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Mathematics for IGCSE & O level - Categorical, Numerical And Grouped Data (Section 1)

1
When might the mean be misleading?
Answer
(A)
When there are outliers
2
What is a pilot survey for?
Answer
(C)
To test the question
3
What is the purpose of a pilot survey?
Answer
(B)
To check if the survey is well designed
4
When creating a good questionnaire, what must it include?
Answer
(C)
Clear questions
5
What is the relationship between frequency and class width?
Answer
(B)
There is no direct relationship.
6
In a data set 1, 2, 3, 4, 5, 6, 7, what is the median?
Answer
(B)
4
7
If you have the following data set: 1, 1, 2, 3, 5, 8, 13. What is the median?
Answer
(C)
3
8
Which is the best average to use for a small sample of numbers?
Answer
(B)
Median
9
What should you do when calculating the mean of grouped data?
Answer
(C)
Use the midpoints of each class.
10
In the example of the school height data, what does the frequency represent?
Answer
(C)
The number of students whose heights fall within a certain class interval.
11
What are some ways to eliminate bias in a survey?
Answer
A
B
12
What's the main purpose of a questionnaire?
Answer
(B)
To collect data
13
What is collected and grouped?
Answer
(C)
Data
14
What is a good approach to use when you are dealing with the number of students in a family?
Answer
(D)
All of the above
15
What is the primary purpose of calculating the mean for a dataset?
Answer
(C)
To describe the average value of the data.
16
What should you avoid in a survey?
Answer
(B)
Leading questions
17
When should the mean be used instead of the median?
Answer
(B)
When the data is perfectly symmetrical.
18
What data can be shown in two-way tables?
Answer
A
B
C
19
What is the best way to show the results?
Answer
(D)
All of the above
20
Which of the following are measures of average?
Answer
A
C
D
21
What can be shown with a two-way table?
Answer
(D)
All of the above
22
What type of chart is recommended for making a frequency table?
Answer
(A)
Tally chart
23
What is involved in good sampling?
Answer
(A)
Having no bias
24
What does the frequency table show?
Answer
(C)
The tally of each data value
25
What is the main reason for grouping data into classes?
Answer
(B)
To represent data in a more organized form.
26
What can you use a pilot survey for?
Answer
(B)
Testing the questions
27
What does a frequency table show?
Answer
(C)
The frequencies of the tallies
28
What does the range describe?
Answer
(A)
Spread of data
29
What are the steps to find the mean?
Answer
(A)
Add up the values, and divide by the amount of data
30
Which of the following is NOT a measure of spread?
Answer
(D)
Mean
31
What can be found in a two-way table?
Answer
A
B
32
In a frequency table for grouped data, what is the purpose of multiplying the midpoint by its frequency?
Answer
(B)
To help calculate an estimate of the mean.
33
What does the median measure?
Answer
A
C
D
34
Which of these are helpful in comparing data?
Answer
A
B
C
D
35
What is a weakness of using the mode?
Answer
(C)
It can be more than one value, or none.
36
What is the disadvantage of the median?
Answer
(D)
Can be unreliable for small sample
37
What can cause the mean to be misleading?
Answer
(B)
There are outliers
38
What does the term 'class interval' refer to in the context of grouped data?
Answer
(B)
The range of values within a group.
39
When working with grouped data, how is the median estimated?
Answer
(C)
By identifying the class in which the median lies.
40
What is the key difference between discrete and continuous data?
Answer
(B)
Discrete data is always whole numbers, while continuous data can take any value within a range.
41
If a dataset contains the values: 1, 2, 2, 3, 4, 4, 4, 5, what is the mode?
Answer
(C)
4
42
What does the range of a dataset represent?
Answer
(C)
The difference between the highest and lowest values in the dataset.
43
Which of the following is the smallest type of average?
Answer
(C)
Range
44
How should you design a good questionnaire?
Answer
(A)
Clear questions
45
What are teenagers voting about?
Answer
(A)
The best soft drink
46
What does a greater range indicate?
Answer
(A)
The data values are more spread out
47
What is one way to gather data for a survey?
Answer
(B)
A questionnaire
48
What does the range show about the data values?
Answer
(B)
The spread of the data values
49
Which of these is an example of numerical data?
Answer
(B)
Number of siblings
50
What type of sampling is best?
Answer
(A)
Random Sampling