Mathematics for IGCSE & O level - Categorical, Numerical And Grouped Data (Section 2)
1
What is one way to group large amounts of data in order to analyze it?
2
What can be said about data with a small range?
Answer(C)
The data is clustered closely together.
3
What is one way to ensure your survey is valid?
4
What is good for measuring spread?
5
If the mean of a dataset is 25 and the range is 10, what information can be obtained?
Answer(B)
The data values are spread out, but the average value is 25.
6
What is the best way to show data from a survey?
7
What can be included to help in a frequency table?
8
How can you tell if data is discrete?
Answer(B)
If it can only take on whole number values.
9
Which of these are ways to estimate the range?
10
What might explain a large range in a dataset?
Answer(C)
There is a high degree of variation among the data values.
11
What is often impossible when collecting some statistical information?
12
Which of the following are considered when comparing data?
13
In a frequency table, what do you use to find the mean?
Answer(C)
Multiply the midpoints by the frequencies and divide by total frequency.
14
Which average would be best for finding the typical income in a small town?
15
What is the first step to make a frequency table?
16
What are the measures of average?
17
What type of questions should you make when designing a questionnaire?
18
What are some useful elements in comparing data sets?
19
Which of the following are good practices when designing a questionnaire?
20
Which type of sampling should be used?
22
What should be in a good frequency table?
23
When writing a questionnaire, what should you do first?
Answer(A)
Administer it to a few people
24
If a dataset's range is 10 and the lowest value is 5, what is the highest value?
25
What is a benefit of using the median to describe a dataset?
Answer(C)
It is not skewed by extreme values.
26
What makes the best questions for a questionnaire?
27
Answer(B)
Difference between largest and smallest values
28
What is one disadvantage of using the mean?
29
What is one way to check your data?
30
Which of the following is an example of discrete data?
Answer(C)
The number of cars in a parking lot.
31
If a frequency table shows class intervals of 0-4, 5-9, 10-14, what is the class width?
32
Which of the following statements is true regarding the use of the mode?
Answer(A)
The mode can be used for both numerical and non-numerical data.
33
What can you use to compare?
34
In order to compare data, you can use:
35
When working with grouped data, what information is often lost?
Answer(A)
The exact individual data values.
36
Which of these help create a questionnaire?
37
What data can be shown in a two-way table?
38
What kind of questions should be asked in a questionnaire?
39
What would be the midpoint for the class interval "10-15"?
40
What are the advantages of using a median?
41
What is a disadvantage of using grouped data?
Answer(C)
You lose the exact original data values.
42
What does 'More than' show in a frequency table?
43
The formula for range is:
Answer(A)
Largest data value - smallest data value
44
What is the range measurement for?
45
Which average is not affected by a few high or low values?
46
If you have a dataset and want to see each result, what table will you need?
47
What can a 'More than...' row at the end of a table be useful for?
48
For grouped data, if the 6th value is the median, and the first three classes each contain three data points, in which class does the median belong?
49
The following data is presented in a frequency table: 1, 2, 2, 3, 4, 4, 4, 5. What is the median?
50
What does the pilot survey help you with?