Use the table to answer the question.
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 time Group A and Group B spent shopping is ______ minutes.
To find the mean, we sum up all the times and divide by the number of times in the group.
For Group A:
Mean = (18 + 20 + 46 + 34 + 58 + 31 + 41) / 7 = 248 / 7 = 35.4 minutes
For Group B:
Mean = (15 + 21 + 32 + 42 + 29 + 57 + 39) / 7 = 235 / 7 = 33.6 minutes
The mean time Group A spent shopping is 35.4 minutes.
The mean time Group B spent shopping is 33.6 minutes.
The difference in the mean times is:
35.4 - 33.6 = 1.8 minutes
Therefore, the mean time Group A and Group B spent shopping is 1.8 minutes.
which data set has the highest median?
a. {8, 20, 13, 14, 12, 9}
b. {1, 6, 15, 7, 15, 18, 14}
c. {1, 10, 8, 29, 14, 17, 3}
d. { 11, 15, 16, 8, 12, 14}
To find the median of each data set, let's first put the data sets in order:
a. {8, 20, 13, 14, 12, 9} -> {8, 9, 12, 13, 14, 20}
b. {1, 6, 15, 7, 15, 18, 14} -> {1, 6, 7, 14, 15, 15, 18}
c. {1, 10, 8, 29, 14, 17, 3} -> {1, 3, 8, 10, 14, 17, 29}
d. {11, 15, 16, 8, 12, 14} -> {8, 11, 12, 14, 15, 16}
Now, let's find the median for each data set:
a. {8, 9, 12, 13, 14, 20} has a median of 12.5
b. {1, 6, 7, 14, 15, 15, 18} has a median of 14
c. {1, 3, 8, 10, 14, 17, 29} has a median of 10
d. {8, 11, 12, 14, 15, 16} has a median of 13
Therefore, data set b. {1, 6, 15, 7, 15, 18, 14} has the highest median.
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?
To find the median value of the houses on Mango Street, we first need to organize the data in ascending order along with their frequencies:
$150,000 (2), $220,000 (4), $490,000 (3), $540,000 (2), $800,000 (5), $975,000 (2)
The total number of houses is 2 + 4 + 3 + 2 + 5 + 2 = 18 houses.
To find the median, we need to find the middle value. Since the total number of houses is 18, the median will be the value of the 9th house because the 9th house will be the middle value.
Counting through the data, the 9th house falls within the $490,000 category.
Therefore, the median value of the houses on Mango Street is $490,000.
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 scores will increase the most?
a. Ara: 100, 98, 99, 97, 100, 100
b. Theo: 84, 88, 81, 85, 77, 76
c. Dana: 68, 74, 83, 80, 81, 82
d. Jose: 91, 93, 97, 96, 96, 96
To determine whose mean test scores will increase the most after the latest test, we can calculate the mean score of each student before the latest test and then calculate the mean after including the latest test.
Let's calculate the mean scores for each student before and after the latest test:
a. Ara:
- Before: (100 + 98 + 99 + 97 + 100 + 100) / 6 = 99
- After: (99*6 + 100) / 7 = 99.29
b. Theo:
- Before: (84 + 88 + 81 + 85 + 77 + 76) / 6 = 81.83
- After: (81.83*6 + 100) / 7 = 84
c. Dana:
- Before: (68 + 74 + 83 + 80 + 81 + 82) / 6 = 78
- After: (78*6 + 100) / 7 = 82.29
d. Jose:
- Before: (91 + 93 + 97 + 96 + 96 + 96) / 6 = 95.5
- After: (95.5*6 + 100) / 7 = 96
The difference in mean scores from before and after the latest test for each student are:
a. Ara: 0.29
b. Theo: 2.17
c. Dana: 4.29
d. Jose: 0.5
Therefore, Dana's mean test score will increase the most after the latest test.
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.
The range speeds of the fastest steel roller coasters in Europe is ______ is mph. The range of the speeds of the fastest steel roller coasters in North America is ______ mph.
To find the range of the speeds of the fastest steel roller coasters on both continents, we need to determine the highest and lowest speeds in each dataset and then calculate the difference.
For the speeds of the fastest steel roller coasters in Europe:
- The highest speed is 119 mph (from 11 | 9)
- The lowest speed is 74 mph (from 7 | 4)
Range in Europe: 119 mph - 74 mph = 45 mph
For the speeds of the fastest steel roller coasters in North America:
- The highest speed is 128 mph (Canada)
- The lowest speed is 85 mph (Mexico)
Range in North America: 128 mph - 85 mph = 43 mph
Therefore, the range speeds of the fastest steel roller coasters in Europe is 45 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 temperature
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
____°.