Question

Use the table to answer the question.

Group A l 18 l 20 l 46 l 34 l 58 l 31 l 41 l
Group B l 15 l 21 l 32 l 42 l 29 l 57 l 39 l

The table shows the times, in minutes, spent shopping by two different groups. First find the mean times each group went shopping. Then determine the difference in the mean times. Round your answers to one decimal point. (2 points)

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 differ by (_).

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the mean time spent shopping for each group, we need to sum up all the times and then divide by the number of values in each group.

For Group A:
Total time = 18 + 20 + 46 + 34 + 58 + 31 + 41 = 248 minutes
Number of values = 7
Mean time = 248 / 7 = 35.4 minutes

For Group B:
Total time = 15 + 21 + 32 + 42 + 29 + 57 + 39 = 235 minutes
Number of values = 7
Mean time = 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 mean time Group A and Group B spent shopping differ by 1.8 minutes.

Answer 2

Which data set has the highest median?

A. {11, 15, 16, 8, 12, 14}
B. {1, 10, 8, 29, 14, 17, 3}
C. {1, 6, 15, 7, 15, 18, 14}
D. {8, 20, 13, 14, 12, 9}

Answer 3

[AI-generated answer — Bot GPT 3.5]

To find the median for each data set, we first need to arrange the values in each set in ascending order.

A. {8, 11, 12, 14, 15, 16}
Median: (12 + 14) / 2 = 13

B. {1, 3, 8, 10, 14, 17, 29}
Median: 10

C. {1, 6, 7, 14, 15, 15, 18}
Median: 14

D. {8, 9, 12, 13, 14, 20}
Median: (12 + 13) / 2 = 12.5

The data set with the highest median is set B with a median of 10.

Answer 4

Use the table to answer the question.

Value per house l Number of houses
$150,000 2
$220,000 4
$ 490,000 3
$ 540,000 2
$ 800,000 5
$ 975,000 2

The value of several houses on Mango street are displayed on the table. What is the median value of these houses?

$(_)

Answer 5

[AI-generated answer — Bot GPT 3.5]

To find the median value of the houses on Mango street, we first need to list all the values in ascending order:

$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 a total of 18 houses, which is an even number. To find the median, we need to average the two middle values:

Median = ($490,000 + $540,000) / 2
Median = $515,000

Therefore, the median value of the houses on Mango street is $515,000.

Answer 6

Theo, Ara, Jose, and Dana all got 100 percent on their latest math test. Their scores on previous six tests are listed. Whose mean test score will increase the most?

A. Dana: 68, 74, 83, 80, 81, 81
B. Ara: 100, 98, 99, 97, 100, 100
C. Theo: 84, 88, 81, 85, 77, 76
D. Jose: 91, 93, 97, 96, 96, 96

Answer 7

[AI-generated answer — Bot GPT 3.5]

We need to calculate the mean (average) test score for each student for the previous six tests and then compare the increase in the mean test score after receiving a perfect score on the latest test.

A. Dana:
Mean of previous six tests = (68 + 74 + 83 + 80 + 81 + 81) / 6 = 79.5
Increase in mean = 100 - 79.5 = 20.5

B. Ara:
Mean of previous six tests = (100 + 98 + 99 + 97 + 100 + 100) / 6 = 99.0
Increase in mean = 100 - 99.0 = 1.0

C. Theo:
Mean of previous six tests = (84 + 88 + 81 + 85 + 77 + 76) / 6 = 82.8
Increase in mean = 100 - 82.8 = 17.2

D. Jose:
Mean of previous six tests = (91 + 93 + 97 + 96 + 96 + 96) / 6 = 95.8
Increase in mean = 100 - 95.8 = 4.2

The student whose mean test score increased the most after getting 100 percent on the latest test is Dana with an increase of 20.5 points.

Answer 8

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 the fastest steal roller coasters in Europe ( in miles per hour)
Stem leaf
7 4 5 5 5
8 0 0 3 4 8
9 9
11 1

key: 7 l 4= 74 miles per hour

Speeds of the fastest steel roller coasters in North America (in miles per hour)

Canada l 90 l 128 l 91
U.S. l 93 l 120 l 100
Mexico l 95 l 92 l 85

find the range of the spread 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 steal roller coasters in North America is (_) MPH.

Answer 9

[AI-generated answer — Bot GPT 3.5]

To find the range of the spread of the speeds of the fastest steel roller coasters on both continents, we first need to calculate the range for each continent.

For Europe:
Fastest coaster speed in Europe = 114 (from the stem-and-leaf plot)
Slowest coaster speed in Europe = 74
Range in Europe = 114 - 74 = 40 MPH

For North America:
Fastest coaster speed in North America = 128
Slowest coaster speed in North America = 85
Range in North America = 128 - 85 = 43 MPH

Therefore, the range of the speeds of the fastest steel roller coasters in Europe is 40 MPH and the range of the speeds of the fastest steel roller coasters in North America is 43 MPH.