Measures of Central Tendency for Ungrouped Data

If $\mathrm{M}$ is the median, then what is the value of $3\mathrm{M}$ ?

What is the mode of the distribution?

If the median (P) and mode (Q) satisfy the relation $7(Q-P)=9 R$, then what is the value of R ?

The data of different natural numbers $4, 7, 10, 14, 2x+3, 2x+5, 22, 23, 30, 50$ are in ascending order. How many possible values are there for the median of the data for various values of $x$?

What is the median of all possible factors of $120$?

The upper quartile for the following distribution

is given by the size of

Fifteen candidates appeared in an examination. The marks of the candidates who passed in the examination are $9, 6, 7, 8, 8, 9, 6, 5, 4, \text{and} 7$. What is the median of the marks of the all fifteen candidates?

What is the median of $2, 4, 6, ..., 100$?

Following is the Steph's basketball team's scores for the first $10$ games of the season.

Compare the mean, median and mode.

Following is the Steph's basketball team's scores for the first $10$ games of the season.

Find the mode.

Following is the Steph's basketball team's scores for the first $10$ games of the season.

What is the median?

Following is the Steph's basketball team's scores for the first $10$ games of the season.

There are two numbers in the middle of the ascending ordered data set. What are they?

Following is the Steph's basketball team's scores for the first $10$ games of the season.

Rewrite Steph's basketball team's scores from lowest to highest.

Following is the Steph's basketball team's scores for the first $10$ games of the season.

Write a sentence about what you notice about the mean.

Following is the Steph's basketball team's scores for the first $10$ games of the season.

Find the mean score by dividing the total by $10$ (the number of games played).

Find the median of the following observations: $46, 64, 87, 41, 58, 77, 35, 90, 55, 92, 33$. If $92$ is replaced by $99$ and $41$ by $53$ in the above data, find the new median?

For individual series $108, 64, 57, 54, 52$ median is:

In the following question given below, on solving the given statement, we get quantities $\mathrm{I}$, $\mathrm{II}$ and $\mathrm{III}$, solve both quantities and choose the correct option.

Quantity $\mathrm{I}:$ Find the mode of the ungrouped data given below.

$40, 41, 22, 23, 65, 87, 56, 56, 88, 87, 65, 87, 88$

Quantity $\mathrm{II}:$ Find the mode of the ungrouped data given below.

$81, 80, 83, 85, 84, 89, 91, 90, 93, 92, 92, 94$

Quantity $\mathrm{III}:$ Find the mode of the ungrouped data given below.

$121.12, 111.11, 131.41, 151.15, 161.16, 151.15$

For the following data:

$x, 124, 136, x+1, x, 123, x+1, 137, 150, 140$

If the median of the ungrouped data is $138$, then find the mode value for the ungrouped data.

Note: $137<x<140$

For the following data:

$x, 24, x+1, 23, 28, x+1, 25, x+1, x$

If the median of the ungrouped data is $26$, then find the mode value for the ungrouped data.

Note: $25<x<28$