The IQ and EQ scores for 5 people are shown below- Find the rank coefficient of correlation for their IQ and EQ-WheIQ - EQ Whline100 - 115 Whline115 - 105 Whline 125 - 110 Whline145 - 100 Whline90 - 120 Whlineend array

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Spearman's Rank Coefficient

The IQ and EQ...

Question

The IQ and EQ scores for 5 people are shown below. Find the rank coefficient of correlation for their IQ and EQ.

$\begin{matrix} I Q & E Q 100 & 115 115 & 105 125 & 110 145 & 100 90 & 120 \end{matrix}$

0.6

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0.8

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-0.9

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-0.4

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Solution

The correct option is C
-0.9

Convert the IQ and EQ scores to corresponding ranks and calculate deviations.

$\begin{matrix} I Q & E Q & D = I Q - E Q & D^{2} 4 & 2 & 2 & 4 3 & 4 & - 1 & 1 2 & 3 & - 1 & 1 1 & 5 & - 4 & 16 5 & 1 & 4 & 16 \sum = 38 \end{matrix}$

$r_{k} = 1 - \frac{6 \sum D_{i}^{2}}{n^{3} - n} = 1 - \frac{6 \times 38}{125 - 5} = 1 - \frac{228}{120} = - 0.9$

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The median for the data is

$\begin{matrix} IQ & 60 - 70 & 70 - 80 & 80 - 90 & 90 - 100 & 100 - 110 & 110 - 120 & 120 - 130 No. of pupils & 2 & 3 & 5 & 16 & 14 & 13 & 7 \end{matrix}$

The median for the data is :

$\begin{matrix} IQ & 60 - 70 & 70 - 80 & 80 - 90 & 90 - 100 & 100 - 110 & 110 - 120 & 120 - 130 No. of pupils & 2 & 3 & 5 & 16 & 14 & 13 & 7 \end{matrix}$

Q. The average IQ of

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110

. If three of these people each have an IQ of

105

, what is the IQ of the fourth person?

Q. Draw Histogram for the following: [3 MARKS]

\begin{matrix} IQ. Score & 80 - 90 & 90 - 100 & 100 - 110 & 110 - 120 & 120 - 130 & 130 - 140 No. of Students & 6 & 9 & 16 & 13 & 4 & 2 \end{matrix}

Q. From the following data calculate coefficient of correlation by the method of rank differences.

X	:	75	68	95	70	60	80	81	50
Y	:	120	134	150	115	110	140	142	100

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The IQ and EQ scores for 5 people are shown below. Find the rank coefficient of correlation for their IQ and EQ. IQEQ10011511510512511014510090120

The correct option is C -0.9 Convert the IQ and EQ scores to corresponding ranks and calculate deviations. IQEQD=IQ−EQD2422434−1123−1115−41651416∑=38 rk=1−6∑D2in3−n=1−6×38125−5=1−228120=−0.9

The IQ and EQ scores for 5 people are shown below. Find the rank coefficient of correlation for their IQ and EQ.

$\begin{matrix} I Q & E Q 100 & 115 115 & 105 125 & 110 145 & 100 90 & 120 \end{matrix}$