Question

The answer says 113.. but when. I use the explained methods it doesn’t ass up!!

I've been trying to get the answer of 113 for the IQR, using the formula in Newbold:

Q1 = the value in the 0.25(n+1)th ordered position which is 3.5

Q1 = 65 + 0.25(82-65)

Q1 = 69.25

and

Q3 = the value in the 0.75(n+1)th ordered position which is 10.5

Q3 = 195 + 0.75(195-195)

Q3 = 195

Therefore IQR = Q3-Q1 = 125.75

Putting the figures into Excel I get Q1 of 73.5, Q3 of 195 therefore IQR = 121.5

Can anyone help explain where I'm going wrong?

4.13. Further exercises ms in newspapers or magazines that might be ? ISthis a porulanon? standard deviation and interquartile range of the . Check against the answers given after the data. Price - Mean (Price-Mean Price 52 64 -82.54 -70.54 -69.54 -52.54 29.54 -27.54 -24.54 19.54 20.46 60.46 60.46 104.46 130.46 6812.60 4975.67 4835.60 2760.29 875.52 758.37 602.14 381.75 418.67 3655.60 3655.60 10912.21 17020.21 4 105 110 115. 155ム 195 239 265 0.00 57661.23 7 IQR4/113 ev.= 66.60 und on the VLE in the ST104a Statistics 1 area aderstanding' self-test quizzes available on the .M. Thorne Statistics for Business and SRN9780273767060

Answer 1

As the number of observations are odd which is 13, the median for the entire data is 110. While calculating Q1 and Q3 we will take 110 in both the series. Q1 is the median of data from 52 to 110 which will be 82 [(n+1)/2][(7+1)/2]th observation that is the 4th observation which is 82.

Now for Q3, we will take data from 110 to 265 and the median will come out as 195 . Again the 4th term of the series from 110 to 265 which is 195.

Now,

IQR = Q3 - Q1

= 195 - 82

= 113