The marks obtained by 10 students in a subject are-itext Students - A - B - C - D - E - F - G - H - I - J W h line itextMarks - 85 - 60 - 50 - 75 - 55 - 40 - 55 - 70 - 45 - 65 Whline end array Calculate arithmetic mean by direct method-

[ Students amp; Marks (X); A amp; 885; B amp; 60; C amp; 50; D amp; 75; ...

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Mathematics

Finding Mean for Grouped Data When Class Intervals Are Not Given

The marks obt...

Question

The marks obtained by 10 students in a subject are:

$\begin{matrix} Students & A & B & C & D & E & F & G & H & I & J Marks & 85 & 60 & 50 & 75 & 55 & 40 & 55 & 70 & 45 & 65 \end{matrix}$

Calculate arithmetic mean by direct method.

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Solution

$\begin{matrix} Students & Marks (X) A & 885 B & 60 C & 50 D & 75 E & 55 F & 40 G & 55 H & 70 I & 45 J & 65 N = 10 & \sum x = 600 \end{matrix}$

So Arithmetic mean = $¯ X = \frac{\sum X}{N} = \frac{600}{10} = 60$

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\begin{matrix} W e i g h t (i n k g) & 40 - 45 & 45 - 50 & 50 - 55 & 55 - 60 & 60 - 65 & 65 - 70 & 70 - 75 N u m b e r o f s t u d e n t s & 2 & 3 & 8 & 6 & 6 & 3 & 2 \end{matrix}

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\begin{matrix} C l a s s i n t e r v a l & F r e q u e n c y 50 - 55 & 5 55 - 60 & 20 60 - 65 & 10 65 - 70 & 10 70 - 75 & 9 75 - 80 & 6 80 - 85 & 12 85 - 90 & 8 \end{matrix}

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The marks obtained by 10 students in a subject are: StudentsABCDEFGHIJMarks85605075554055704565 Calculate arithmetic mean by direct method.

StudentsMarks (X)A885B60C50D75E55F40G55H70I45J65N=10∑ x=600 So Arithmetic mean = ¯X=∑XN=60010=60

The marks obtained by 10 students in a subject are:

$\begin{matrix} Students & A & B & C & D & E & F & G & H & I & J Marks & 85 & 60 & 50 & 75 & 55 & 40 & 55 & 70 & 45 & 65 \end{matrix}$

Calculate arithmetic mean by direct method.

$\begin{matrix} Students & Marks (X) A & 885 B & 60 C & 50 D & 75 E & 55 F & 40 G & 55 H & 70 I & 45 J & 65 N = 10 & \sum x = 600 \end{matrix}$

So Arithmetic mean = $¯ X = \frac{\sum X}{N} = \frac{600}{10} = 60$