Maharashtra Board Solutions for Chapter: Statistics, Exercise 5: Practice set

In a basket there are $10$ tomatoes. The weight of each of these tomatoes in grams is as follows $60, 70, 90, 95, 50, 65, 70, 80, 85, 95$.

Find the median of the weights of tomatoes.

The calculated mean of $50$ observations are$80$. It was later discovered that observation $19$was recorded by mistake as $91$. What was the correct mean?

Following $10$ observations are arranged in ascending order as follows.

$2, 3, 5, 9, x + 1, x + 3, 14, 16, 19, 20$

If the median of the data is $11$, find the value of $x$.

The mean of $35$ observations are$20$, out of which mean of first $18$ observations are $15$ and mean of last $18$ observations are$25$. Find the $18\mathrm{th}$ observation.

The mean of $5$ observations are $50$. One of the observations was removed from the data, hence the mean became $45$. Find the observation which was removed.

The weights of $10$ students (in kg) are given below :

$40, 35, 42, 43, 37, 35, 37, 37, 42, 37$

Find the mode of the data in kg.

In the following table, the information is given about the number of families and the siblings in the families less than 14 years of age. Find the mode of the data.

There are $40$ students in a class, out of them $15$ are boys. The mean of marks obtained by boys is $33$ and that for girls is$35$. Find out the mean in decimals of all students in the class.