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Mathematics for IGCSE & O level - Categorical, Numerical And Grouped Data (Section 4)

1
If two sets of data have the same mean, but one has a much greater range, what does that indicate?
Answer
(A)
The data with the greater range is less consistent
2
Which is a poor method for getting a representative sample?
Answer
(C)
Eliminating bias
3
When can a small dataset make the mean misleading?
Answer
(A)
Outliers
4
What is a class width in a frequency table?
Answer
(B)
The difference between the upper and lower limits of a class interval.
5
What type of data can you show on a two-way table?
Answer
(B)
Categorical
6
When is the mode the most useful measure of central tendency?
Answer
(C)
When dealing with categorical data or finding the most frequent category.
7
In what scenario can the mode not be very useful?
Answer
(A)
When there is no mode
8
What is the difference between the mean and range?
Answer
(A)
The mean is the most simplest average and the range is the measure of spread
9
What can you conclude about a dataset where the range is a very large number?
Answer
(B)
The data has a wide spread.
10
In a stem-and-leaf plot, what is the purpose of the 'leaves'?
Answer
(C)
To show the ones digit of the data values.
11
When you analyse the answers from each question from a questionnaire, what do you need to do?
Answer
B
D
12
What will give you a better impression when using averages?
Answer
A
B
13
If the mean of a dataset is 10, the median is 8, and the mode is 6, what can you conclude about the data distribution?
Answer
(C)
The data is skewed to the right
14
For what type of data would calculating the mode be most useful?
Answer
(C)
The colors of cars in a parking lot
15
What can you use to get a clear picture of data?
Answer
(D)
You can use all three.
16
What do you need to know to calculate an estimate of the mean using grouped data?
Answer
(B)
The frequency of each class and the class midpoints
17
What components are needed for the calculation of the range of a data set?
Answer
A
C
18
In a two-way table, which components must add to the total?
Answer
A
B
19
If the range of a dataset is 0, what does that tell you about the data?
Answer
(C)
All values are identical.
20
What should the questions be when you analyze the answers?
Answer
(A)
Should be clear and relevant
21
When might the median be a more suitable average than the mean?
Answer
(C)
When the data set includes outliers or extreme values
22
What is the meaning of the term 'range' in the context of a dataset?
Answer
(B)
The difference between the maximum and minimum values.
23
In a frequency table, what parts are usually included?
Answer
A
B
C
24
What would the mode be in the following data set: 1, 2, 2, 3, 4, 4, 4, 5?
Answer
(C)
4
25
Which of the following is NOT a measure of dispersion?
Answer
(B)
Mean
26
What is the definition of the median?
Answer
(B)
The middle number
27
What can you deduce by observing a dataset that has a range of 0?
Answer
(C)
All values in the dataset are identical.
28
What is the disadvantage of using the median as a measure of central tendency?
Answer
(B)
It does not utilize all the data values.
29
What is a tally chart?
Answer
(C)
A way of counting
30
Which statements are true regarding the interquartile range (IQR)?
Answer
A
C
31
Which measure is quick and easy to find?
Answer
(C)
The mode
32
What does the range measure about a set of data?
Answer
(C)
How spread out the data is
33
If the range of a dataset is 50, and the minimum value is 10, what is the maximum value?
Answer
(D)
40
34
Which of the following are measures of central tendency?
Answer
A
C
D
35
What is a primary use of the range in statistical analysis?
Answer
(B)
To describe the spread of the data.
36
For which kind of data is it most appropriate to use the mode?
Answer
B
D
37
Which of the following is an example of continuous data?
Answer
(C)
The height of a tree
38
Which statement accurately describes the relationship between range and outliers in a dataset?
Answer
(B)
The range is directly affected by the presence of outliers.
39
Which of the following is a characteristic of continuous data?
Answer
(B)
It can be measured on a scale.
40
What does the mode represent in a set of data?
Answer
(D)
The value that occurs most frequently
41
What is a key step in the data collection process?
Answer
(B)
Designing a data collection sheet
42
How can you ensure that you are getting a representative sample for your survey?
Answer
(C)
By choosing people at random.
43
What is the key difference between discrete and continuous data?
Answer
(C)
Discrete data can be counted, while continuous data is measured.
44
What does a larger range indicate?
Answer
A
C
45
What is a main advantage of the median?
Answer
(B)
It is often quick and easy to find
46
What does a two-way table show?
Answer
(B)
The relationship between two factors.
47
For a set of grouped data, what is the process of obtaining the midpoint of a class interval?
Answer
(B)
Add the lower class limit and upper class limit, then divide by 2
48
What does a questionnaire help you with?
Answer
(A)
To gather data by asking different sets of questions.
49
In the context of comparing two sets of data, which measure of average is least affected by extreme values?
Answer
(C)
Median
50
What is a pilot survey?
Answer
(B)
A preliminary survey to test the questions