NEW
Font size
WorksheetsProb & Stats Semester Exam
Total questions: 80
Worksheet time: 13hrs 20mins
Joe scores 70% on a 50-point test and 90% on a 100-point test. What is the weighted mean?
80%
83%
85%
87%
Mr. A records the # of students in class daily. What type of graph should he use to show how attendance varies during the year?
Pie graph
Pictograph
Time series graph
Pareto chart
A coin has 2 sides. If we say the chance of getting a head is ½, that’s an example of what type of probability?
empirical
subjective
classical
all of these
What is the midpoint of the class 9.5 – 14.5?
12
12.5
12.25
13
A commercial states a car is 15% more fuel efficient. This is an example of what?
Changing the subject
detached statistics
ambiguous averages
Suspect samples
What do we call a characteristic of a subject that can assume different values?
datum
sample
variable
exponent
If the mean of a data set is 10 and its variance is 4, what is its coefficient of variation?
0.2
0.4
2.5
5
What is the classical probability that a coin, tossed 4 times, will come up “heads” on all 4 tosses?
1/2
1/4
1/8
1/16
A continuous variable can have …
no values
a finite whole number of values
infinitely many values
two values
Mathematical probabilities can have values of …
between -1 and +1
between 0 and 1 inclusive
any positive real number
any integer
In a frequency distribution …
The frequency for each class is greater than zero
There is only one possible frequency
Each frequency must be a whole number
None of these
In a normal distribution, an element in the 35th percentile lies within the ____ quartile.
1st
2nd
3rd
middle
A # between 1 and 50 is chosen. What is the probability that at least one of the digits is 4?
1/10
13/50
7/25
2/7
What is the probability that an unweighted die, rolled 3 times, will show the face with 5 dots on all 3 rolls?
1/6
3/5
1/216
1/125
What is the probability of choosing a random number between 1 and 50 that is a multiple of 9?
1/9
1/10
9/50
50/9
You draw a card, put it back, and draw a new card. What is the probability of drawing two diamonds?
1/4
1/8
1/16
1/169
A graph that shows proportions that look like pizza slices is called a …
histogram
bar graph
nomograph
pie graph
If temperature readings include a high of 18.2oC and a low of 11.6oC, what is a reasonable range for the temperature scale on a graph of this data?
0.0oC to 100.0oC
10.0oC to 20.0oC
–100.0oC to 100.0oC
10.0oC to 50.0oC
If data download speed in bits per second (bps) is plotted as a function of time, data speed is considered…
the dependent variable
a constant function
the independent variable
nondecreasing
If every student gets exactly half the answers right on a quiz, the standard deviation is…
the mean
zero
the median
impossible to determine
A tabulation of cumulative frequency is useful in determining the…
mode
variance
median
mean
A subset of a population is known as a …
sample
random variable
continuous variable
discrete variable
11 students take a 10-question quiz. One student gets 10 correct, one gets 9 correct, one gets 8 correct, and so on, to one student getting none correct. What is the median?
4.5
5
5.5
none of these
11 students take a 10-question quiz. One student gets 10 correct, one gets 9 correct, one gets 8 correct, and so on, to one student getting none correct. What is the mode score?
4.5
5
5.5
no mode
The largest cumulative absolute frequency in a set of numbers is equal to …
the sum of all the individual frequency values
twice the median
twice the mean
twice the mode
Which of the following is an expression of the extent to which values are spread out relative to the mean?
median
Q2
standard deviation
mode
If, for a 10-question quiz, mean = 7.2 and stdev = 0.72, what is the coefficient of variation?
0.1
10
100
We need n to find CVar
If, for a 10-question quiz, Xmin = 3 and Xmax = 10, what is the 50th percentile?
7
6.5
30.5
We need all the scores to find P50
If you are told you scored at the 91st decile on the SAT, this means …
90 students had scores higher than you
90% of test-takers had scores higher than yours
90% of the test-takers had scores lower than yours
Nothing; there is no such thing as the 91st decile
If you are told you scored at the 91st percentile on the SAT, this means your score …
is among the best
is among the lowest
is near the middle of the range
has low correlation
The arithmetic average of experimental outcomes is known as the …
continuous variable
discrete variable
frequency
mean
If Q1 = 5, Q2 = 8, Q3 = 12, mean = 9, and stdev = 2, what is the IQR?
3
4
7
11
When you randomly draw 2 cards from a deck with replacement, these are ...
complementary events
dependent events
independent events
impossible events
If 80% of students have cell phones & you randomly choose 2 students, P(both have cell phones) =
90%
81%
64%
other
If 80% of students have cell phones & you randomly choose 2 students, P(at least 1 has a cell phone) =
96%
80%
99%
other
Use the table to determine the probability of selecting a marble OR a green item.
356
3523
3525
3516
At a school with 1,000 students, 200 are seniors, 80 are in AVID, and 40 are seniors in AVID. P(senior or in AVID) =
24%
26%
30%
none of these
Roll two dice. P(sum is 10) =
1/36
1/18
1/12
0
Not Mutually Exclusive
Jillian rolled a number cube 360 times. About how many times do you expect her to roll a number less than 3?
2
180
60
120
Find the Z-score.
Mean = 29
Standard Deviation: 3.1
x = 22
2.26
16.45
-2.26
1.26
If a data set has a variance of 9 and a median of 10.1, what is the standard deviation?
6.9
10.1
81
3
Per Chebyshev's theorem, at least what % of a data set will fall within 2 standard deviations of the mean?
75%
89%
50%
99%
What is "variation" in statistics?
A measure of evolutionary change in a species
A measure of how spread out is a data set
A measure of central tendency
The number of items in a data set
Which is NOT a measure of variation?
standard deviation
mean
variance
range
Find the mean of these numbers:
5,11,2,0,4,2
4.1
6
4.5
4
Identify the midrange for the given data:
23, 63, 27, 7, 30, 26, 28, 31, 34
21
14
42
35
Find the median, first quartile, third quartile, and interquartile range of the data.
32, 53, 72, 66, 47, 54, 49, 67, 71
54, 49, 67, 18
54, 48, 69, 21
52, 47, 69, 22
54, 49, 69, 20
Use the interquartile range to identify any outliers in the following data.
23, 22, 25, 16, 27, 93, 29, 40, 35
No outliers.
93 is the only outlier.
16 is the only outlier.
16 and 93 are outliers.
The table shows the swim times for the swimmers in the final heat. Find and interpret the interquartile range of the swim times.
The middle quarter of the swim times vary by no more than 1 second.
The middle half of the swim times vary by no more than 1 second.
The middle quarter of the swim times vary by no more than 1.2 seconds.
The middle half of the swim times vary by no more than 1.2 seconds.
Choose the best answer: The Median is also the ...
the 2nd Quartile
the 50th Percentile
the 5th Decile
all of these
Given the data set: 2, 3, 9, 11, 16, 45, 102, calculate the percentile rank for 9.
50
62.5
72.5
36
Data set A: mean=12, stdev=0.6. Data set B: mean=6, stdev=0.4. Use the Coefficient of Variation to determine which set has less variation.
Set A
Set B
They have the same variation
It is impossible to tell with this information
How many students scored more than 90%?
10
13
7
6
What measure of central tendency (mean, median or mode) would be best for the following set of data?
0, 89, 92, 97, 99, 100
Mode, because it is the one that shows up the most.
Median, because there is an outlier. The outlier would influence the mean too much.
Mean, because you should always use the mean.
There is not a best measure of central tendency for this data.
Which box and whisker plot has the lowest median?
Top plot
Bottom plot
Which has a Median of 1.25?
Zach
Steven
They both have a median on 1
What is the range in gas mileage for SUVs?
2
3
4
6
What shape is the data shown in the dot plot?
symmetrical
clustered to the left
clustered to the right
uniform
What type of graph is shown?
Histogram
Frequency Polygon
Ogive
Line graph
What type of graph is shown?
Histogram
Frequency Polygon
Ogive
Line graph
What type of graph is shown?
Scatter Plot
Dot Plot
Time Series Chart
Pareto Chart
Any possible result of an action is an ...
order
outcome
obstruct
outlier
If a value of 16.5 yd is recorded, what are the boundaries for that value?
16 - 17 yd
15.5 - 16.5 yd
16.0 - 17.0 yd
16.45 - 16.55 yd
The weight of pencils in student lockers is an example of which level of measurement?
nominal
ordinal
interval
ratio
Quantitative variables that have a meaningful zero are called ...
nominal
ordinal
interval
ratio
