# WEIGHTED ARITHMETIC MEAN WORKSHEET

## About "Weighted arithmetic mean worksheet"

Weighted arithmetic mean worksheet :

Here we are going to see some practice questions on weighted arithmetic mean.

## Weighted arithmetic mean -  practice problems

Question 1 :

Find the weighted A.M of the price for the following data

 Food stuffRiceSugarOil Quantity(in kg) wi25128 Price per kg (in \$) xi303070

Question 2 :

For a month, a family requires the commodities listed in the table below. The weights to each commodity is given. Find the Weighted A.M.

 CommodityRiceWheatPulsesVegetablesOil Weight (in kg) 255483 Price per kg (in \$) 3020602565

Question 3 :

Find the Weighted A.M for the following data

 ItemPowderSoapPenInstrument box Number of item2454 Cost of item\$45\$12\$15\$25.50

## Weighted arithmetic mean worksheet - Solution

Question 1 :

Find the weighted A.M of the price for the following data

 Food stuffRiceSugarOil Quantity(in kg) wi25128 Price per kg (in \$) xi303070

Solution :

Here the x-values are the price of the given food stuff and the weights associated are the quantities (in Kg)

Then, the Weighted arithmetic mean

=  (w1 x1 + w2x2 + w3x3 + ................ + wnxn) / (w1 + w2 + w3 + .....wn)

=  (25 ⋅ 30) + (12 ⋅ 30) + (8 ⋅ 70) / (25 + 12 + 8)

=  (750 + 360 + 560) / 45

=  1670 / 45

=  \$37.11

Question 2 :

For a month, a family requires the commodities listed in the table below. The weights to each commodity is given. Find the Weighted A.M.

 CommodityRiceWheatPulsesVegetablesOil Weight (in kg) 255483 Price per kg (in \$) 3020602565

Solution :

Here the x-values are the price of the given food stuff and the weights associated are the quantities (in Kg)

Then, the Weighted arithmetic mean

=  (w1 x1 + w2x2 + w3x3 + ................ + wnxn) / (w1 + w2 + w3 + .....wn)

=  (25⋅30) + (5⋅20) + (4⋅60) (8⋅25) (3⋅65)

/ (25 + 5 + 4 + 8 + 3)

=  (750 + 100 + 240 + 200 + 195) / 45

=  1485 / 45

=  \$33

Question 3 :

Find the Weighted A.M for the following data

 ItemPowderSoapPenInstrument box Number of item2454 Cost of item\$45\$12\$15\$25.50

Solution :

Here the x-values are the number of items and the weights associated are cost of item in \$.

Then, the Weighted arithmetic mean

=  (w1 x1 + w2x2 + w3x3 + ................ + wnxn) / (w1 + w2 + w3 + .....wn)

=  (2⋅45) + (4⋅12) + (5⋅15) (4⋅25.50)/ (2 + 4 + 5 + 4)

=  (90 + 48 + 75 + 102) / 15

=  315 / 15

=  \$21

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