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WorksheetsStatistics Exam 1
Total questions: 68
Worksheet time: 2hrs 16mins
When a value is collected and reported for a sample data distribution, the value is referred to as a...
Statistic
Parameter
Discrete Variable
Response Variable
What relationship will often yield a skewed right data distribution?
Mean < Median
Mean < Mode
Mean > Median
Mean > Mode
What does the mean not represent?
The balance point of quantitative data.
The sum of the numbers divided by the total number of observations.
A number x̅ such that all deviations x - x̅ sum to zero.
The average of the deviations summed over all observations.
Choose whether the following data is more likely skewed left, skewed right, or symmetric. The average salaries of Major League Baseball players.
Skewed Right
Skewed Left
Symmetric
Using the 1-var Stats function of the TI calculator, what are the mean and median, respectively, for the distribution {2, 5, 6, 1, 2, 5, 14, 15, 18, 19, 23, 24, 24, 24, 29, 18, 15, 16, 18, 21, 23, 25, 17, 17, 18, 18, 19}?
16, 19
16.15, 19
16.15, 18
16, 18
Using the 1-var Stats function of the TI calculator, what is the sample standard deviation for the distribution {2, 5, 6, 1, 2, 5, 14, 15, 18, 19, 23, 24, 24, 24, 29, 18, 15, 16, 18, 21, 23, 25, 17, 17, 18, 18, 19}?
7.62
8
7
7.77
Suppose the data distribution {4, 4, 4, X} has a sample standard deviation of 2. What must X be?
0 or 8
4 or 0
1
9 or 0
Suppose the scores for three exams of equal weight are 56, 78, and 84. What must the score of the fourth test be to raise your mean test score exactly 4 points. Round to 2 decimal places.
89.31
88.67
90.01
88.12
A recent GSS survey asked respondents how many close friends they had. For a sample of 1467 people, the mean was 7.4 and the sample standard deviation was 11.0. The distribution had a median of 5 and a mode of 4. What shape do you expect for the distribution?
Skewed to the Right
Skewed to the Left
Symmetric
What is the median of this sample distribution?
{3 , 17 , 17 , 11 , 8 , 13 , 5 , 18}
11
12
13
17
At Dominique's Donuts the number of donut holes in a bag can vary. Help Dominique find the mode of the following sample distribution:
{12,10,10,10,13,12,11,13,10}
13
12
11
10
Ervin bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Ervin's scores?
193
127
60
66
Is the Cars dot plot skewed left or right?
Left
Right
True or False: This is a histogram.
True
False
How many of the students had an ACT composite score less than 30?
5
9
20
26
What does a z-score of 2.15 mean?
The observation is 2.15 units above the mean.
The observation is 2.15 standard deviations above the mean.
The observation is 2.15 units below the mean.
The observation is 2.15 standard deviations below the mean.
What does a z-score of 0 mean?
The observation is equal to the mean.
The observation is 0 points.
There is no data.
You can't tell unless you know the data is normal.
What does a z-score of -3.1 mean?
The data observation is 3.1 units below the mean.
The data observation is 3.1 units above the mean.
The data observation is 3.1 standard deviations below the mean.
The data observation is 3.1 standard deviations above the mean.
A form of graph in which numerical values are represented by horizontal or vertical rectangles, used to display categorical data.
Contingency Table
Pie Chart
Frequency Table
Bar Graph
What is the name of a table that lists the categories in a categorical variable and gives the number of observations for each category?
Chart
Bar Graph
Cell
Frequency Table
This graphical summary shows how a unit divides into categories by showing a wedge of a circle whose area corresponds to the proportion in each category.
Pie Chart
Line Graph
Bar Graph
Segmented Bar Graph
What is the sample standard deviation for the distribution {5, 10, 7, 12, 0, 20, 15, 22, 8, 2}? [Try this one by hand since you'll be asked to do so on the exam.]
6.89
10.1
7.26
9
What is the MAD for the distribution {5, 10, 7, 12, 0, 20, 15, 22, 8, 2}? [Try this one by hand since you'll be asked to do so on the exam.]
7.1
7.26
5.72
6.89
All of the distributions below have the same mean.
Distribution 1: s=3.1
Distribution 2: s=4.9
Distribution 3: s=1.7
Distribution 4: s=3.2
Which distribution of data probably has the points closest to the mean?
1
2
3
4
Determine the balance point of this set of data distribution.
D
E
F
C
What is the balance point from the given sample distribution?
4
5
6
7
What is the balance point from the given sample distribution?
6
8
7
5
Johnny joins the track team and his coach is trying to find out the speed of an average runner on the team. The coach finds a few of the runners are significantly faster than the others. Which measure of center should Johnny's coach likely use to estimate the speed of the "average" runner?
Mean
Median
Mode
If there is an outlier observation in a distribution causing skew, what measure of center would most likely be the best to quantify the center of the distribution?
Mean
Median
Mode
If there is no outlier observation in a distribution so it's relatively symmetric, what measure of center would most likely be the best to quantify the center of the distribution?
Mean
Median
Mode
Find the z-score for x given the following:
Mean = 22
Sample Standard Deviation = 3.1
x = 29
2.26
16.45
-2.26
1.26
Find the z-score for x given the following distribution:
{23, 15, 4, 11, 1, 29, 30, 17}
x = 30
1.28
5.3
-6.5
8.2
Which exam score x is better relative to the given mean and sample standard deviation?
A: x = 70, s = 8, x = 88
B: x = 75, s = 5, x = 88
A
B
What is the term that refers to a collection of observations that also indicates the frequencies of the observations?
Observations
Histogram
Distribution
Scatter plot
What term refers to the quantity x - x ?
Deviation
Sample standard deviation
Mean absolute deviation
Z-score
A z-score can be positive, negative, and zero, but a sample standard deviation cannot be negative.
True
False
What component of statistics pertains to researchers making predictions or conclusions about a population based on the statistics reported for a sample?
Design
Description
Inference
Statistics
Suppose the distances in miles between homes and Georgia College for a sample of faculty is reported. What is the most likely value for s?
0
1
23
123
What measure of spread represents the average of the distances of the observations from the mean?
Mean Absolute Deviation
Deviation
Sample Standard Deviation
Absolute Values of Deviations
What measure represents the signed distance of an observation from the mean?
Mean Absolute Deviation
Deviation
Sample Standard Deviation
Absolute Value of Deviations
Descriptive statistics involves...
collection, presentation, and description of sample data
the technique of interpreting the values resulting from the descriptive techniques and making decisions and drawing conclusions about the population
attempting to provide incorrect information and provide misleading graphs
using information, numbers, and graphics even when data can't be collected
Inferential statistics involves...
collection, presentation, and description of sample data
the technique of interpreting the values resulting from the descriptive techniques and making decisions and drawing conclusions about the population
attempting to provide incorrect information and provide misleading graphs
using information, numbers, and graphics even when data can't be collected
The POPULATION in statistics is best described by...
a collection, or set, of individuals, objects, or events whose properties are to be analyzed
the total number of people that live in a particular city
the incomplete collection of individuals or objects that are of interest to the sample collector
a collection of people that are being analyzed for membership on a list of particular elements to be studied
A sample is...
a subset of a population
an infinite selection of a population
a characteristic of a population
a data value generated by the statistical information
A variable (or response variable) is
a characteristic of interest about each individual element of a population or sample
a characteristic that is irrelevant to the collection of the data
a characteristic that changes when the data is collected
a characteristic or trait that will be ignored in a sample population
A parameter is...
a planned activity whose results yield a set of data
a numerical value that summarizes all of the data of an entire population
the set of values collected from the variable from each of the elements that belong to the sample
A numerical value summarizing the sample data
A statistic is...
a planned activity whose results yield a set of data
a numerical value that summarizes all of the data of an entire population
the set of values collected from the variable from each of the elements that belong to the sample
A numerical value summarizing the sample data
A discrete variable...
is a qualitative variable that characterizes, describes, or names an element of a population
is a qualitative variable that incorporates an ordered position, or ranking
a quantitative variable that can assume a countable number of values, in other words, there is a gap between any two values
a quantitative variable that can assume an uncountable number of values, in other words, it includes every possible value between any two values
A continuous variable...
is a qualitative variable that characterizes, describes, or names an element of a population
is a qualitative variable that incorporates an ordered position, or ranking
a quantitative variable that can assume a countable number of values, in other words, there is a gap between any two values
a quantitative variable that can assume an uncountable number of values, in other words, it includes every possible value between any two values
Calculate the relative frequency of having an IQ score in the 131-140 range. (200 7th graders were surveyed).
8%
4%
20%
15.5%
On a recent test, one class of 26 students had a mean score of 78%, while another class of 32 students had a mean score of 86%. What is the overall mean of the two classes combined?
82
82.4
81
83
