The grades CGPA of 5 college students and their average salaries in lakhs-year are given in the table below- Calculate the rank coefficient- begin array - c - c - c -Whine CGPA -G - Salary S 11 hline 6-5 - 4 Wlhline7-0 - 5 ll lhline8-0 - 6-5 llhline7-5 - 8 IWhline9-5 - 7 Whline -end array A- 0-7B- -0-8C- 0-9D- -0-6

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Byju's Answer

Standard XI

Statistics

Spearman's Rank Coefficient for Quantitative Data

The grades CG...

Question

The grades (CGPA) of 5 college students and their average salaries in lakhs/year are given in the table below. Calculate the rank coefficient.

$\begin{matrix} C G P A (G) & S a l a r y (S) 6.5 & 4 7.0 & 5 8.0 & 6.5 7.5 & 8 9.5 & 7 \end{matrix}$

-0.6

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0.7

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-0.8

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0.9

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Solution

The correct option is B
0.7

Convert the CGPA and salary to corresponding ranks and calculate deviations.

$\begin{matrix} G & S & D = G - S & D^{2} 5 & 5 & 0 & 0 4 & 4 & 0 & 0 2 & 3 & - 1 & 1 3 & 1 & 2 & 4 1 & 2 & - 1 & 1 \sum = 6 \end{matrix}$

$r_{k} = 1 - \frac{6 \sum D_{i}^{2}}{n^{3} - n} = 1 - \frac{6 \times 6}{125 - 5} = 1 - \frac{36}{120} = 0.7$

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The grades (CGPA) of 5 college students and their average salaries in lakhs/year are given in the table below. Calculate the rank coefficient. CGPA (G)Salary (S)6.547.058.06.57.589.57

The correct option is B 0.7 Convert the CGPA and salary to corresponding ranks and calculate deviations. GSD=G−SD25500440023−11312412−11∑=6 rk=1−6∑D2in3−n=1−6×6125−5=1−36120=0.7

The grades (CGPA) of 5 college students and their average salaries in lakhs/year are given in the table below. Calculate the rank coefficient.

$\begin{matrix} C G P A (G) & S a l a r y (S) 6.5 & 4 7.0 & 5 8.0 & 6.5 7.5 & 8 9.5 & 7 \end{matrix}$