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 ?°