Can someone help me figure this out?
1. Find the first and third quartiles, Q1 and Q3 of the following numbers:
347,242,146,391,249,567,277,218,319
and
0.16,0.08,0.27,0.20,0.22,0.32,0.25,0.18,0.28,0.27
2. Which of the following numbers are integers?
75,9.82,-1/14,-498,0.71
The calculation of the quartiles is sometimes not quite clear (especially if the number of observations of a sample is not divisible by four). We therefore provide exact instructions how to calculate the quartiles. Assuming a sample of N observations the quartiles are defined as follows ("round" stands for the rounding to the nearest integer):
1. quartile: the value of the sorted series of observations having the position x = round(0.25*(N+1))
2. quartile (median): if N is even, Q2 is the mean of the two values at the positions N/2 and N/2+1; if N is odd, Q2 is the value at the position (N+1)/2
3. quartile: the value of the sorted series having the position x = round(0.75*(N+1))
Example: