Unit 10 - Statistics and Probability

Question 1

Define Mean

Answer 1

sum of terms/number of terms

Question 2

Define Median

Answer 2

Middle value when the values are ranked in ascending or descending order.

Question 3

Define Mode

Answer 3

The most frequently occurring value

Question 4

The range of a dataset is

Answer 4

the difference between the largest and smallest values in that dataset.

Question 5

The interquartile range is

Answer 5

the middle half of the data.

Question 6

Variance Equation

Answer 6

𝑠2 =∑(𝑥𝑖 − 𝜇)^2
𝑛 − 1

Question 7

Standard Deviation Equation

Answer 7

√ ∑(𝑥𝑖 − 𝜇)^2
𝑛 − 1

Question 8

In Statistic Probability: Multiplication Rule

Answer 8

Whenever an event is the intersection of two other events, that is, events A and
B need to occur simultaneously. Then P(A and B) = P(A) · P(B).

Question 9

In statistics probability: Addition Rule

Answer 9

If two events are mutually exclusive, the probability of either E or F:
𝑃(𝐸 ∪ 𝐹) = 𝑃(𝐸) + 𝑃(𝐹)
If the events are not mutually exclusive (you need to correct the “overlap”):
𝑃(𝐸 ∪ 𝐹) = 𝑃(𝐸) + 𝑃(𝐹) − 𝑃(𝐸 ∩ 𝐹),
where
𝑃(𝐸 ∩ 𝐹) = 𝑃(𝐸) × 𝑃(𝐹 | 𝐸)