Statistics & probability
⏱ ~3-min readAceMark GuideWhat this topic is really about
To find the median, first arrange the numbers in ascending order: 1, 3, 4, 6, 8, 9. Because there is an even number of values, the median is the average of the two middle numbers, 4 and 6, which is 5. Option A is incorrect because 4 is just one of the middle values, not their average.
Since each coin toss is an independent event with a 1/2 probability of landing on heads, the probability of consecutive heads is 1/2 times 1/2, which equals 1/4. Option A is incorrect because 1/2 is only the probability of a single coin toss landing on heads.
See the mechanism
To find the mean, sum the five numbers to get 50, then divide by the total count of 5, which yields 10. A diagram for this topic isn't available yet — the worked example below walks the same reasoning step by step.
An exam-style question, fully explained
Mean of 4, 7, 9, 12, 18:
- Identify what the question tests: Mean of 4, 7, 9, 12, 18:.
- To find the mean, sum the five numbers to get 50, then divide by the total count of 5, which yields 10.
- Option A is incorrect because 9 represents the median, or middle value of the data set, rather than the average.
Traps the examiner sets
- Option A is incorrect because 9 represents the median, or middle value of the data set, rather than the average.
- Option A is incorrect because 1/2 is only the probability of a single coin toss landing on heads.
- Option A is incorrect because 4 is just one of the middle values, not their average.
- Option D is incorrect because 3/5 only compares red marbles to blue marbles instead of the entire total.
Test your recall
Answer each from memory — you'll see instantly whether you're right and why.
Run a focused 10-question mini-mock on Statistics & probability and see it stick.
Practice more of this topic →