Mathematics for IGCSE & O level - Statistical Diagrams (Section 2)
1
Based on the key points regarding cumulative frequency diagrams, what is true?
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A
B
D
2
What type of data is suitable for displaying on a histogram?
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(C)
Continuous data
3
What does the area under each bar in a histogram represent?
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(B)
Frequency
4
In a cumulative frequency diagram, the value on the x-axis that corresponds to 50% on the y-axis is:
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(B)
The median
5
How is the median value of data found from a cumulative frequency diagram?
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(B)
Look up the value at 50% cumulative frequency.
6
What are the benefits of using cumulative frequency diagrams?
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A
B
D
7
The pictogram below depicts the number of books borrowed, how many books were borrowed on Wednesday?
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(B)
25
8
If a cumulative frequency graph is flat, what does this indicate?
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(B)
A zero frequency.
9
How does the frequency density relate to the class width and frequency in a histogram?
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(A)
Frequency Density = Frequency / Class Width
10
What is the most common eye color based on the bar chart?
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(B)
Blue
11
What is the purpose of the horizontal axis on a histogram?
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(A)
To display the class intervals
12
In the context of the histogram, what does the area of each bar represent?
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(A)
Frequency
13
What does a negatively skewed histogram look like?
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(A)
The tail is on the left side.
14
In a histogram, which axis is used to plot the frequency density?
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(B)
Vertical axis
15
How is the lower quartile estimated using a cumulative frequency diagram?
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(A)
The value on the x-axis corresponding to the 25th percentile.
16
How do you calculate the frequency density of a particular class interval?
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(B)
Frequency / Class Width
17
What is the advantage of using a pictogram over a bar chart?
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(C)
Pictograms are easier to understand for people.
18
In the context of a cumulative frequency graph, what does a steep slope indicate?
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(B)
High frequencies
19
What does a symmetrical histogram suggest?
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(C)
A normal distribution
20
Which of the following is a characteristic of a cumulative frequency diagram?
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(A)
The y-axis always starts at zero.
21
What is the formula for calculating frequency density?
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(A)
Frequency Density = Frequency / Class Width
22
What does a histogram represent?
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(D)
The distribution of continuous data
23
What is the total number of computers and printers sold in Week 3?
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(B)
25
24
What is the primary difference between a bar chart and a histogram?
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(A)
Histograms display continuous data, while bar charts show categorical data.
25
Based on the bar chart, which eye color has the second most students?
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(C)
Grey
26
If the frequency is 14 and the class width is 10, what is the frequency density?
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(B)
1.4
27
What can be found from a cumulative frequency diagram?
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A
C
D
28
When is it particularly important to use frequency density rather than simply frequency in a histogram?
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(C)
When the class intervals have unequal widths.
29
If the class widths in a histogram are unequal, what must be considered when interpreting the diagram?
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(B)
The frequency density of each class
30
How can you find the number of data points within a specific range using a cumulative frequency diagram?
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(A)
Subtract the cumulative frequencies at the start and end of the range.
31
Based on the key points, which of the following statements are true regarding a line of best fit?
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A
B
C
32
What is the significance of the area of each bar in a histogram?
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(A)
It represents the frequency of that class.
33
Which of the following statements is accurate regarding correlation?
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(D)
A scatter diagram can be used to identify a relationship (correlation) between two sets of data.
34
In a positively skewed distribution, what is the general position of the mode relative to the median?
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(B)
The mode is less than the median.
35
Which of the following diagrams is most suitable for displaying continuous data?
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(C)
Histogram
36
In the context of cumulative frequency diagrams, what does the 75th percentile represent?
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(C)
The upper quartile
37
What must be calculated first to draw a histogram?
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(C)
Frequency density
38
Based on the bar chart, in which week was the difference between computer and printer sales the greatest?
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(B)
Week 2
39
How can the median be found using the cumulative frequency diagram?
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(C)
By finding the x-axis value corresponding to the 50th percentile.
40
What is calculated as 'frequency / class width'?
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(B)
Frequency density
41
In which week were the most printers sold?
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(B)
Week 2
42
What should be plotted on the y-axis in a histogram?
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(B)
Frequency Density
43
What kind of correlation is present when the data points on a scatter diagram are scattered and do not show a clear trend?
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(C)
No Correlation
44
Which of the following statements accurately describes a positively skewed distribution?
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(D)
The mean is greater than the median.
45
What does the shape of a cumulative frequency graph indicate?
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(A)
The distribution of data
46
What type of graph is the best suited for showing the distribution of data?
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(C)
Histogram
47
What information can be gained from a histogram?
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A
B
D
48
What type of data is typically represented using a cumulative frequency diagram?
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(C)
Continuous data
49
Which type of correlation is shown in the scatter diagram where the points are closely clustered in a line, as one quantity increases, so does the other?
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(A)
Strong positive correlation
50
How many books do the symbol in the pictogram represent?
