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WorksheetsFundamentals of Statistics: Diagnostic
Total questions: 60
Worksheet time: 30mins
The box is brown
quantitative data
qualitative data
The tree is 6 meters tallhe box is brown
quantitative data
qualitative data
The juice tastes like oranges
quantitative data
qualitative data
The jar is full
quantitative data
qualitative data
The jar is full
quantitative data
qualitative data
The chicken laid 15 eggs
quantitative data
qualitative data
COLLEGE ENTRANCE EXAM SCORE
NOMINAL
INTERVAL
ORDINAL
RATIO
TEACHER'S POSITION
NOMINAL
INTERVAL
ORDINAL
RATIO
BEAUTY CONTEST
NOMINAL
INTERVAL
ORDINAL
RATIO
TEMPERATURE IN ARCTIC
NOMINAL
INTERVAL
ORDINAL
RATIO
SALARY OF SOCIAL WORKER
NOMINAL
INTERVAL
ORDINAL
RATIO
BRAND OF PEN
NOMINAL
INTERVAL
ORDINAL
RATIO
AGE (YOUNGEST TO OLDEST)
NOMINAL
INTERVAL
ORDINAL
RATIO
Identify the following data set:
....the rates at which all of the cashiers scan products for a store on a study about the cashiers for the day.
Population
Sample
Identify the following data set:
....a survey of just Mr. Winking’s students in ratings of Meadow creek High School for a study on Meadow creek High School
Population
Sample
You list all of the students alphabetically and choose every sixth student.
stratified sample
convenience sample
systematic sample
cluster sample
You ask all of the students in your statistics class.
stratified sample
convenience sample
systematic sample
cluster sample
You randomly select two students from each classroom
stratified sample
convenience sample
systematic sample
cluster sample
You divide the students in your school according to their zip codes, then select all of the students that live in one zip code.
stratified sample
convenience sample
systematic sample
cluster sample
Mr Holland gives his class a test. The results are:
34%, 44%, 75%, 21%, 98%, 86%, 71%, 76%, 63%, 55%
How many students scored above the mean percentage?
4
5
6
7
Find the median, first quartile, third quartile, and interquartile range of the data.
32, 53, 72, 66, 47, 54, 49, 67, 71
Median: 54
First Quartile: 49
Third Quartile: 67
IQR: 18
Median: 54
First Quartile: 48
Third Quartile: 69
IQR: 22
Median: 54
First Quartile: 48
Third Quartile: 69
IQR: 21
Median: 54
First Quartile: 49
Third Quartile: 69
IQR: 20
What is the range of Susie's Test Scores?
40
30
15
25
Boris the baker bakes a lot of bread. The number of loaves he gets from a batch varies though. Here's how many loaves he's gotten from the last couple batches: 10 loaves, 9 loaves, 10 loaves, 9 loaves, 11 loaves, 8 loaves, 10 loaves.
What is the mode?
9
10
11
8
What is the median?
25
30
35
40
Univariate means
multiple variables
two variables
one variable
none of the above
Bivariate data involves
one variable
two variables
three variables
multiple variables
These are grades for student X in a certain course
Grades (%) : 75, 59, 68, 82, 95, 51, 88, 62, 76
This is an example of_______
Univariate and Bivariate Data
Bivariate Data
Univariate Data
Neither Univariate nor Bivariate Data
What type of data does this graph represent?
Univariate
Bivariate
Trivariate
Multivariate
How many drivers were interviewed regarding their preferred vehicle?
156
240
84
180
What is the relative frequency of students speaking Vietnamese?
15%
12%
16%
17%
What percent of the drivers interviewed are female?
70%
80%
75%
65%
What is the total number of students speaking different languages?
20
25
30
35
What is the relative frequency of students speaking German?
7%
10%
8%
12%
What is the relative frequency of students speaking Spanish?
48%
46%
45%
47%
What is the relative frequency of students speaking Arabic?
22%
24%
23%
25%
What is the first number in the cumulative frequency column?
8
12
96
20
What is the missing number?
4
5
20
36
Which of these could be a cumulative frequency graph?
How many scores were 26 or below?
10
20
What is the standard deviation for the data given:
5, 10, 7, 12, 0, 20, 15, 22, 8, 2
10.1
7.26
6.89
9
.
What is the variance for the data given:
5, 10, 7, 12, 0, 20, 15, 22, 8, 2
47.74
57.22
52.77
47.47
This chart presents categorical data with rectangular bars, heights or lengths.
horizontal graph
bar graph
line graph
pictograph
What is the difference between the shortest and the longest distance of the baseball thrown?
1,025 feet
85 feet
82 feet
1010 feet
What is the highest score in the class?
89
97
95
98
How many students had more than 6 candy bars?
1
2
3
4
Which type of graph is this?
Dot Plot
Stem Plot
Box Plot
Tabular Plot
What type of graph is this?
Bar Chart
Pie Chart
Donut Chart
Stem Chart
Which type of graph is this?
Histogram
Bar Graph
Stem Plot
Box Plot
How many more people like purple than red?
12
14
17
5
We know that the average birth weight for white babies in the US is 3,410 grams and we wish to compare the average birth weight of a sample of black babies to this value.
1 sample z-test for Mean
1 sample t-test for Mean
1 sample z-test for Proportion
1 sample t-test for Proportion
A researcher claims that Republican Party will win in next Senate elections especially in Florida State. A statistical data reported that 23% voted for Republican Party in last election. To test the claim a researcher surveyed 80 people and found 22 said they voted for Republican Party in last election.
1 sample z-test for Mean
1 sample t-test for Mean
1 sample z-test for Proportion
1 sample t-test for Proportion
Suppose the IQ in a population is normally distributed with a mean of μ = 100 and standard deviation of σ = 15. A scientist wants to know if a new medication affects IQ levels, so she recruits 20 patients to use it for one month and records their IQ levels at the end of the month.
1 sample z-test for Mean
1 sample t-test for Mean
1 sample z-test for Proportion
1 sample t-test for Proportion
The Christian population in the US is 75%. But you gathered 1,000 Americans and found out that there are 60% of them who are Christians. Do you think there is enough claim for you to say that your proportion is different?
1 sample z-test for Mean
1 sample t-test for Mean
1 sample z-test for Proportion
1 sample t-test for Proportion
Suppose we want to know whether or not the mean weight between two different species of turtles is equal.
Chi-Square Test
Matched/Paired Sample Test
2-sample Independent Test for Mean
Regression
Is gender independent of education level? A random sample of 395 people were surveyed and each person was asked to report the highest education level they obtained.
Chi-Square Test
Matched/Paired Sample Test
2-sample Independent Test for Mean
Regression
You are a social researcher interested in the relationship between income and happiness. You survey 500 people whose incomes range from 15k to 75k and ask them to rank their happiness on a scale from 1 to 10.
Chi-Square Test
Matched/Paired Sample Test
1-way ANOVA
Regression
A study was conducted to investigate the effectiveness of hypnotism in reducing pain. A lower score indicates less pain. The “before” value is matched to an “after” value and the differences are calculated. The differences have a normal distribution. Are the sensory measurements, on average, lower after hypnotism? Test at a 5% significance level.
Chi-Square Test
Matched/Paired Sample Test
1-way ANOVA
Regression
As a crop researcher, you want to test the effect of three different fertilizer mixtures on crop yield.
Chi-Square Test
Matched/Paired Sample Test
1-way ANOVA
Regression
A genetics engineer was attempting to cross a tiger and a cheetah. She predicted a phenotypic outcome of the traits she was observing to be in the following ratio 4 stripes only: 3 spots only: 9 both stripes and spots. When the cross was performed and she counted the individuals she found 50 with stripes only, 41 with spots only and 85 with both.
Chi-Square Test
Matched/Paired Sample Test
1-way ANOVA
Regression
It is computed by getting the weighted average of all possible values of a random variable.
mean
variance
standard deviation
binomial distribution
