Average of consecutive numbers is n . If next two consecutive numbers are also included, average of

English

Gujarati

Hindi

4.Average

medium

The average of consecutive numbers is $n .$ If the next two consecutive numbers are also included, the average of the five numbers will

A

remain the same

B

increase by $0.5$

C

increase by $1$

D

increase by $1.5$

Solution

Let, the numbers be $n-1, n$ and $n+1$. Their average

$=n$

The next two consecutive numbers are $n+2$ and $n+3$.

Therefore, the average of the five numbers

$=\frac{(n-1)+n+(n+1)+(n+2)+(n+3)}{5}$

$=\frac{5 n+5}{5}$

$=n+1$

Standard 13

Quantitative Aptitude

Share

Similar Questions

The daily earnings of a taxi driver during a week are: $Rs.0\,, Rs.65\,, Rs.70\,, Rs.52.50\,, Rs.63\,, Rs.73\,$ and $Rs.68$ What is his average daily earning for the week? (in $Rs.$)

medium

If the average marks of three batches of $55,60$ and $45$ students respectively is $50,55$ and $60 ,$ then the average marks of all the students is

medium

Of the three numbers whose average is $60,$ the first is one-fourth of the sum of the others. The first number is

medium

The average marks obtained by a class of $60$ students is $05.$ The average marks of half of the students is found to be $85 .$ The average marks of the remaining students is

medium

A man covers $\frac{1}{3}$ of his journey by train at $80\, km / h ,$ next $\frac{1}{3}$ by $60\, km / h$ and the rest by bicycle at $30 \,km / h$. Find the average speed of the man during the whole journey. (in $km/h$)

medium