z scores and probability

Question 1

Probability

Answer 1

𝑝𝑟𝑜𝑏𝑎𝑏𝑖𝑙𝑖𝑡𝑦 = 𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑓𝑎𝑣𝑜𝑢𝑟𝑎𝑏𝑙𝑒 𝑜𝑢𝑡𝑐𝑜𝑚𝑒𝑠/ 𝑇𝑜𝑡𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑝𝑜𝑠𝑠𝑖𝑏𝑙𝑒 𝑜𝑢𝑡𝑐𝑜𝑚𝑒𝑠

Question 2

z-score

Answer 2

A z-score expresses the raw score in SD units – it indicates the
number of SDs away from the mean

Question 3

To calculate z score

Answer 3

z-score: (raw score – mean)/SD

Question 4

Interpretation of a z-score involves two parts

Answer 4

1. The sign of the z-score(+/-)
2. The numerical value of the z-score

Question 5

Probability Distribution

Answer 5

Shows all the probable outcomes and the probability associated with each outcome