Qusetion 1 Find the range for the given sample data. Jeremy called eight applian
ID: 3248521 • Letter: Q
Question
Qusetion 1
Find the range for the given sample data.
Jeremy called eight appliance stores and asked the price of a specific model of microwave oven. The prices quoted are listed below:
$115 $548 $222 $580 $359 $285 $317 $492
$548
$63
$465
$115
Question 2
Find the median for the given sample data.
The temperatures (in degrees Fahrenheit) in 7 different cities on New Year's Day are listed below.
17 22 39 58 67 69 85
Find the median temperature.
51°F
58°F
67°F
39°F
Question 3
Construct a modified boxplot for the data. Identify any outliers.
The weights (in ounces) of 27 tomatoes are listed below.
1.7 2.0 2.2 2.2 2.4 2.5 2.5 2.5 2.6
2.6 2.6 2.7 2.7 2.7 2.8 2.8 2.8 2.9
2.9 2.9 3.0 3.0 3.1 3.1 3.3 3.6 4.2
Question 4
54.5 mph
56.5 mph
62.2 mph
59.3 mph
Question 5
21.5 months
58.5 months
54.4 months
50.7 months
Question 6
Find the number of standard deviations from the mean. Round your answer to two decimal places.
The number of assists per match for the setter on your school's volleyball team has a mean of 55 and a standard deviation of 8. How many standard deviations from the mean is an outing with 74 assists?
1.19 standard deviations below the mean
2.38 standard deviations above the mean
2.38 standard deviations below the mean
1.19 standard deviations above the mean
Question 7
Find the number of standard deviations from the mean. Round your answer to two decimal places.
In one town, the number of pounds of sugar consumed per person per year has a mean of 8 pounds and a standard deviation of 1.6 pounds. Tyler consumed 12 pounds of sugar last year. How many standard deviations from the mean is that?
2.50 standard deviations below the mean
1.33 standard deviations below the mean
2.50 standard deviations above the mean
1.33 standard deviations above the mean
Question 8
Construct a boxplot for the given data. Include values of the 5-number summary in all boxplots.
The weights (in pounds) of 30 newborn babies are listed below. Construct a boxplot for the data set.
5.5 5.7 5.8 5.9 6.1 6.1 6.3 6.4 6.5 6.6
6.7 6.7 6.7 6.9 7.0 7.0 7.0 7.1 7.2 7.2
7.4 7.5 7.7 7.7 7.8 8.0 8.1 8.1 8.3 8.7
Question 9
Find the mode(s) for the given sample data.
The speeds (in mi/h) of the cars passing a certain checkpoint are measured by radar. The results are shown below.
42.7 41.4 44.9 41.5 46.0
46.0 41.4 40.6 47.9 41.5
42.7 40.6 41.5 39.8 41.4
44.3 44.3 44.9 49.5 42.7
41.4
42.7
42.7, 41.5, 41.4
41.87
Question 10
Find the percentile for the data value.
Data set: 51 34 47 67 66 62 36;
data value: 51
20
43
57
50
Question 11
Find the number of standard deviations from the mean. Round your answer to two decimal places.
Mario's weekly poker winnings have a mean of $323 and a standard deviation of $50. Last week he won $177. How many standard deviations from the mean is that?
1.46 standard deviations below the mean
2.92 standard deviations above the mean
2.92 standard deviations below the mean
1.46 standard deviations above the mean
Question 12
Find the indicated measure.
The weights (in pounds) of 30 newborn babies are listed below. Find P16.
5.5 5.7 5.8 5.9 6.1 6.1 6.4 6.4 6.5 6.6
6.7 6.7 6.7 6.9 7.0 7.0 7.0 7.1 7.2 7.2
7.4 7.5 7.7 7.7 7.8 8.0 8.1 8.1 8.3 8.7
5.9 lb
4.8 lb
6.0 lb
6.1 lb
Question 13
Find the number of standard deviations from the mean. Round your answer to two decimal places.
The annual snowfall in a town has a mean of 39 inches and a standard deviation of 10 inches. Last year there were 64 inches of snow. How many standard deviations from the mean is that?
2.50 standard deviations below the mean
2.50 standard deviations above the mean
0.45 standard deviations below the mean
0.45 standard deviations above the mean
Question 14
Find the mean for the given sample data. Unless indicated otherwise, round your answer to one more decimal place than is present in the original data values.
Andrew asked seven of his friends how many cousins they had. The results are listed below. Find the mean number of cousins.
16 11 4 9 5 2 8
7.4 cousins
9.2 cousins
7.9 cousins
9.4 cousins
Question 15
1.45
3.77
2.45
9.80
Question 16
Construct a boxplot for the given data. Include values of the 5-number summary in all boxplots.
The test scores of 40 students are listed below. Construct a boxplot for the data set.
25 35 43 44 47 48 54 55 56 57
59 62 63 65 66 68 69 69 71 72
72 73 74 76 77 77 78 79 80 81
81 82 83 85 89 92 93 94 97 98
Question 17
Find the standard deviation for the given sample data. Round your answer to one more decimal place than is present in the original data.
Christine is currently taking college astronomy. The instructor often gives quizzes. On the past seven quizzes, Christine got the following scores:
40 20 31 21 12 55 75
31
12,196
9216.6
22.3
Question 18
Find the number of standard deviations from the mean. Round your answer to two decimal places.
The number of hours per day a college student spends on homework has a mean of 4 hours and a standard deviation of 0.75 hours. Yesterday she spent 3 hours on homework. How many standard deviations from the mean is that?
1.33 standard deviations below the mean
0.67 standard deviations below the mean
0.67 standard deviations above the mean
1.33 standard deviations above the mean
Question 19
Find the median for the given sample data.
The normal monthly precipitation (in inches) for August is listed for 20 different U.S. cities. Find the median of the data.
3.5 1.6 2.4 3.7 4.1
3.9 1.0 3.6 4.2 3.4
3.7 2.2 1.5 4.2 3.4
2.7 0.4 3.7 2.0 3.6
3.45 in.
3.40 in.
3.50 in.
2.94 in.
Question 20
Use the empirical rule to solve the problem.
At one college, GPA's are normally distributed with a mean of 3.1 and a standard deviation of 0.6. What percentage of students at the college have a GPA between 2.5 and 3.7?
84.13%
99.7%
95%
68%
Question 21
Find the number of standard deviations from the mean. Round your answer to two decimal places.
The test scores on the Chapter 3 mathematics test have a mean of 62 and a standard deviation of 11. Andrea scored 86 on the test. How many standard deviations from the mean is that?
2.18 standard deviations below the mean
0.59 standard deviations below the mean
0.59 standard deviations above the mean
2.18 standard deviations above the mean
Question 22
Provide an appropriate response.
For data which are heavily skewed to the right, P10 is likely to be closer to the median than P90. True or false?
True
False
Question 23
Find the mode(s) for the given sample data.
-20 -45 -46 -45 -49 -45 -49
-45
-46
-42.7
-49
$548
$63
$465
$115
Explanation / Answer
1) in the given data $115, $548, $222, $580, $359, $285, $317, $492
Minimum=$115 Maximum=$580 Range = Maximum-minimum = 580-115 = $465
2) Given data 17 22 39 58 67 69 85
Since it is in ascending order, median = 4th observation = 580F
9) In the given data 42.7, 41.5, 41.4 repeated 3 times each
Mode of the data - 42.7, 41.5, 41.4
23) In the given data -45 repeated 3 times
Mode=-45
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