Mathematics for IGCSE & O level - Categorical, Numerical And Grouped Data (Section 9)
1
In a dataset, which of the following is a measure of dispersion?
Answer
(D)
Range
2
If the mode of a dataset is 15, it implies that:
Answer
(B)
15 is the most frequently occurring value.
3
What is the correct formula for calculating the mean?
Answer
(B)
Sum of data values / number of data values
4
What components are needed to estimate the mean for grouped data?
Answer
A
C
5
Which statement best describes the range in a data set?
Answer
(B)
The difference between the lowest and highest values in a dataset.
6
What does the mode represent?
Answer
(A)
The most repeated number.
7
What could make the mean misleading?
Answer
(A)
If some of the numbers are very high or low
8
What do we calculate from the grouped data to estimate the mean?
Answer
(C)
The sum of the midpoints multiplied by frequencies and divided by the sum of the frequencies
9
A survey collected data on the number of matches produced by 50 matchboxes. Which measure of central tendency would be the most useful in determining which size of box is most likely to be ordered?
Answer
(C)
Mode
10
What is one of the purposes of using the mean as an average?
Answer
(C)
To indicate the general level of a dataset.
11
Which measure of central tendency is generally most resistant to the effect of outliers?
Answer
(C)
Median
12
Which of the following are advantages of the median?
Answer
A
B
13
If the mean of a dataset is 15 and the median is 12, is the data likely to be skewed?
Answer
(B)
Yes, to the right.
14
In a dataset, if the mean is greater than the median, the data is likely:
Answer
(C)
Skewed to the right (positively skewed)
15
What does the term 'outlier' mean in statistics?
Answer
(B)
A value that is much larger or smaller than the other values in a data set.
16
What is the main reason for using class midpoints when estimating the mean from grouped data?
Answer
(B)
To represent all values in the class interval by a single representative value.
17
When comparing the amount of data spread, what is the correct way of calculation for range?
Answer
(C)
(Largest data value - Smallest data value)
18
In what situation is the median preferable to the mean as a measure of average?
Answer
(D)
When the data set has extreme values.
19
In a frequency table, what does the cumulative frequency represent?
Answer
(B)
The sum of the frequencies up to a certain class interval
20
Which of the following data sets has no mode?
Answer
(B)
1, 2, 3, 4, 5
21
Which measure of central tendency is most susceptible to being influenced by extreme values (outliers)?
