NSAA NSAA Mathematics - Statistics and Probability 2

Question 1

In a normal distribution, approximately what percentage of data lies within one standard deviation of the mean?

Accepted Answer

68%

Answer

The 68-95-99.7 rule states that ~68% of data falls within ±1 standard deviation of the mean.

Question 2

How many ways can 4 books be arranged on a shelf?

Accepted Answer

24

Answer

The number of arrangements = 4! = 4×3×2×1 = 24.

Question 3

A card is drawn from a standard 52-card deck. What is the probability that it is a heart or a king?

Accepted Answer

17/52

Answer

P(heart) = 13/52, P(king) = 4/52, P(king of hearts) = 1/52; P(heart or king) = 13/52 + 4/52 - 1/52 = 16/52 = 4/13.

Question 4

The interquartile range (IQR) is calculated as:

Accepted Answer

Q3 - Q1

Answer

IQR = Q3 - Q1, the difference between the upper and lower quartiles.

Question 5

From a group of 5 people, how many ways can a committee of 3 be chosen?

Accepted Answer

10

Answer

C(5,3) = 5!/(3!2!) = 10.

NSAA - Natural Sciences Admissions Assessment Practice Test