There are $68$ students of$9th$ standard from model High school, Nandpur. They have scored following marks out of $80$, in written exam of mathematics.

$70, 50, 60, 66, 45, 46, 38, 30, 40, 47, 56, 68,80, 79, 39, 43, 57, 61, 51, 32, 42, 43, 75, 43,36, 37, 61, 71, 32, 40, 45, 32, 36, 42, 43, 55,56, 62, 66, 72, 73, 78, 36, 46, 47, 52, 68, 78,80, 49, 59, 69, 65, 35, 46, 56, 57, 60, 36, 37,45, 42, 70, 37, 45, 66, 56, 47$

By taking classes $30-40, 40-50, ....$ prepare the less than type cumulative frequency table Using the table, answer the following questions:  

How many students have scored marks less than$60$?

By using data in example $\left(6\right)$, and taking classes $30-40, 40-50...$ prepare equal to or more than type cumulative frequency table and answer the following questions based on it.

How many students have scored marks $70$ or more than $70$?

There are $68$ students of$9th$ standard from model Highschool, Nandpur. They have scored following marks out of $80$, in written exam of mathematics.

$70, 50, 60, 66, 45, 46, 38, 30, 40, 47, 56, 68,80, 79, 39, 43, 57, 61, 51, 32, 42, 43, 75, 43,36, 37, 61, 71, 32, 40, 45, 32, 36, 42, 43, 55,56, 62, 66, 72, 73, 78, 36, 46, 47, 52, 68, 78,80, 49, 59, 69, 65, 35, 46, 56, 57, 60, 36, 37,45, 42, 70, 37, 45, 66, 56, 47$

There are $10$ observations arranged in ascending order as given below.

$45,47,50,52, x, x + 2, 60,62,63,74$

The median of these observations is $53$. Find the value of $x$. Also find the mean and the mode of the data.