ISAT Probability and Statistical Analysis 4

Question 1

The interquartile range (IQR) is defined as:

Accepted Answer

Q3 − Q1

Answer

The IQR is the difference between the third quartile (Q3) and the first quartile (Q1), representing the middle 50% of data.

Question 2

A student draws 2 cards from a standard 52-card deck without replacement. What is the probability both are aces?

Accepted Answer

1/221

Answer

P = (4/52) × (3/51) = 12/2652 = 1/221.

Question 3

Which of the following best describes a positively skewed distribution?

Accepted Answer

Mean > Median > Mode

Answer

In a positively (right) skewed distribution, the tail extends right, pulling the mean above the median, which is above the mode.

Question 4

A jar has 5 white and 3 black balls. What is the probability of drawing a black ball on the second draw, given the first draw was white (without replacement)?

Accepted Answer

3/7

Answer

After removing a white ball, 7 remain (4 white, 3 black); P(black) = 3/7.

Question 5

A frequency table shows 5 classes. Which statistical tool best displays this data visually?

Accepted Answer

Histogram

Answer

A histogram displays the distribution of data across intervals (classes), making frequency tables easy to visualize.

ISAT - International Student Admissions Test Practice Test

ISAT - International Student Admissions Test Practice Test

ISAT Probability and Statistical Analysis 4