Mathematics for IGCSE & O level - Categorical, Numerical And Grouped Data (Section 7)
1
What should you do before collecting data?
إجابة
A
B
2
What does the frequency represent in a frequency table?
إجابة
(B)
The number of observations in a class.
3
What is the purpose of finding the range of a data set?
إجابة
(B)
To measure the spread or dispersion of the data.
4
What are the advantages of the median?
إجابة
A
B
5
In a dataset, the range is a measure of what?
إجابة
(B)
Dispersion
6
What's an important aspect when designing a good questionnaire?
إجابة
(D)
Making the questions clear and relevant.
7
If the data is more spread out, what is the meaning of that?
إجابة
(C)
The data is less consistent.
8
In a positively skewed distribution, which is typically the correct relationship between the mean, median, and mode?
إجابة
(A)
Mode < Median < Mean
9
When working with discrete data, what type of data can a frequency table effectively summarize?
إجابة
(D)
Both numerical and categorical data
10
Which of the following steps are necessary when calculating the mean for grouped data?
إجابة
A
B
D
11
What makes a questionnaire question 'leading'?
إجابة
(B)
When it suggests a particular answer.
12
What is the main purpose of calculating the range in a data set?
إجابة
(B)
To show the spread of the data
13
What are the advantages of using the mean?
إجابة
(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)?
إجابة
(C)
Mean
15
In a positively skewed distribution, the tail of the distribution is on which side?
إجابة
(B)
Right side
16
Which statements are true regarding the relationship between mean, median, and mode in a skewed distribution?
إجابة
A
B
D
17
What is the main purpose of organizing data into a frequency table?
إجابة
(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?
إجابة
(C)
The data is less consistent.
19
In a survey, if you ask an age range, how should you set up your groups?
إجابة
(C)
Groups should be distinct.
20
If the median of a dataset is 20, which of the following statements must be true?
إجابة
(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?
إجابة
(C)
Mode
22
When data is skewed to the right, what is the typical relationship between the mean and the median?
إجابة
(C)
Mean > Median
23
What is a key issue to consider when designing a questionnaire?
إجابة
(C)
Using leading questions
24
Which statement is correct regarding outliers in a data set?
إجابة
(D)
Outliers can significantly impact the mean.
25
What can you do with a pilot survey before the final version?
إجابة
(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?
إجابة
(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?
إجابة
(D)
Mean
28
Which of the following are key to make sure you do a survey correctly?
إجابة
A
B
29
What kind of sampling will you do to make sure your sample has certain characteristics?
إجابة
(A)
Random sampling
30
How to calculate the mean of the data
إجابة
(A)
Total number of runs / the number of innings.
31
Which of the following statements is true concerning the median?
إجابة
(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?
إجابة
(B)
The central value of each interval.
33
In the following data set: 2, 5, 5, 6, 8, 10, what is the median?
إجابة
(B)
5.5
34
When would the median be the most appropriate measure of central tendency?
إجابة
(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?
إجابة
(B)
4
36
In a right-skewed distribution, which inequality typically holds true?
إجابة
(B)
Mode < Median < Mean
37
In a dataset, which measure of central tendency is always a value from the dataset?
إجابة
(C)
Mode
38
Which of the following best describes discrete data?
إجابة
(A)
Data that can only take specific values, like integers
39
For a dataset, how can you calculate the range?
إجابة
(C)
Subtract the lowest value from the highest value.
40
Which of the following statements are true regarding the mode of a data set?
إجابة
A
B
D
41
How can you check that you did the survey correctly?
إجابة
(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?
إجابة
(A)
5, 4, 4
43
What do you use to compare and interpret the data?
إجابة
A
B
C
D
44
If a dataset is skewed to the left, which of the following is most likely true?
إجابة
(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?
إجابة
(C)
Median
46
What are the two main parts of a two-way table?
إجابة
A
B
47
What is included in a frequency table?
إجابة
A
B
48
In what cases is it easier to find the mode?
إجابة
(A)
When you have a small number of samples
49
What type of data is best represented by a frequency table?
