The following are the number of books issued in a school library in $20$ days:
$305$
$500$
$450$
$489$
$365$
$296$
$413$
$503$
$437$
$482$
$386$
$429$
$455$
$427$
$474$
$399$
$325$
$373$
$455$
$397$
Find the average number of books issued per day.

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Solution

Step 1:Use the formula of mean.
$x = \frac{S u m o f o b s e r v a t i o n s}{N u m b e r o f o b s e r v a t i o n s}$
$x = \frac{(x_{1} + x_{2} + x_{3} + . . . . . . . . . + x_{n})}{n}$
$x = \frac{\sum x_{i}}{n}$
Where,
$\sum =$ Sigma symbol or summation of the observations.
$x =$ Mean of observations.
Step 2: Calculate the mean value.
$\bar{x} = \frac{305 + 500 + 450 + 489 + 365 + 296 + 413 + 503 + 437 + 482 + 386 + 429 + 455 + 427 + 474 + 399 + 325 + 373 + 455 + 397}{20}$
Sum of the books issued in $20$ days $= 8360$ .
Number of days $= 20$ .
Therefore, the number of books issued per day,
$x = \frac{8360}{20}$
$x = 418$ .
Final answer:
Hence, the average number of books issued per day is $418$ books.

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The following are the number of books issued in a school library in $20$ days:
$305$
$500$
$450$
$489$
$365$
$296$
$413$
$503$
$437$
$482$
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