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Mathematics for IGCSE & O level - Categorical, Numerical And Grouped Data (Section 3)

1
What are some things to consider when designing a questionnaire?
Answer
B
C
2
What is the main advantage of using a frequency table?
Answer
(C)
It summarizes and organizes data.
3
When calculating the mean from a frequency table, what must you do with the midpoints of the classes and their frequencies?
Answer
(B)
Multiply each midpoint by its frequency, sum the products, and divide by the total frequency.
4
What is a frequency table used for?
Answer
(B)
To summarize and organize data by grouping it into classes.
5
In a survey, a question is "Do you agree that recycling is important?" What is wrong with this question?
Answer
(A)
It is a leading question.
6
What factors can data collected on two themes show in a two-way table?
Answer
(C)
Where cars were made and their color
7
Which of the following will impact the mean?
Answer
A
B
8
Which average is often quick and easy to find?
Answer
(C)
Median
9
What is the formula for the midpoint of a class interval?
Answer
(B)
(Upper class limit + Lower class limit) / 2
10
What is a good thing when asking questions?
Answer
A
B
C
11
Which of the following statements is NOT true about the mean?
Answer
(D)
It always has to be a whole number.
12
Which type of data collection is discussed in the text?
Answer
(A)
Surveys
13
What is a survey used for?
Answer
(B)
To collect data
14
Which of the following is NOT a measure of average?
Answer
(B)
Range
15
If a set of data contains the numbers 1, 2, 3, 4, 5, what is the median?
Answer
(C)
3
16
What is the purpose of collecting and grouping data?
Answer
(B)
To set a survey
17
What should be considered when comparing sets of data?
Answer
A
B
C
D
18
In a survey, a school collected data about how many siblings students had. Would this data be considered?
Answer
(B)
Numerical data
19
In a frequency table, what does the 'Frequency' column represent?
Answer
(B)
The number of times a certain value or range of values occurs.
20
What should you consider when comparing data sets?
Answer
B
C
D
21
Why is the size of your sample important?
Answer
(C)
If a sample is too small the results may be very unreliable
22
Which is an example of a bad question to ask in a questionnaire?
Answer
(C)
Do you eat sweets a lot?
23
The mean is the same as which value?
Answer
(C)
Average
24
What does the range of a data set measure?
Answer
(B)
The spread of the data
25
Which of the following is a limitation of using only the range to describe a data set?
Answer
(A)
It only considers the extreme values, not the distribution of data.
26
Why is calculating the mean using class midpoints an estimate?
Answer
(A)
Because you can't know the individual values within each class.
27
In which of the following scenarios would the mode be the most useful measure of average?
Answer
(B)
Determining the most popular shoe size sold in a store.
28
What measure of average is found by adding all values then dividing by the number of values?
Answer
(D)
Mean
29
What is an important thing to ensure when designing a questionnaire?
Answer
(B)
Make your questions clear
30
What must be the same?
Answer
(D)
Both a and b
31
Which of the following is an example of continuous data?
Answer
(C)
The height of a tree.
32
Which of the following is true about the median when dealing with grouped data?
Answer
(D)
The median is the data value found at the middle value of the data.
33
What is a frequency table?
Answer
(C)
A table of tallies with totals
34
What is involved in comparing data sets?
Answer
A
B
C
D
35
What do you need to find the mean?
Answer
(B)
The sum of data values
36
If a data set is 2, 4, 6, 8, 10, what is the median?
Answer
(C)
6
37
What should be avoided when designing a questionnaire?
Answer
A
B
38
What is an example of a task that involves collecting and grouping data?
Answer
(C)
Setting a survey
39
What does range measure?
Answer
(B)
The spread of data
40
Which of the following is an advantage of using the median?
Answer
(B)
Useful for small data sets
41
What type of value does the mean use?
Answer
(C)
Sum of all values
42
Which measure of average is most affected by extreme values (outliers) in a dataset?
Answer
(C)
The mean.
43
When should you do a pilot survey?
Answer
(A)
Before collecting the data
44
When are values said to have a greater range?
Answer
(B)
More spread out
45
What is involved when comparing data sets?
Answer
A
B
C
D
46
Which average should be used to determine the most common score on a test?
Answer
(C)
Mode
47
Why is the mean sometimes not the best average to use?
Answer
(C)
It can be skewed by outliers.
48
How do you make a tally chart?
Answer
(B)
Count the values in each set of data
49
Which of these values is used to find the mean?
Answer
(D)
All of the values added up
50
What does range describe?
Answer
(B)
The spread of data