EOC EOC Statistics and Probability 1

Question 1

What is the 'mean' of a data set?

Accepted Answer

The sum of all values divided by the number of values

Answer

The mean, or arithmetic average, is calculated by adding all values in a data set and then dividing by the total number of values.

Question 2

In a data set, what is the 'median'?

Accepted Answer

The middle value when data is arranged in order

Answer

The median is the middle value in a data set when the values are arranged in ascending or descending order, and it is not affected by outliers.

Question 3

A bag contains 3 red marbles and 7 blue marbles. What is the probability of randomly selecting a red marble?

Accepted Answer

3/10

Answer

Probability is calculated as the number of favorable outcomes divided by total outcomes: 3 red ÷ 10 total = 3/10.

Question 4

What does a 'box plot' (box-and-whisker plot) display?

Accepted Answer

The five-number summary of a data set

Answer

A box plot displays the five-number summary: minimum, first quartile (Q1), median, third quartile (Q3), and maximum of a data set.

Question 5

What is the 'range' of a data set?

Accepted Answer

The difference between the maximum and minimum values

Answer

Range is a measure of spread calculated by subtracting the smallest value from the largest value in a data set.

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