AQL Statistical Reasoning and Probability 1

Question 1

What does the 'mean' of a data set represent?

Accepted Answer

The arithmetic average, calculated by dividing the sum of all values by the number of values

Answer

The middle value when data is arranged in order

Answer

The value that appears most frequently in the data

Answer

The difference between the largest and smallest values

Question 2

What is the 'median' of the data set: 3, 7, 8, 12, 15?

Accepted Answer

8

Answer

7

Answer

9

Answer

3

Question 3

A data set has values: 4, 4, 5, 7, 9, 9, 9. What is the mode?

Accepted Answer

9

Answer

4

Answer

6.71

Answer

7

Question 4

What does a 'large standard deviation' indicate about a data set?

Accepted Answer

The data points are spread widely from the mean

Answer

The data points are clustered closely around the mean

Answer

The data set has many outliers below the mean

Answer

The mean and median are very different

Question 5

If you roll a fair six-sided die, what is the probability of rolling a number greater than 4?

Accepted Answer

1/3

Answer

1/2

Answer

1/6

Answer

2/3

Question 6

What is the range of the data set: 14, 22, 7, 31, 19?

Accepted Answer

24

Answer

19

Answer

7

Answer

31