Mathematics for IGCSE & O level - Categorical, Numerical And Grouped Data (Section 7)
1
What should you do before collecting data?
Відповідь
A
B
2
What does the frequency represent in a frequency table?
Відповідь
(B)
The number of observations in a class.
3
What is the purpose of finding the range of a data set?
Відповідь
(B)
To measure the spread or dispersion of the data.
4
What are the advantages of the median?
Відповідь
A
B
5
In a dataset, the range is a measure of what?
Відповідь
(B)
Dispersion
6
What's an important aspect when designing a good questionnaire?
Відповідь
(D)
Making the questions clear and relevant.
7
If the data is more spread out, what is the meaning of that?
Відповідь
(C)
The data is less consistent.
8
In a positively skewed distribution, which is typically the correct relationship between the mean, median, and mode?
Відповідь
(A)
Mode < Median < Mean
9
When working with discrete data, what type of data can a frequency table effectively summarize?
Відповідь
(D)
Both numerical and categorical data
10
Which of the following steps are necessary when calculating the mean for grouped data?
Відповідь
A
B
D
11
What makes a questionnaire question 'leading'?
Відповідь
(B)
When it suggests a particular answer.
12
What is the main purpose of calculating the range in a data set?
Відповідь
(B)
To show the spread of the data
13
What are the advantages of using the mean?
Відповідь
(C)
It uses all the data values in the dataset.
14
Which measure of average would be most affected by an outlier (an extremely high or low value)?
Відповідь
(C)
Mean
15
In a positively skewed distribution, the tail of the distribution is on which side?
Відповідь
(B)
Right side
16
Which statements are true regarding the relationship between mean, median, and mode in a skewed distribution?
Відповідь
A
B
D
17
What is the main purpose of organizing data into a frequency table?
Відповідь
(C)
To summarize and easily understand the distribution of the data
18
If the spread of data is large, what does that mean about the data?
Відповідь
(C)
The data is less consistent.
19
In a survey, if you ask an age range, how should you set up your groups?
Відповідь
(C)
Groups should be distinct.
20
If the median of a dataset is 20, which of the following statements must be true?
Відповідь
(C)
At least half the values are less than or equal to 20.
21
Which of these is the most appropriate measure of central tendency to summarize the data showing the favorite colors of a group of people?
Відповідь
(C)
Mode
22
When data is skewed to the right, what is the typical relationship between the mean and the median?
Відповідь
(C)
Mean > Median
23
What is a key issue to consider when designing a questionnaire?
Відповідь
(C)
Using leading questions
24
Which statement is correct regarding outliers in a data set?
Відповідь
(D)
Outliers can significantly impact the mean.
25
What can you do with a pilot survey before the final version?
Відповідь
(C)
Change the questions
26
If you're conducting a survey and want to find out information, what should the size of your sample be like?
Відповідь
(B)
Important
27
If you have a data set representing the salaries of employees in a company, and the salaries of the top executives significantly increase, which measure of average would be most affected?
Відповідь
(D)
Mean
28
Which of the following are key to make sure you do a survey correctly?
Відповідь
A
B
29
What kind of sampling will you do to make sure your sample has certain characteristics?
Відповідь
(A)
Random sampling
30
How to calculate the mean of the data
Відповідь
(A)
Total number of runs / the number of innings.
31
Which of the following statements is true concerning the median?
Відповідь
(C)
The median is the central value when the data is sorted.
32
What does the term "midpoint" represent in the context of grouped data?
Відповідь
(B)
The central value of each interval.
33
In the following data set: 2, 5, 5, 6, 8, 10, what is the median?
Відповідь
(B)
5.5
34
When would the median be the most appropriate measure of central tendency?
Відповідь
(A)
When the data has many extreme values.
35
If the data set is: 2, 4, 4, 4, 5, 6, 7, 8, what is the mode?
Відповідь
(B)
4
36
In a right-skewed distribution, which inequality typically holds true?
Відповідь
(B)
Mode < Median < Mean
37
In a dataset, which measure of central tendency is always a value from the dataset?
Відповідь
(C)
Mode
38
Which of the following best describes discrete data?
Відповідь
(A)
Data that can only take specific values, like integers
39
For a dataset, how can you calculate the range?
Відповідь
(C)
Subtract the lowest value from the highest value.
40
Which of the following statements are true regarding the mode of a data set?
Відповідь
A
B
D
41
How can you check that you did the survey correctly?
Відповідь
(B)
You can go over the survey with few people.
42
If the data has the values: 2, 2, 3, 4, 5, 5, 5, 6, what are the mode, median, and range, respectively?
Відповідь
(A)
5, 4, 4
43
What do you use to compare and interpret the data?
Відповідь
A
B
C
D
44
If a dataset is skewed to the left, which of the following is most likely true?
Відповідь
(B)
Mean < Median
45
What is the most appropriate measure of central tendency when describing the salaries of employees in a company, knowing some are much higher than others?
Відповідь
(C)
Median
46
What are the two main parts of a two-way table?
Відповідь
A
B
47
What is included in a frequency table?
Відповідь
A
B
48
In what cases is it easier to find the mode?
Відповідь
(A)
When you have a small number of samples
49
What type of data is best represented by a frequency table?
