Data Analysis
Name____________________________
1.
An experiment is broken up into two parts. In the first part of the experiment, a six sided die is rolled. In the
second part of the experiment, a dime is tossed in the air. What is the probability of landing on heads?
A.
B.
C.
D.
2. Mike, Shannon, Layla, and Rachel each recorded the grades they received on five tests in their math class in
the table below.
Student
Test Scores
Test 1 Test 2 Test 3 Test 4 Test 5
Mike
82
72
69
92
74
Shannon
84
72
71
76
80
Layla
93
99
98
91
92
Rachel
What is the range of Layla's scores?
A. 8
90
68
63
69
73
B. 27
C. 13
D. 23
3.
The graph above shows a line of best fit for data collected on the number of snow cones sold as a function of
the maximum daily temperatures. What is the equation of the line of best fit?
A.
B.
C.
D.
4. What is the mode of the following set of numbers?
81, 79, 11, 81, 79, 129.55, 79, 129, 11, 129
A. 79
B. 129
C. 129.55
D. 81
5.
Nancy went on a diet over an eight week period. She recorded her weight each week. Which of the following is
the closest to the range of her weights?
A. 30 lbs
B. 40 lbs
C. 55 lbs
D. 50 lbs
6.
A company made a bar graph showing the amount of sales for each month in thousands of dollars. Which of the
following is closest to the median amount of sales for the four-month period?
A. $5,250
B. $5,000
C. $6,750
D. $2,625
7. Margaret sold candles for a fundraiser for school. The number she sold per day over a three-week period are
represented by the box plot below.
What is the interquartile range of her data?
A. 20
B. 23
C. 6
D. 17
8. Halle planted mint and basil seeds in her herb garden. She measured the height of each herb plant at the end
of each week for six weeks. The results are shown in the line graph below.
What is the difference in the mean growth per week for both herbs during the six weeks shown in the graph?
A. 0.4 cm/week
B. 0.6 cm/week
C. 3 cm/week
D. 0.5 cm/week
9.
Britany graphed how long it took a cube of ice to melt at certain temperatures. What is the equation of the line
of best fit above?
A.
B.
C.
D.
10.
Looking at the graph above showing a line of best fit, what is the correlation between the x and y variables?
A. y increases as x increases
B. y decreases as x increases
C. y is constant
D. y decreases as x decreases
11. What is the range of the following set of numbers?
48.1, 37.9, 49.3, 45.1, 43.9, 42.1, 40.9, 52.3, 40.9
A. 11.4
B. 44.5
C. 52.3
D. 14.4
12. Sam's closet contains blue and green shirts. He has eight blue shirts, and seven green shirts. Five of the blue
shirts have stripes, and four of the green shirts have stripes. What is the probability that Sam randomly chooses
a shirt that is blue or has stripes?
A.
B.
C.
D.
E.
13. What is the interquartile range of the following data set?
106, 174, 194, 229, 210, 128, 152
A. 123
B. 82
C. 174
D. 104
14. The local animal shelter showed commercials about adopting pets on one of the local television stations.
The scatter plot below shows the number of pet adoptions and the number of commercials aired over a one
week period.
Based on the trend line, which is the expected number of adoptions
if seven commercials aired?
A. 50
B. 55
C. 40
D. 60
15. The following balls are placed in an urn: 5 red, 6 yellow, 3 blue, and 5 green. One ball is randomly drawn from the
urn. What is the probability that the ball is either yellow or green?
A.
B.
C.
D.
16. There are two jars. One jar contains 2 red gumballs, 3 green gumballs, and 1 yellow gumball. The other jar contains 2
blue balloons and 3 purple balloons. Jeff randomly draws one gumball and then one balloon. What is the probability that
he will draw a green gumball and a blue balloon?
A.
B.
C.
D.
17. Which scatterplot most likely has a line of best fit represented by y = 2x + 1?
W.
X.
Y.
Z.
A. W
B. Z
C. Y
D. X
18. What is the upper quartile, Q3, of the following data set?
56, 53, 48, 62, 64, 76, 44, 71, 50, 68, 59, 36, 51, 61, 41
A. 69
B. 67
C. 70
D. 64
19. In an experiment a six-sided die is rolled a number of times. The results are shown below.
Number Rolled Number of Times Rolled
1
3
2
4
3
8
4
5
5
4
6
6
Based on these results, what is the experimental probability of rolling either a 4 or 5?
A. 1/3
B. 3/10
C. 3/8
D. 1/6
20.
33, 40, 42, 33, 34, 38, 16, 24,
64, 64, 67, 68, 72, 25, 31, 52, 58
Which of the box-and-whisker plots below represents the data set above?
A. X
B. Y
C. W
D. Z
W.
X.
Y.
Z.
Answers
1. B
2. A
3. B
4. A
5. B
6. A
7. C
8. D
9. C
10. B
11. D
12. D
13. B
14. B
15. D
16. C
17. D
18. D
19. B
20. A
Explanations
1. Since each of the six sides of the die has an equal chance of turning up on each roll, the probability of landing
on a particular number during any roll of the die is .
Since each flip of the coin has an equal chance of landing on heads or tails, the probability of landing on heads
is equal to the probability of landing on tails, which is .
Therefore, the probability of landing on heads is shown below.
2. The range of a sample is the difference between the largest and smallest value in the sample. In this case, the
sample is Layla's test scores.
Subtract Layla's lowest test score, 91, from her highest test score, 99.
99 - 91 = 8
3.
4. The mode is the number that appears most often in a set of numbers. In this set, 79 appears most often.
The mode of this set of numbers is 79.
5. To find the range, find the difference between the largest and smallest values.
185 lbs - 145 lbs = 40 lbs
6. In May, there were about 4,500 dollars in sales.
In June, there were 8,000 dollars in sales.
In July, there were about 3,500 dollars in sales.
In August, there were 6,000 dollars in sales.
To find the median amount, put the monthly amounts in order from least to greatest.
$3,500, $4,500, $6,000, $8,000
Since there are 4 amounts, the median amount will be the average of the two middle amounts.
Therefore, the median amount is $5,250.
7. Quartiles separate a data set into 4 equal parts and each of the parts contains 1/4 of the data.
To determine the interquartile range of the data, subtract the first quartile, (17), from the third quartile (23).
23 - 17 = 6
Therefore, the interquartile range of Margaret's data is 6.
8.
To find the mean growth per week, calculate how many centimeters the herb grew per week and then find the
average of those measurements.
First, list the points from the graph for basil.
Week
0
1
2
3
4
5
6
Height
0 cm
3 cm
6 cm
7 cm
12 cm
15 cm
16 cm
Find the growth per week for the basil. Then add these numbers and divide by 6 to find the mean growth per
week.
3 cm + 3 cm + 1 cm + 5 cm + 3 cm + 1 cm
16 cm
=
6 weeks
6 weeks
2.7 cm/week
Next, list the points from the graph for mint.
Week
0
1
2
3
4
5
6
Height
0 cm
2 cm
3 cm
5 cm
8 cm
10 cm
13 cm
Find the growth per week for the mint. Then add these numbers and divide by 6 to find the mean growth per
week.
2 cm + 1 cm + 2 cm + 3 cm + 2 cm + 3 cm
13 cm
=
6 weeks
6 weeks
2.2 cm/week
Now, subtract the two mean growths per week to find the difference.
2.7 cm/week - 2.2 cm/week = 0.5 cm/week
9.
10. The x-axis values are increasing to the right and the y values are decreasing.
Therefore, y decreases as x increases
11. The range is the difference between the smallest number and largest number in a set of numbers. To find the
range, subtract the smallest number (37.9) from the largest number (52.3).
52.3 - 37.9 = 14.4
The range of this set of numbers is 14.4.
12. Given events A and B, use the following formula, defined as the addition rule, to find the probability that A
or B will occur.
Define the events.
The question asks for the probability that either event occurs; therefore, the addition rule must be applied.
Rewrite the addition rule for the given events, B and S.
Calculate P(B), P(S), and P(B
S).
Find P(B). There are 15 total shirts in the closet, and 8 of the shirts are blue.
Find P(S). There are 15 total shirts in the closet, and 9 of the total shirts have stripes.
Find P(B
S). There are 15 total shirts in the closet, and there are 5 shirts that are blue and have stripes.
Substitute P(B), P(S), and P(B
S) into the addition rule formula and simplify to obtain the final answer.
13. First put the numbers in order:
106, 128, 152, 174, 194, 210, 229
The median (Q2) of the whole set is 174. Then find the median of all numbers greater than 174.
194, 210, 229
So, 210 is the upper quartile (Q3).
Next, find the median of all numbers less than 174.
106, 128, 152
So, 128 is the lower quartile (Q1).
To find the interquartile range, subtract the lower quartile from the upper quartile.
(Q3) - (Q1) = 210 - 128 = 82
Therefore, the interquartile range is 82.
14. To determine the number of adoptions in relation to the number of commercials seen, extend the trend line
until it reaches an x-value of seven adoptions. The coordinates for that point are approximately (7,55).
Therefore, approximately 55 adoptions are expected.
15. There are a total of 19 balls in the urn. Of those 19 balls, there are 6 yellow and 5 green, for a total of 11
balls that are either yellow or green.
Therefore, the probability that the ball drawn is either yellow or green is 11 out of 19, or
.
16. The first jar contains 2 red gumballs, 3 green gumballs, and 1 yellow gumball. The second jar contains 2
blue balloons and 3 purple balloons.
The probability of Jeff drawing a green gumball and a blue balloon is calculated below.
17. The given equation has a positive slope.
Since lines of best fit for Z and Y would have negative slopes, they can be ruled out as possible correct answer
choices.
A line of best fit for W has a slope of one and would not represent the given equation.
A line of best fit for X has a slope of two.
Therefore, scatterplot X has a line of best fit which is best represented by the equation y = 2x + 1.
18. First find the median by putting the numbers in order.
36, 41, 44, 48, 50, 51, 53, 56, 59, 61, 62, 64, 68, 71, 76
The median of the entire set is 56.
Then, for the upper quartile, find the median of all numbers greater than 56.
59, 61, 62, 64, 68, 71, 76
Thus, the upper quartile of the data set is 64.
19. The probability of rolling a 4 is 5/30.
The probability of rolling a 5 is 4/30.
5
/30 + 4/30 = 9/30 = 3/10
20. First, write the numbers in ascending order.
16, 24, 25, 31, 33, 33, 34, 38, 40, 42, 52, 58, 64, 64, 67, 68, 72
Then, find the median of the set of numbers.
16, 24, 25, 31, 33, 33, 34, 38, 40, 42, 52, 58, 64, 64, 67, 68, 72
Next, find the median of the numbers below 40. Since there are 8 numbers, average the middle values.
16, 24, 25, 31, 33, 33, 34, 38, 40, 42, 52, 58, 64, 64, 67, 68, 72
Next, find the median of the numbers above 40. Since there are 8 numbers, average the middle values.
16, 24, 25, 31, 33, 33, 34, 38, 40, 42, 52, 58, 64, 64, 67, 68, 72
The extreme values are 16 and 72.
Therefore, box plot X is the correct choice.