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Direct Method of Finding Mean

The following...

Question

The following table gives the number of branches and number of plants in the garden of a school.
No. of branches (x) : 2 3 4 5 6
No. of plants (f) : 49 43 57 38 13
Calculate the average number of branches per plant.

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Solution

Mean = $fraction numerator begin display style stack sum f subscript i x subscript i with i equals 1 below end style over denominator N end fraction$ = $fraction numerator 49 cross times 2 plus 43 cross times 3 plus 57 cross times 4 plus 38 cross times 5 plus 13 cross times 6 over denominator 200 end fraction equals 723 over 200 space equals 3.615$

Therefore the average number of branches per plant is 3.615

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Similar questions

Q. The following table gives the number of branches and number of plants in the garden of a school.

No. of branches ( $x$ ):	$2$	$3$	$4$	$5$	$6$
No. of plants ( $f$ ):	$49$	$43$	$57$	$38$	$13$

Calculate the average number of branches per plant

Q. The following table given the number of branches and number of plants in the garden of a school.

No. of branches (x):	2	3	4	5	6
No. of plants (f):	49	43	57	38	13

Q. The following table gives the numbers of branches and number plants in a garden of a school.

No. of branches	$2$	$3$	$4$	$5$	$6$
No. of plants	$14$	$21$	$28$	$20$	$17$

Calculate the mean, median and mode of the above data.

Q. The following table gives the distribution of wages in the two branches of a factory:

Monthly wages ( in ₹)	:	100-150	150-200	200-250	250-300	300-350	Total
Number of workers	:
Branch A	:	167	207	253	205	168	1000
Branch B	:	63	93	157	105	82	500

Find the mean and standard deviation for the two branches for the wages separately.
(a) Which branch pays higher average wages?
(b) Which branch has greater variability in wages in relation to the average wages?
(c) What is the average monthly wage for the factory as a whole?
(d) What is the variance of wages of all the workers in the two branches

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A and B taken together?

__________ plant tissue allows easy bending of the plant near the leaves and branches without breaking.

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