Median of Grouped Data

$100$ surnames were randomly picked up from a local telephone directory.

The frequency distribution of the number of letters in the English alphabet in the surnames was obtained as follows

Determine the median number of letters in the surnames. Find the mean number of letters in the surnames? Also, find the modal size of the surnames up to two places after decimal point.

The following frequency distribution gives the monthly consumption of electricity of $68$ consumers of a locality. Find the median, mean, and mode of the data and compare them.

Find the mean, median and mode of the following data:

Find the median marks in the data.

Median of a data, arranged in ascending order $7, 10, 15, x, y, 27, 30$ is $17$ and when one more observation $50$ is added to the data, the median becomes $18$. Find $x$ and $y$.

In an interview with maximum marks $250$, the marks of top $200$ students were distributed as below

Calculate Median to the nearest integer

The marks of $10$ students of a class in an examination arranged in ascending order is as follows

$13, 35, 43, 46, x, x+4, 55, 61, 71, 80$

If the median marks is $48$, find the value of $x$. Hence, find the mode of the given data.

Find the median of the first ten natural numbers.