NGAT/GAT Statistics Practice Questions‼️

Let say, in your class with a total of 60 students; the mean result of biostatistics exam is 70 and the median result is 55. You will expect,

A. Many students have scored below the average

B. Many students have scored above the average

C. Half of students have scored above 70

D. Half of students have scored below 70

E. 65 students scored 70

Step-by-step explanation
We are given:
Number of students = 60
Mean = 70
Median = 55
The key relationship is:
When the mean is greater than the median, the distribution is generally positively (right) skewed.
This usually means that a relatively small number of high scores pull the mean upward.
For example, imagine scores like:

20, 30, 40, 45, 50, 55, 55, 60, 65, 70, 75, 100

The high score of 100 pulls the mean upward, while the median remains closer to the center of the observations.

Why is A the best answer?
The median is 55, meaning approximately half of the students are at or below 55 and approximately half are at or above 55.
Since:
many of the students whose scores are around the lower part of the distribution will be below the mean of 70. The high scores raise the mean.
Therefore:
So the best answer is:
✅ A. Many students have scored below the average

Why the other choices are wrong?
B. Many students have scored above the average ❌
Not the expected pattern when the mean is considerably higher than the median.

C. Half of students have scored above 70 ❌
The median is 55, not 70. The median—not the mean—tells us about the 50th percentile.

D. Half of students have scored below 70 ❌
Again, 70 is the mean. We cannot conclude that exactly half scored below the mean.

E. 65 students scored 70 ❌
There are only 60 students, so this is impossible.

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