Measures of Central Tendency

IMPORTANT

Measures of Central Tendency: Overview

This Topic covers sub-topics such as Measures of Central Tendency, Mean for Grouped Data, Median of Grouped Data, Weighted Arithmetic Mean, Combined Mean, Mode of Grouped Data, Properties of Arithmetic Mean and, Properties of Median

Important Questions on Measures of Central Tendency

MEDIUM
IMPORTANT

Find the mode of 4, 4, 4, 9, 15, 15, 15, 27, 37, 48, 55, 59, 60, 78, 78, 90 data set.

EASY
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Give one example in which the mean is an appropriate measure of central tendency.

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The median of 10, 11, 12, 8, 14, 9, 6 is _____?

Calculate the fourth term.

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Find the weighted arithmetic mean of the following data.

Question Image 

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If the mean, median and mode coincide, then it is a

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Find out the mode of the following frequency distribution by the graphical method :

Expenses (In Rs) 0-10 10-20 20-30 30-40 40-50
No . of families 14 23 27 21 15

EASY
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The measure of central tendency which is given by the x-coordinate of the point of intersection of the 'more than' ogive and 'less than' ogive is

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The following distribution give the daily income of 50 workers of a factory.Draw the ogive of a "less than type' cumulative frequency distribution and hence obtain the median daily income.

Daily income 200-250 250-300 300-350 350-400 400-450 450-500
Number of workers 10 5 11 8 6 10

 

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Find the combined mean from the following data

N1=20, X1=5

N2=80, X2=20

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Find the combined mean from the following data

N1=40, X1=10

N2=60, X2=15

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The mean of 14 numbers is 8. If 4 is added to every number, what will be the new mean?

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The mean of 14 numbers is 6. If 3 is added to every number, what will be the new mean?

EASY
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Arjun rolled a die a number of times and recorded her results in a bar graph, as follows:
[image]

What was the median score?

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A taxi driver records the distances of his journeys, to the nearest km, over the course of a long weekend shift.

Distance 1-5 6-10 11-15 16-20 21-25
Frequency 10 6 8 5 2

The modal class is

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IMPORTANT

Which of the following cannot be determined graphically?

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The following table shows the number of students and the time they utilised daily for their studies. Find the mean time (in hours), spent by students for their studies:

Time hours No. of students
0-2 8
2-4 14
4-6 18
6-8 10
8-10 10

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IMPORTANT

Calculate the median of the following frequency distribution table :

Class-interval Frequency fi
1-4 6
4-7 30
7-10 40
10-13 16
13-16 4
16-19 4
  fi=100

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IMPORTANT

Find the mean age of 100 residents of a colony from the following data.

Age

(in years)

0-10 10-20 20-30 30-40 40-50 50-60 60-70
No. of
Persons
10 15 25 25 10 10 5

EASY
IMPORTANT

Find the mode from the following information: L=10, h=2, f0=58, f1=70, f2=42.

MEDIUM
IMPORTANT

The following table shows the number of students and the time they utilised daily for their studies. Find the mean time (in hours), spent by students for their studies:

Time hours No. of students
0-2 8
2-4 14
4-6 18
6-8 10
8-10 10