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Yes, all Statistics (Central Tendency) questions and lessons on SparkEd Math are fully aligned with the International Baccalaureate (MYP) (IB) syllabus for Class 7. The content follows the official curriculum structure and exam pattern.

Statistics (Central Tendency) — Class 7 IB (2025-26)

About Statistics (Central Tendency) — Class 7 IB

Calculate and compare mean, median, and mode for different data sets. This topic is part of the IB Class 7 mathematics syllabus (chapter: Unit 8). On this page you can practice 50 questions across three difficulty levels — 20 easy, 20 medium, and 10 hard — each with a visual step-by-step solution, plus a timed 25-question mastery test with a live leaderboard. Worked examples and sample questions from the topic are below.

What you'll learn in Statistics (Central Tendency)

Exploring Data: What's "Typical"?
Introducing the Big Three: Mean, Median, Mode
Choosing the Best Measure: The Impact of Outliers
Organising Data for Central Tendency: Frequency Tables & Stem-and-Leaf Plots
Comparing Datasets & Grouped Data (An Introduction)

Interactive lesson · about 15 minutes · checkpoint question after every unit

Statistics (Central Tendency) — solved examples for Class 7 IB

Example 1easy

The daily maximum temperatures (in °C) recorded in Geneva over five days in May were: 18, 22, 19, 21, 25. What is the mean daily maximum temperature for these five days?

A)19 °C
B)20 °C
C)21 °C
D)22 °C

Step-by-step solution

Sum all the given temperatures.
$Sum = 18 + 22 + 19 + 21 + 25 = 105$
Count the number of days (data values).
$Number of values = 5$
Divide the sum by the number of values to find the mean.
$Mean = Sum / Number of values = 105 / 5 = 21$

Answer: 21 °C

Example 2medium

The daily maximum temperatures (in °C) recorded in Geneva over one week in spring were: 12.5, 14.0, 11.5, 13.0, 15.5, 14.0, 16.0. What was the mean daily maximum temperature for that week?

A)13.0 °C
B)13.8 °C
C)14.0 °C
D)14.2 °C

Step-by-step solution

Add all the daily maximum temperatures together.
$Sum = 12.5 + 14.0 + 11.5 + 13.0 + 15.5 + 14.0 + 16.0 = 96.5$
Count the number of days, which is 7.
$Count = 7$
Divide the sum by the count to find the mean.
$Mean = 96.5 ÷ 7 ≈ 13.7857 ≈ 13.8 °C (to 1 decimal place)$

Answer: 13.8 °C

Example 3hard

A student's scores on 5 mathematics tests are 82, 75, 91, 88, and 'x'. If the mean score for all 6 tests, including a final project score of 96, is exactly 87, what is the value of 'x'?

A)85
B)88
C)90
D)92

Step-by-step solution

The sum of all 6 scores is the mean multiplied by the number of scores.
$Sum = Mean × Count = 87 × 6 = 522$
Sum the known scores.
$Known sum = 82 + 75 + 91 + 88 + 96 = 432$
Set up the equation to find x.
$432 + x = 522$
Solve for x.
$x = 522 - 432 = 90$

Answer: 90

Practice questions on Statistics (Central Tendency)

Q1.easy
Alex was asked to find the median of the following set of numbers: 15, 12, 20, 18, 14, 16. Alex stated the median is 18. What mistake did Alex make?
1. A)Alex did not order the numbers first.
2. B)Alex chose the mode instead of the median.
3. C)Alex calculated the mean instead of the median.
4. D)Alex incorrectly identified the middle number.
Show answer
Answer: Alex did not order the numbers first.
Hint: To find the median, the first crucial step is to arrange the data in numerical order.
Q2.easy
Which statement about the mode of a data set is TRUE?
1. A)Every data set has exactly one mode.
2. B)The mode is always the largest value in the data set.
3. C)The mode is the value that appears most frequently in a data set.
4. D)The mode is significantly affected by outliers.
Show answer
Answer: The mode is the value that appears most frequently in a data set.
Hint: Consider the definition of the mode and its characteristics when thinking about its presence, value, and sensitivity to extreme data points.
Q3.easy
A small company has 5 employees with monthly salaries (in Euros) of: 2000, 2100, 2200, 2300, 10000. Which measure of central tendency would be most affected by the salary of 10000 Euros (an outlier)?
1. A)Mean
2. B)Median
3. C)Mode
4. D)All measures equally
Show answer
Answer: Mean
Hint: Think about how each measure of central tendency is calculated. Which one involves summing all the values?
Q4.medium
A scientist measured the heights (in cm) of 9 young oak saplings: 23, 18, 25, 20, 22, 19, 21, 24, 26. What is the median height of these saplings?
1. A)20 cm
2. B)21 cm
3. C)22 cm
4. D)23 cm
Show answer
Answer: 22 cm
Hint: Remember to order the data from least to greatest before finding the middle value for the median.
Q5.medium
Students in a class were asked how many hours they spent on a creative project last week. The responses were: 3, 5, 4, 6, 5, 3, 7, 5, 4, 8, 5. What is the mode of the hours spent?
1. A)3 hours
2. B)4 hours
3. C)5 hours
4. D)6 hours
Show answer
Answer: 5 hours
Hint: The mode is the value that appears most frequently in a data set.
Q6.medium
A small company has 6 employees. Their annual salaries (in Euros) are: 25000, 28000, 30000, 32000, 35000, 250000. Which statement is true regarding the impact of the outlier on the measures of central tendency?
1. A)The outlier significantly increases both the mean and the median.
2. B)The outlier significantly increases the mean but has little effect on the median.
3. C)The outlier significantly increases the median but has little effect on the mean.
4. D)The outlier has little effect on both the mean and the median.
Show answer
Answer: The outlier significantly increases the mean but has little effect on the median.
Hint: Consider how each measure (mean, median) is calculated and how an extreme value influences their calculation.
Q7.hard
A zoologist recorded the weights (in kg) of 7 rare birds: 1.2, 1.5, 1.3, 1.6, 1.4, 2.8, 1.1. If the heaviest bird's weight (2.8 kg) is later discovered to be an error and should be excluded, how does the median weight change?
1. A)It increases by 0.1 kg.
2. B)It decreases by 0.1 kg.
3. C)It remains the same.
4. D)It decreases by 0.05 kg.
Show answer
Answer: It decreases by 0.05 kg.
Hint: Calculate the median for both data sets: the original 7 weights and the 6 weights after removing the outlier. Remember to sort the data first.
Q8.hard
A small bakery recorded the number of croissants sold per hour over a 10-hour period. The data is summarized in the frequency table below. If the bakery wanted to increase its mean sales to 32 croissants per hour, but only by increasing the number of croissants sold in the '20 croissants' category (keeping its frequency of 1 hour the same), how many croissants would need to be sold in that category?
1. A)32
2. B)40
3. C)45
4. D)50
Show answer
Answer: 45
Hint: Calculate the current total sales. Then, determine the target total sales for the new mean. The difference in total sales must be absorbed by the change in the '20 croissants' category.
Q9.hard
A small town has the following annual incomes (in thousands of Euros) for its 8 working residents: 25, 28, 30, 32, 35, 40, 45, 250. Which measure of central tendency would best represent the typical income of the residents, and why?
1. A)Mean, because it considers all data points.
2. B)Median, because it is not affected by the outlier.
3. C)Mode, because it represents the most frequent income.
4. D)Range, because it shows the spread of incomes.
Show answer
Answer: Median, because it is not affected by the outlier.
Hint: Look for extreme values in the data set. How do these affect the mean, median, and mode? Consider which measure gives a 'typical' value for most people.

These are 9 of the 50 questions available for Statistics (Central Tendency). Start practicing above to unlock visual solutions, AI coaching, and the topic leaderboard — completely free.