In a recent study on world happiness, participants were asked to evaluate their current lives on a scale of 0 to 10, where 0 represents the worst possible life and 10 represents the best possible life. The mean response was 5.9 with a standard deviation of 2.6.

a. what response represents the 88th percentile?

b. what response represents the 60th percentile?

c. what response represents the first quartile?

1 answer

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion/probability and its Z score.

Z = (score-mean)/SD

Insert the data into the equation to calculate the score (response).