Question

The distance (in km) of $40$ engineers from their residence to their place of work were found as follows:
$5,3,10,20,25,11,13,7,12,31,19,10,12,17,18,11,32,17,16,2,7,9,7,8,$

$3,5,12,15,18,3,12,14,2,9,6,15,15,7,6,12$
How many engineers travelled distance more than $14$ and less than $26$?

• A. $9$
• B. $10$
• C. $11$
• D. $8$

Answer 1

The correct option is C $11$

Distance of engineers from their residence to their work place is given by

$5,3,10,20,25,11,13,7,12,31,19,10,12,17,18,11,32,17,16,2,7,9,7,8,$

$3,5,12,15,18,3,12,14,2,9,6,15,15,7,6,12$

Now, the distances less than more than $15$ and less than $25$ are $15,16,17,18,19,20,21,22,23,24,25$

The distance$(>14and<26)$ travelled by engineers are $20,25,19,17,18,17,16,15,18,15,15$

$\therefore$ The number of engineers who travelled distance more than $14$ and less than $26$ is $11$.

Hence, option C is correct.