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