need to find the average of the two middle values: $490,000 and $540,000.
($490,000 + $540,000) / 2 = $515,000
So the median value of the houses is $515,000.
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?
Theo: 84, 88, 81, 85, 77, 76
Jose: 91, 93, 97, 96, 96, 96
Ara: 100, 98, 99, 97, 100, 100
Dana: 68, 74, 83, 80, 81, 82
To find out whose mean test score will increase the most, we need to calculate the mean for each student's previous six tests and then subtract it from 90 (assuming that a perfect score is 100 and they want to improve their average to 90). The one with the largest difference will have the greatest increase.
Theo: (84+88+81+85+77+76)/6 = 82.0. The difference is 90 - 82.0 = 8.0.
Jose: (91+93+97+96+96+96)/6 = 95.7. The difference is 90 - 95.7 = -5.7.
Ara: (100+98+99+97+100+100)/6 = 99.0. The difference is 90 - 99.0 = -9.0.
Dana: (68+74+83+80+81+82)/6 = 77.7. The difference is 90 - 77.7 = 12.3.
Therefore, Dana's mean test score will increase the most by 12.3 points.
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.
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.
For the speeds of the fastest steel roller coasters in Europe, the lowest speed is 74 mph and the highest speed is 111 mph. Therefore, the range is 111 - 74 = 37 mph.
For the speeds of the fastest steel roller coasters in North America, the lowest speed is 85 mph and the highest speed is 128 mph. Therefore, the range is 128 - 85 = 43 mph.
So the range of the speeds of the fastest steel roller coasters in Europe is 37 mph, and the range for 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.
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 in each sample and divide by the number of days (which is 10 for both samples):
Sample 1: (78 + 82 + 85 + 87 + 90 + 85 + 79 + 86 + 91 + 88) ÷ 10 = 85.1 °F
Sample 2: (81 + 79 + 80 + 86 + 89 + 92 + 82 + 88 + 84 + 87) ÷ 10 = 85.8 °F
The mean daily high temperature of Sample 1 is 85.1°F and the mean daily high temperature of Sample 2 is 85.8°F.
The difference between the mean daily high temperatures is:
85.8 - 85.1 = 0.7°F
Therefore, 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)
? %
In Sample 1, 8 out of 100 students own a bird, which is 8%. In Sample 2, 12 out of 100 students own a bird, which is 12%.
To find the percentage of students who own a bird from both samples combined, we need to add up the number of students who own a bird in both samples and divide by the total number of students:
8 (from Sample 1) + 12 (from Sample 2) = 20
Total number of students = 100 (from Sample 1) + 100 (from Sample 2) = 200
Therefore, the percentage of students who own a bird as a pet based on the two samples combined is:
(20 ÷ 200) x 100% = 10%
So 10% of students own a bird as a pet according to the two random 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
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.
To find the range of the number of goals scored by each team, we need to first find the lowest and highest number of goals.
For Lacrosse Team 1:
Lowest number of goals: 0
Highest number of goals: 17
Range = 17 - 0 = 17
For Lacrosse Team 2:
Lowest number of goals: 14
Highest number of goals: 23
Range = 23 - 14 = 9
Therefore, Lacrosse Team 1 has a range of 17 goals and Lacrosse Team 2 has a range of 9 goals.
A smaller range means that the numbers are more consistent, so Lacrosse Team 2 has a more consistent number of goals scored because it has a smaller range.
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?
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 ?
Both the dot plots have the gas mileage values in common, but they are shown for different types of vehicles.
The data value in common for both distributions with the lowest number is 21 miles per gallon.
The data value in common for both distributions for the highest number is 22 miles per gallon.
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 ?
Class
has a higher median number of books read during the summer.
First, we need to put the numbers in each class in order:
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
To find the median, we need to find the middle number(s) of each set. If there is an even number of numbers, we take the mean of the two middle numbers.
For Class 1:
The middle numbers are 5 and 6, so the median is (5+6)/2 = 5.5
For Class 2:
The middle number is 4, since there are an odd number of numbers.
Therefore, the median number of books read during the summer by Class 1 is 5.5, and the median number of books read during the summer by Class 2 is 4.
Since the median number of books for Class 1 is higher than that for Class 2, Class 1 has a higher median number of books read during the summer.
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.
statements 1 and 2
statements 1 and 3
statements 2 and 3
statements 1, 2, and 3