Mathematics for IGCSE & O level - Categorical, Numerical And Grouped Data (Section 6)
1
Which of the following is a disadvantage of using the mode?
Answer(B)
It may not exist or be unique.
2
What are the factors you have to consider when dealing with averages?
3
When can the mode be useful?
4
What is a main use of tally charts?
Answer(B)
To organize data for frequency tables.
5
What must you eliminate to get a fair and representative sample?
6
What kind of question should you avoid in a questionnaire?
7
When can you make a comparison of the values?
8
Which of the following accurately describes continuous data?
Answer(B)
Data that can be measured on a continuous scale.
9
When collecting data from every individual in a class, the appropriate method to be used would be?
Answer(B)
Make a list like the one shown in the picture
10
Which of the following statements correctly describe what a box plot displays?
11
What are the two main things you must do for a survey?
Answer(D)
Ensure that the questions are clear and choose a random sample.
12
What is the most important thing to note when designing a questionnaire?
13
When is the mean the best average to use?
Answer(B)
When the data is clustered closely together and has no significant outliers.
14
When can the median be a better indicator?
15
What is an advantage of using the median as a measure of average?
Answer(C)
It is not affected by outliers.
16
What does a wide range generally indicate about a dataset?
17
For a dataset with the values 10, 20, 30, 40, 50, what is the median?
18
When choosing the right average to analyze, what are the factors you need to know?
19
What do you use to find the range?
Answer(B)
The difference between the highest and lowest data values.
20
Which of the following does NOT help when designing a questionnaire?
Answer(C)
Ask leading questions that influence the answer.
21
What kind of data does a frequency table summarize?
Answer(D)
Both categorical and numerical data.
22
What is a key characteristic of a good questionnaire question?
23
In a dataset, the range is best described as a measure of:
Answer(B)
Dispersion or variability.
24
What are the advantages of the mean?
25
In a frequency table, what do the class limits define?
Answer(B)
The range of values within a class.
26
Which of the following is NOT a characteristic of a frequency table?
Answer(C)
It calculates the mean of the data.
27
Answer(A)
It is the average of a data.
28
What is the purpose of adding a 'More than...' row in a frequency table?
Answer(D)
To account for all other responses in case the answers don't fit into the existing rows.
29
What should you do with the questions if the survey is a pilot survey?
Answer(B)
Change some or all of your questions.
30
What elements are necessary to fully describe a frequency distribution?
31
What should you do before sending your questionnaire to everyone?
Answer(B)
Ask a few people to review it.
32
When is the median a better measure of average than the mean?
Answer(C)
When the data has outliers or extreme values.
33
What is the disadvantage of using the mean as a measure of central tendency?
Answer(B)
It is affected by extreme values.
34
In a data set where all values are identical, what is the relationship between the mean, median, and mode?
35
What is the main purpose of a tally chart?
36
In a two-way table, where can you find the total?
Answer(D)
By adding rows and columns.
37
What does a small range suggest about a dataset?
Answer(B)
The data values are closely clustered.
38
What should you do to ensure a representative sample?
39
Which average is quick and easy to find in a small number of samples?
40
When designing a questionnaire, you must make sure that the choices you give are:
Answer(C)
Neither too few nor too many.
41
What are the main steps in creating a frequency table?
42
Which of the following statements is true regarding the median of a dataset?
Answer(C)
It divides the data into two equal halves.
43
Which method is best when you want to collect data from everyone?
Answer(B)
Survey everyone in the class individually.
44
What does the range measure?
Answer(B)
How spread out the data values are.
45
Which of the following would be a method to ensure a fair and representative sample in a school survey?
Answer(C)
Randomly sampling from all students
46
Which average is unaffected by high or low data values?
47
If the data set is: 1, 1, 2, 3, 4, 4, 4, 5, what are the mean and the median?
48
What can be said about the relationship between the mean and the median in a perfectly symmetrical distribution?
Answer(C)
The mean and median are equal.
49
What can you say about a dataset if the mean is substantially greater than the median?
Answer(C)
The data is skewed to the right.
50
Which of the following will always be a numerical data?
