Mathematics for IGCSE & O level - Categorical, Numerical And Grouped Data (Section 5)
1
What is the range of the data set: 3, 3, 4, 5, 6, 6, 6, 7?
Răspuns
(D)
3
2
What is the first step in calculating the median?
Răspuns
(B)
Ordering values
3
Which average is the easiest to find in a small number of samples?
Răspuns
(B)
The mode
4
What is the main purpose of the section titled 'Which average to use when comparing data?'
Răspuns
(C)
To explain how the choice of average affects the conclusions you can draw from data.
5
What is the most important use of the mode?
Răspuns
(B)
To identify the most frequently occurring value.
6
In the context of grouped data, what do class intervals represent?
Răspuns
(B)
The categories or ranges into which data values are grouped.
7
If the range of a dataset is 25, and the smallest value is 10, what is the largest value?
Răspuns
(D)
35
8
In a frequency table, what does the frequency of a class interval represent?
Răspuns
(C)
The number of times the values fall within that interval
9
If you want to make it easier to analyse the answers to each question, what should you do when designing a questionnaire?
Răspuns
(B)
Limit the choices
10
How should the questions be when you are designing a questionnaire?
Răspuns
(C)
Make the questions clear and concise
11
What are the two factors that the data collected can sometimes be based on?
Răspuns
(B)
The colour of a car and where it was made
12
If a value occurs most frequently, what is it?
Răspuns
(B)
Mode
13
In a data set containing the ages of students, the ages are measured on a continuous scale. Which measure is best to summarize the age of students?
Răspuns
(D)
Mean
14
What does the term 'skewness' refer to in a dataset?
Răspuns
(C)
The symmetry or asymmetry of the data distribution
15
What are the properties of a right-skewed distribution?
Răspuns
B
C
16
If a survey is asking for an age range, and if it is to be accurate, what must be considered?
Răspuns
(B)
Make sure groups are distinct
17
If a dataset contains the values: 1, 2, 2, 3, 3, 3, 4, 5, what is the median?
Răspuns
(B)
3
18
When constructing a frequency table, which are important elements to consider?
Răspuns
A
B
19
What does a frequency table contain?
Răspuns
A
B
C
20
For a dataset with a mean of 50 and a standard deviation of 5, a data value of 60 would be how many standard deviations from the mean?
Răspuns
(B)
2
21
What is a key difference between discrete and continuous data?
Răspuns
(B)
Discrete data can only be whole numbers; continuous data can take decimal values.
22
What is a disadvantage of the mean?
Răspuns
(B)
The mean has a disadvantage that it uses every data value.
23
What should you consider when designing a questionnaire?
Răspuns
A
B
24
When designing a questionnaire, what should you avoid?
Răspuns
(C)
Leading questions.
25
In a left-skewed distribution, the mean is generally:
Răspuns
(C)
Less than the median.
26
Which of the following is the simplest type of average?
Răspuns
(A)
Mean
27
If the mean of a set of data is 25 and the sum of the data values is 100, how many data points are in the set?
Răspuns
(B)
4
28
If the mode of a data set is 5 and the range is 10, what can you conclude?
Răspuns
(B)
The dataset contains at least one 5.
29
What do the class boundaries represent in a frequency table for continuous data?
Răspuns
(B)
The exact limits of each class.
30
What is the use of the 'More than' category?
Răspuns
(A)
To record all the responses that don't fit into the existing rows.
31
What should you avoid when writing a questionnaire?
Răspuns
(C)
Asking leading questions.
32
What does a small range tell you about the data?
Răspuns
(A)
The data is clustered.
33
When can the mode be used for a small number of samples?
Răspuns
(D)
When you have a small dataset and easy to identify.
34
What is the primary use of a frequency table?
Răspuns
(C)
To organize and summarize data by showing how often each value or group of values occurs.
35
What is the purpose of a stem-and-leaf plot?
Răspuns
(C)
To display the data's distribution and retain the original data values.
36
What would be the most appropriate measure of central tendency to describe the typical age of individuals in a community, knowing there is a high proportion of older individuals?
Răspuns
(C)
Median
37
Which statement is true about continuous data?
Răspuns
(B)
It can be measured on a scale and take on any value within a range.
38
What is the main purpose of a frequency table?
Răspuns
(A)
To organize data, including tallies, and frequencies.
39
Which statement is correct when comparing the mean, median, and mode in a symmetrical distribution?
Răspuns
(C)
Mean = Median = Mode
40
If you want to know the relationship between two different factors, what do you use?
Răspuns
(B)
A two-way table.
41
Which type of average is not affected by extreme values?
Răspuns
(C)
Median
42
What do the mode, median, and mean do?
Răspuns
B
D
43
What is the main goal of data summarization using statistical measures?
Răspuns
(C)
To simplify and condense a dataset for easier understanding.
44
Which of the following is an advantage of the mean?
Răspuns
(B)
It is easy to calculate and understand.
45
What is the purpose of a Two-way table?
Răspuns
(C)
To analyse two factors.
46
When might the mode not be a useful measure of central tendency?
Răspuns
(B)
When there is no mode.
47
In the context of frequency tables, what does 'class width' refer to?
Răspuns
(B)
The difference between the upper and lower class limits of a specific interval.
48
In a frequency table, what components are needed to find the estimate of the mean?
Răspuns
B
C
49
In a two-way table, how is the total number calculated?
