Measures of Central Tendency

IMPORTANT

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

EASY
IMPORTANT

A die is thrown 10 times and obtained the following outputs:

1, 2, 1, 1, 2, 1, 4, 6, 5, 4

What will be the mode of data so obtained?

EASY
IMPORTANT

The observations 4, 1, 4, 3, 6, 2, 1, 3, 4, 5, 1, 6 are outputs of 12 dices thrown simultaneously. If m and M are means of lowest 8 observations and highest 4 observations respectively, then what is 2m+M equal to?

HARD
IMPORTANT

The mean and variance of five observations are 14 and 13·2 respectively. Three of the five observations are 11, 16 and 20. What are the other two observations?

EASY
IMPORTANT

Let P, Q, R represent mean, median and mode. If for some distribution 5P=4Q=R2, then what is P+Q2P+Q7R equal to?

EASY
IMPORTANT

For data -1, 1, 4, 3, 8, 12, 17, 19, 9, 11; if M is the median of first 5 observations and N is the median of last five observations, then what is the value of 4M-N?

EASY
IMPORTANT

Consider the following frequency distribution :

x 1 2 3 5
f 4 6 9 7

What is the value of median of the distribution?

MEDIUM
IMPORTANT

Let x1,x2,,x100 be in an arithmetic progression, with x1=2 and their mean equal to 200 . If yi=ixi-i,1i100, then the mean of y1,y2,, y100 is

MEDIUM
IMPORTANT

In an examination, the average marks of 7 children was 20, that of 3 children was 45, that of another 4  children was 15 and that of 2  children was 0. What is the average marks of all the 16 children?

MEDIUM
IMPORTANT

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

MEDIUM
IMPORTANT

There are n numbers. When 50 is subtracted from each of these number the sum of the numbers so obtained is -10. When 46 is subtracted from each of the original n numbers, then the sum of numbers, so obtained is 70. What is the mean of the original n numbers?

EASY
IMPORTANT

If the AM and HM of two numbers are 6 and 9 respectively, then GM is__________

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IMPORTANT

If the AM and HM of two numbers are 6 and 9 respectively, then GM is __________

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IMPORTANT

A fire engine rushes to a place of fire accident with a speed of 110 km ph and after the completion of operation returned to the base at a speed of 35 km ph. The average speed per hour in per direction is obtained as Speed.

EASY
IMPORTANT

Which one of these is least affected by extreme values?

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IMPORTANT

The HM of A and B is 13 and HM of C and D is 15. Then HM of A, B, C and D is __________

EASY
IMPORTANT

If any two numbers are in AP, then GM2= _________

EASY
IMPORTANT

For a distribution Mean, Median and Mode are 23, 24 and 25.5 respectively, then it is most likely__________ skewed distribution

EASY
IMPORTANT

Find the mode of the following distribution.

Class : 0-7 7-14 14-21 21-28 28-35 35-42 42-49
Frequency 19 25 36 72 51 43 28

EASY
IMPORTANT

Which measure is suitable for open - end classification?

EASY
IMPORTANT

Find the mode from the following data:

Class : 3-6 6-9 9-12 12-15 15-18 18-21 21-24
Frequency 2 5 10 23 21 12 3