Measures of Central Tendency
Measures of Central Tendency: Overview
This topic covers concepts, such as Properties of Mode, Median for Ungrouped Distribution (An Individual Series), Mean for Ungrouped Distribution (An Individual Series), Arithmetic Mean of Continuous Frequency Distribution, etc.
Important Questions on Measures of Central Tendency
A die is thrown times and obtained the following outputs:
What will be the mode of data so obtained?

The observations are outputs of dices thrown simultaneously. If and are means of lowest observations and highest observations respectively, then what is equal to?

The mean and variance of five observations are and respectively. Three of the five observations are and . What are the other two observations?

Let represent mean, median and mode. If for some distribution , then what is equal to?

For data ; if is the median of first observations and is the median of last five observations, then what is the value of ?

Consider the following frequency distribution :
What is the value of median of the distribution?

Let be in an arithmetic progression, with and their mean equal to . If , then the mean of , is

In an examination, the average marks of children was , that of children was , that of another children was and that of children was . What is the average marks of all the children?

The mean of '' observation is ''. If is added to each observation, then the new mean is

There are numbers. When is subtracted from each of these number the sum of the numbers so obtained is . When is subtracted from each of the original numbers, then the sum of numbers, so obtained is . What is the mean of the original numbers?

If the and of two numbers are and respectively, then is__________

If the and of two numbers are and respectively, then is __________

A fire engine rushes to a place of fire accident with a speed of and after the completion of operation returned to the base at a speed of . The average speed per hour in per direction is obtained as Speed.

Which one of these is least affected by extreme values?

The HM of and is and of and is . Then of and is __________

If any two numbers are in , then _________

For a distribution Mean, Median and Mode are and respectively, then it is most likely__________ skewed distribution

Find the mode of the following distribution.
Class : | |||||||
Frequency |

Which measure is suitable for open - end classification?

Find the mode from the following data:
Class : | |||||||
Frequency |
