Answer to Question #322667 in Statistics and Probability for sael

Question

What is meant by the following measures of position below?

1. Q₃ = 94

2. D₈ = 17

3. P₉₀ = 42

Answer 1

1. Q₃=94. Third quartile is the middle value, or median, of the upper half of the data. It is equal to 94.

Three-fourths of the ordered data set are less than 94.

2.8th decil has 80% of the observations falling below it, and equals 17.

3.90 percentile, 90% of data values are less than or equal to the 90th percentile and equal 42.