Question #189783

Rank each of the following value in order of smallest to largest: (7)

I. the upper quartile.

II. the median.

III. the 20th percentile.

IV. decile 6.

V. the 0.38 fractile.

VI. the 70th percentile.

VII. the lower quartile


1
Expert's answer
2021-05-07T14:24:38-0400

Let 'N' be the no. of bservation

then,


Upper Quartile, Q3=3N4=0.75NQ_3=\dfrac{3N}{4}=0.75N


Median, Q2=N2=0.5NQ_2=\dfrac{N}{2}=0.5N


20th20^{th} ​Percentile,P20=20N100=0.2NP_{20}=\dfrac{20N}{100}=0.2N


Decile 6, D6=6N10=0.6ND_6=\dfrac{6N}{10}=0.6N


0.38 fractile, F0.38=0.38NF_{0.38}=0.38N


70th70^{th} ​Percentile,P70=70N100=0.70NP_{70}=\dfrac{70N}{100}=0.70N


Lower Quartile, Q1=N4=0.25NQ_1=\dfrac{N}{4}=0.25N


From the above results, The ranks from smallest value to largest value are as follows-


(1) 20th20^{th} Percentile

(2) Lower Quartile

(3) 0.38 fractile

(4) Median

(5) Decile 6

(6) 70th70^{th} Percentile

(7) Upper Quartile


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!
LATEST TUTORIALS
APPROVED BY CLIENTS