Farm Size $56$ $57$ $58$ $59$ $60$ $61$ $62$
Number of cultivating house holds $6$ $4$ $3$ $2$ $13$ $11$ $3$
Find the arithmetic mean of the following data.

59.35

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57.35

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61.35

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52.35

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Solution

The correct option is A $59.35$
Let us first construct the table
$¯ x = \frac{\sum f_{i} x_{i}}{\sum f_{i}}$
$¯ x = \frac{2493}{42}$
$¯ x = 59.35$

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^{61} C_{57} -^{60} C_{56}

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Marks	58	59	60	61	62	63	64	65	66
No. of Students	2	3	6	15	10	5	4	3	1

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Farm Size	$56$	$57$	$58$	$59$	$60$	$61$	$62$
Number of cultivating house holds	$6$	$4$	$3$	$2$	$13$	$11$	$3$