A sector in a pie chart has an angle of $72^\circ$. What percentage of the total data does this represent?

Correct Answer: Option B - 20%. Percentage $= \frac{\text{Angle}}{360} \times 100 = \frac{72}{360} \times 100 = \frac{1}{5} \times 100 = 20\%$.

The table below shows the favorite colors of students: | Color | Red | Blue | Green | | --- | --- | --- | --- | | Freq | 5 | 8 | 7 | What is the total number of students?

Correct Answer: Option C - 20. Total frequency $= 5 + 8 + 7 = 20$.

If a pictogram key shows that one circle symbol represents 10 balls, how many balls are represented by 3 full circles and one half circle?

Correct Answer: Option B - 35. Value $= (3 \times 10) + (0.5 \times 10) = 30 + 5 = 35$ balls.

Which of these is NOT a method of presenting data?

Correct Answer: Option C - Protractor. A protractor is a measuring instrument, not a method of presenting statistical data.

In a pie chart representing a total of $3600$, how much does a sector of $90^\circ$ represent?

Correct Answer: Option B - 900. Value $= \frac{90}{360} \times 3600 = \frac{1}{4} \times 3600 = 900$.

The 'Mean' of a set of numbers is calculated by:

Correct Answer: Option C - Adding all numbers and dividing by the count. The mean is the arithmetic average, calculated by summing values and dividing by the number of values.

Find the mean of the numbers: 2, 4, 6, 8, 10.

Correct Answer: Option B - 6. Sum $= 2+4+6+8+10 = 30$. Count $= 5$. Mean $= 30 / 5 = 6$.

The number which appears most often in a set of data is called the:

Correct Answer: Option C - Mode. The mode is defined as the most frequently occurring value in a dataset.

Find the mode of the following set of numbers: 3, 5, 2, 5, 8, 5, 9.

Correct Answer: Option B - 5. The number 5 appears three times, which is more than any other number.

To find the median, the data must first be:

Correct Answer: Option B - Arranged in order of size. The median is the middle value, which can only be determined after the data is sorted (ordered).

Calculate the median of: 3, 1, 7, 2, 9.

Correct Answer: Option B - 3. First arrange in order: 1, 2, 3, 7, 9. The middle number is 3.

What is the range of the following numbers: 12, 5, 8, 20, 3?

Correct Answer: Option C - 17. Range $= \text{Highest} - \text{Lowest} = 20 - 3 = 17$.

If the mean of $5, 7, x, 9$ is $7$, find the value of $x$.

Correct Answer: Option B - 7. $\frac{5+7+x+9}{4} = 7 \Rightarrow 21+x = 28 \Rightarrow x = 28-21 = 7$.

Find the median of these even numbers: 2, 4, 6, 8, 10, 12.

Correct Answer: Option B - 7. The numbers are ordered. There are two middle numbers: 6 and 8. Median $= \frac{6+8}{2} = 7$.

Which measure of central tendency is affected most by extreme values (outliers)?

Correct Answer: Option C - Mean. The mean uses all values in the calculation, so an extremely high or low number will shift the mean significantly compared to the median or mode.

Find the range of this dataset: $2, 2, 2, 2, 2$.

Correct Answer: Option A - 0. Range $= \text{Max} - \text{Min} = 2 - 2 = 0$.

Calculate the mean of the first five prime numbers: 2, 3, 5, 7, 11.

Correct Answer: Option B - 5.6. Sum $= 2+3+5+7+11 = 28$. Mean $= 28 / 5 = 5.6$.

If a data set has two modes, it is called:

Correct Answer: Option B - Bimodal. A set with two modes is referred to as bimodal.

What is the mean of $10, 20, 30$?

Correct Answer: Option B - 20. Sum $= 60$. Count $= 3$. Mean $= 20$.

Given the set: $4, 1, 8, 9$. What is the median?

Correct Answer: Option C - 6.5. Order: 1, 4, 8, 9. Middle two are 4 and 8. Median $= \frac{4+8}{2} = 6$.

If the range of a set of numbers is 10 and the smallest number is 5, what is the largest number?

Correct Answer: Option C - 15. Range $= \text{Largest} - \text{Smallest} \Rightarrow 10 = L - 5 \Rightarrow L = 15$.

The mean of 4 numbers is 5. What is their sum?

Correct Answer: Option B - 20. Sum $= \text{Mean} \times \text{Count} = 5 \times 4 = 20$.

In the set $3, 3, 3, 5, 10$, the mode is:

Correct Answer: Option A - 3. 3 appears most frequently.

Find the median of the first 5 odd numbers: 1, 3, 5, 7, 9.

Correct Answer: Option B - 5. The numbers are already ordered. The middle one is 5.

The difference between the highest and lowest value in a data set is known as:

Correct Answer: Option C - Range. This is the definition of the Range.

Probability is measured on a scale from:

Correct Answer: Option B - 0 to 1. The probability scale ranges from 0 (impossible) to 1 (certain).

If an event is impossible, its probability is:

Correct Answer: Option C - 0. An impossible event has a probability of 0.

When tossing a fair coin, what is the probability of getting a Head?

Correct Answer: Option B - 1/2. A coin has 2 sides (Head, Tail). Probability $= 1/2$.

A fair six-sided die is rolled. What is the probability of obtaining an even number?

Correct Answer: Option C - 1/2. Even numbers on a die are 2, 4, 6 (3 outcomes). Total outcomes = 6. Prob $= 3/6 = 1/2$.

A bag contains 3 red balls and 2 blue balls. What is the probability of picking a blue ball?

Correct Answer: Option C - 2/5. Total balls $= 3 + 2 = 5$. Blue balls $= 2$. Prob $= 2/5$.

If the probability of it raining is 0.3, what is the probability that it will NOT rain?

Correct Answer: Option B - 0.7. Prob(Not Event) $= 1 - \text{Prob(Event)} = 1 - 0.3 = 0.7$.

What is the probability of rolling a number greater than 4 on a single six-sided die?

Correct Answer: Option B - 1/3. Numbers greater than 4 are 5 and 6 (2 outcomes). Prob $= 2/6 = 1/3$.

Which of the following probability values indicates an event that is 'Certain' to happen?

Correct Answer: Option D - 1. A probability of 1 represents certainty.

A letter is chosen at random from the word 'CHANCE'. What is the probability that it is the letter 'C'?

Correct Answer: Option B - 1/3. Total letters = 6. 'C' appears 2 times. Prob $= 2/6 = 1/3$.

In a bag of 10 balls, 10 are red. What is the probability of picking a green ball?

Correct Answer: Option A - 0. It is impossible to pick a green ball if all balls are red. Probability is 0.

A number is picked at random from 1 to 10. What is the probability of picking a multiple of 3?

Correct Answer: Option B - 3/10. Multiples of 3 between 1 and 10 are 3, 6, 9 (3 outcomes). Prob $= 3/10$.

The sum of probabilities of all possible outcomes of an event is always:

Correct Answer: Option C - 1. The sum of all mutually exclusive probabilities in a complete sample space equals 1.

Two coins are tossed simultaneously. What is the probability of getting two Heads?

Correct Answer: Option B - 1/4. Sample space: {HH, HT, TH, TT}. Only HH is two heads. Prob $= 1/4$.

BECENational Examinations Council (NECO), NigeriaCertificationJunior Secondary Exit ExaminationPaper-Based

BECE Mathematics Statistics & Probability Practice Questions & Answers

48 Questions·Free Practice·MCQ with Explanations

Module: Statistics & Probability

Focus: Data Analysis | Level: Junior Secondary (JSS3)

Practice interpreting data and understanding likelihood, essential for the BECE Mathematics paper.

Key Topics:

Data Presentation: Frequency tables, pie charts, and bar graphs.
Measures of Average: Calculating Mean, Median, and Mode.
Probability: Foundations of chance and outcomes involving dice, cards, and coins.

Ready to test yourself?

Take this exam in our timed interactive simulator to track your performance and get detailed analytics.

Which of the following charts uses sectors of a circle to represent data?

Bar chart
Histogram
Pie chart
Line graph

View Answer & Explanation

Correct Answer: Option C -

Pie chart

Explanation:

A pie chart represents data using sectors of a circle where the angle of each sector is proportional to the frequency of the data.

In a pie chart, the total angle at the center of the circle is:

90 degrees
180 degrees
270 degrees
360 degrees

View Answer & Explanation

Correct Answer: Option D -

360 degrees

Explanation:

A full circle represents the total data, which corresponds to an angle of $360^\circ$ .

A student spends 8 hours sleeping in a day. What is the sector angle for sleep in a pie chart representing his daily activities?

90 degrees
100 degrees
120 degrees
240 degrees

View Answer & Explanation

Correct Answer: Option C -

120 degrees

Explanation:

Sector angle $= \frac{\text{Value}}{\text{Total}} \times 360^\circ$ . A day has 24 hours. Angle $= \frac{8}{24} \times 360 = \frac{1}{3} \times 360 = 120^\circ$ .

In a frequency table, what symbol is used to represent a count of 5 items using tally marks?

||||
|||||
An oblique line crossing four vertical lines
V

View Answer & Explanation

Correct Answer: Option C -

An oblique line crossing four vertical lines

Explanation:

A standard tally for 5 is four vertical strokes crossed by a diagonal stroke.

If 40 students took a test and 10 of them passed with an A, calculate the sector angle for grade A in a pie chart.

45 degrees
90 degrees
100 degrees
40 degrees

View Answer & Explanation

Correct Answer: Option B -

90 degrees

Explanation:

Angle $= \frac{10}{40} \times 360 = \frac{1}{4} \times 360 = 90^\circ$ .

Which diagram uses pictures or symbols to represent data?

Histogram
Pictogram
Bar Chart
Frequency Polygon

View Answer & Explanation

Correct Answer: Option B -

Pictogram

Explanation:

A pictogram uses pictures or icons to represent specific quantities of data.

In a bar chart, the height of the bar usually represents the:

Class width
Frequency
Cumulative frequency
Average

View Answer & Explanation

Correct Answer: Option B -

Frequency

Explanation:

In a standard bar chart, the height (or length) of the bar corresponds directly to the frequency of the category.

A bag contains 60 marbles. If 15 are blue, what fraction of the circle in a pie chart represents the blue marbles?

View Answer & Explanation

Correct Answer: Option C -

1/4

Explanation:

Fraction $= \frac{15}{60} = \frac{1}{4}$ .

In a survey of 120 cars, 30 are red. Calculate the angle for red cars in a pie chart.

30 degrees
60 degrees
90 degrees
120 degrees

View Answer & Explanation

Correct Answer: Option C -

90 degrees

Explanation:

Angle $= \frac{30}{120} \times 360 = \frac{1}{4} \times 360 = 90^\circ$ .

The main difference between a bar chart and a histogram is:

Bar charts have gaps between bars, histograms do not
Histograms use circles
Bar charts are for continuous data
Histograms always have horizontal bars

View Answer & Explanation

Correct Answer: Option A -

Bar charts have gaps between bars, histograms do not

Explanation:

Bar charts generally represent discrete categories with gaps, whereas histograms represent continuous data intervals with no gaps between bars.

BECE Mathematics Statistics & Probability Practice Questions & Answers

Module: Statistics & Probability

Ready to test yourself?

More from BECE

BECE Mathematics Numerical Literacy

BECE Mathematics Algebraic Processes

BECE Mathematics Geometry & Measurement