The average of the first $100$ positive integers is
$100$
$51$
$50.5$
$49.5$
The required average
$=\frac{1+2+\cdots +100}{100}$
$=\frac{100 \times 101}{2 \times 100}=50.5$
A cricketer, whose bowing average was $12.4$ runs/wicket takes $5$ wickets for $22$ runs in a match, thereby decreases his average by $0.4$ The number of wickets, taken by him before this match was
The average of the first $7$ integers in series of $13$ consecutive odd integers is $37 .$ What is the average of the entire series ?
The batting average of a cricket player for $64$ innings is $62$ runs. His highest score exceeds his lowest score by $180$ runs. Excluding these two innings, the average of remaining innings becomes $60$ runs. His highest score was (in $Runs$)
Three year ago, the average age of a family of five members was $27 \,year.$ The present average age is also $27 \,year$ after the inclusion of a child into the family. Find the age of the child in $year$ ?
A batsman score $98$ runs in the $17^{\text {th }}$ match of his career. His average runs per match increase by $2.5$ What is his average before the $17^{\text {th }}$ match?
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