3 Mark Question

Question 13 Marks

A farmer bought some sacks of animal feed. The weights of the sacks are given below in kilograms. What is the average weight of the sacks ?
$49.8, 49.7, 49.5, 49.3, 50,48.9, 49.2, 48.8.$

Answer

$\text { Average weight of the sacks } =\frac{\text { sum of weight of each sack }}{\text { number of sacks }}$
$=\frac{49.8+49.7+49.5+49.3+50+48.9+49.2+48.8}{8}$
$=\frac{395.2}{8}$
$=\frac{3952}{80}$
$=49.4$
$\therefore$ The average weight of the sacks is $49.4 \mathrm{~kg}$.

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Question 23 Marks

The annual rainfall in Vidarbha in five years is given below. What is the average rainfall for those $5$ years ?
$900\ mm, 650\ mm, 450\ mm, 733\ mm, 400\ mm.$

Answer

$ \text { Average rainfall for } 5 \text { years } =\frac{\text { sum of annual rainfall in five years }}{\text { number of years }}$
$=\frac{900+650+450+733+400}{5}$
$=\frac{3133}{5}$
$=626.6$
$\therefore$ The average rainfall in Vidarbha for $5$ years was $626.6 \mathrm{~mm}$.

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Question 33 Marks

During the annual function of a school, a Women’s Self-help Group had set up a snacks stall. Their sales every hour were worth $Rs. 960, Rs. 830, Rs. 945, Rs. 800, Rs. 847, Rs. 970$ respectively. What was the average of the hourly sales ?

Answer

$ \text { Average hourly sales } =\frac{\text { sum of sales every hour }}{\text { number of hours }}$
$=\frac{960+830+945+800+847+970}{6}$
$=\frac{5352}{6}$
$=\text { Rs } 892$
$\therefore$ The average of the hourly sales was $Rs.892 .$

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Question 43 Marks

The daily rainfall for each day of a week in a certain city is given in millimeters. Find the average rainfall during the week.
$9, 11, 8, 20, 10, 16, 12$

Answer

$\text { Average rainfall during the week } =\frac{\text { sum of rainfall for each day of the week }}{\text { number of days }}$
$=\frac{9+11+8+20+10+16+12}{7}$
$=\frac{86}{7}$
$=12.285 \approx 12.29$
$\therefore$ The average rainfall during the week is $12.29 \mathrm{~mm}$.

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Maths 3 Mark Question

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