In a retail market, fruit vendors were selling mangoes kept in packing boxes. These boxes contained varying number of mangoes. The following was the distribution of mangoes according to the number of boxes.
No. of mangoes
$50 - 52$
$53 - 55$
$56 - 58$
$59 - 61$
$62 - 64$
No. of boxes
$15$
$110$
$135$
$115$
$25$
If mean number of mangoes kept in a pocket box. Which method of finding the mean did you choose?

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Solution

$F o r g r o u p e d d a t a w h e n C l a s s I n t e r v a l i s g i v e n, w e f i n d t h e C l a s s M a r k . C l a s s M a r k = m i d p o i n t o f a n i n t e r v a l = \frac{(L o w e r l i m i t + U p p e r l i m i t)}{2} C l a s s M a r k i s t a k e n a s x_{i} f o r e a c h c l a s s i n t e r v a l, f i n d x_{i} f_{i} . N o w M e a n = \frac{Σ x_{i} f_{i}}{Σ f_{i}} = \frac{22875}{400} = 57.1875 = 57.19$

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Q. In a retail market , fruit vendors were selling mangoes kept in packed boxes. These boxes contained different number of mangoes. The following was the distribution of mangoes according to the number of boxes ?

Number of mangoes	$50 - 52$	$53 - 55$	$56 - 58$	$59 - 61$	$62 - 64$
Number of boxes	$15$	$110$	$135$	$115$	$25$

Find the mean number of mangoes using step-deviation method.

Q. In a retail market, fruit vendors were selling mangoes kept in packing boxes. These boxes contained varying number of mangoes. The following was the distribution of mangoes according to the number of boxes.

Number of mangoes:	50−52	53−55	56−58	59−61	62−64
Number of boxes:	15	110	135	115	25

Find the mean number of mangoes kept in a packing box. Which method of finding the mean did you choose?

In a retail market, fruit vendors were selling mangoes kept in packing boxes. These boxes contained varying number of mangoes. The following was the distribution of mangoes according to the number of boxes.
Find the mean number of mangoes kept in a packing box. (approximately)

$\begin{matrix} Number of Mangoes & 50 - 52 & 53 - 55 & 56 - 58 & 59 - 61 & 62 - 64 Number of boxes & 15 & 110 & 135 & 115 & 25 \end{matrix}$

Consider the following distribution of the number of mangoes being packed in cardboard boxes where these boxes contain varying number of mangoes. Find the mean number of mangoes kept in a packing box using assumed mean method.

$\begin{matrix} N u m b e r o f M a n g o e s & 50 - 52 & 53 - 55 & 56 - 58 & 59 - 61 & 62 - 64 N u m b e r o f b o x e s & 15 & 110 & 135 & 115 & 25 \end{matrix}$

Can the assumed mean be 60?

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No. of mangoes	$50 - 52$	$53 - 55$	$56 - 58$	$59 - 61$	$62 - 64$
No. of boxes	$15$	$110$	$135$	$115$	$25$

ForgroupeddatawhenClassIntervalisgiven,wefindtheClassMark.ClassMark=midpointofaninterval=(Lowerlimit+Upperlimit)2ClassMarkistakenasxiforeachclassinterval,findxifi.NowMean=ΣxifiΣfi=22875400=57.1875=57.19