IB Class 10 Mathematics Group 5 Statistics & Probability by Pavan | Practice Test to Test Your Knowledge
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  3. IB Class 10 Mathematics Group 5 Statistics & Probability
IB Class 10 Mathematics Group 5 Statistics & Probability

IB Class 10 Mathematics Group 5 Statistics & Probability

Comprehensive mock test on mathematical reasoning, problem-solving, and statistical analysis. Features both standard and extended level concepts with real-world mathematical applications.

2025-07-21
Pavan Pavan
IB Class 10 Mathematics Statistics Grade 10

Duration

30 min

Questions

30

Marking

Negative

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Questions Preview

What type of data is eye color?

A
Qualitative
B
Quantitative
C
Continuous
D
Discrete

Which of the following is an example of quantitative data?

A
Gender
B
Eye color
C
Height
D
Country

Which of the following measures is used to describe the spread of a data set?

A
Mean
B
Range
C
Median
D
Mode

What is the first quartile (Q1) in a data set?

A
The median
B
The 25th percentile
C
The 50th percentile
D
The 75th percentile

Which type of graph is used to represent the distribution of continuous data?

A
Bar chart
B
Pie chart
C
Histogram
D
Box plot

The mean of the data set {2, 4, 6, 8} is:

A
4
B
5
C
6
D
7

What is the range of the data set {3, 6, 7, 12}?

A
9
B
12
C
7
D
6

The median of the data set {1, 3, 5, 7, 9} is:

A
3
B
5
C
7
D
9

Which type of data is represented by a pie chart?

A
Continuous data
B
Categorical data
C
Quantitative data
D
Ordinal data

If the data set is {10, 15, 15, 20, 25}, what is the mode?

A
10
B
15
C
20
D
25

What is the interquartile range (IQR) if Q1 = 25 and Q3 = 45?

A
10
B
20
C
15
D
50

What does the standard deviation measure?

A
The average value of the data
B
The spread of the data
C
The sum of the data
D
The range of the data

What is the purpose of a box plot?

A
To show the frequency of each value
B
To show the spread and central tendency of the data
C
To show the relationship between two variables
D
To show the mean and median of the data

What is the cumulative frequency?

A
The total of all frequencies up to a given value
B
The average frequency of a data set
C
The frequency of a single data point
D
The number of data points in the set

Which of the following graphs is most appropriate for visualizing the spread of a data set?

A
Pie chart
B
Histogram
C
Line graph
D
Bar chart

In a data set, if the mean is greater than the median, what type of skew does the data have?

A
Left skew
B
Right skew
C
No skew
D
Symmetric

What is the most appropriate measure of central tendency for skewed data?

A
Mean
B
Median
C
Mode
D
Range

The data set is {4, 8, 12, 16}. What is the mode?

A
4
B
8
C
There is no mode
D
16

For a normal distribution, where is the mean located?

A
At the left tail
B
At the right tail
C
At the center
D
Anywhere in the data set

Which of the following is a possible outcome when calculating standard deviation for a data set?

A
Negative number
B
Zero
C
A positive number
D
Any of the above

If the data set is {2, 4, 6, 8, 10}, what is the mean?

A
5
B
6
C
7
D
8

What is the formula for calculating the range of a data set?

A
Range = Maximum - Minimum
B
Range = Median - Mean
C
Range = Mean - Mode
D
Range = Mode - Minimum

What does a box plot show?

A
The total number of data points
B
The distribution and spread of the data
C
The mean and mode of the data
D
The number of occurrences of the most frequent data point

What does the cumulative frequency represent?

A
The total of all frequencies
B
The running total of frequencies up to each data point
C
The frequency of each individual data point
D
The total number of data points

Which of the following is an example of ordinal data?

A
Eye color
B
Height
C
Rank in a competition
D
Temperature

In a normal distribution, what is the relationship between the mean, median, and mode?

A
Mean = Median = Mode
B
Mean > Median > Mode
C
Mean < Median < Mode
D
Mean ≠ Median ≠ Mode

If the standard deviation of a data set is 0, what does this indicate?

A
The data is perfectly spread out
B
All values in the data set are the same
C
The data set has no central tendency
D
The mean is not defined

What is the main advantage of using a histogram over a bar chart?

A
Histograms can represent continuous data
B
Bar charts are more precise than histograms
C
Histograms can represent categorical data
D
Bar charts are used for numerical data only

Which of the following is a characteristic of a data set with a bimodal distribution?

A
One peak in the frequency distribution
B
Two peaks in the frequency distribution
C
No distinct peaks
D
A uniform distribution

What does the median represent in a data set?

A
The middle value when the data is ordered
B
The most frequently occurring value
C
The difference between the maximum and minimum values
D
The sum of all values divided by the number of values