CBSE Class 9 Mathematics Question 3 of 9

Statistics — Question 3

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Question 3

Given below are the seats won by different political parties in the polling outcome of a state assembly elections:

Political PartySeats Won
A75
B55
C37
D29
E10
F37

(i) Draw a bar graph to represent the polling results.

(ii) Which political party won the maximum number of seats?

Answer

Taking Political Party on the x-axis and seats won on the y-axis.

(i) Steps of construction of histogram :

  1. Plot the political parties on x-axis.

  2. Plot number of seats won on y-axis by taking 1 unit = 10 seats.

  3. To represent our first Head, i.e., party A, we draw a rectangular bar with width 1 unit and height 75 units.

  4. Similarly, other Heads are represented leaving a gap of 1 unit in between two consecutive bars.

Given below are the seats won by different political parties in the polling outcome of a state assembly elections: NCERT Class 9 Mathematics CBSE Solutions.

(ii) From graph,

The maximum no. of seats won are 75 by political party A.

Hence, political party A has won the maximum number of seats.

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Statistics — Interactive Study Guide

Histogram vs Bar Graph

FeatureBar GraphHistogram
Data typeDiscrete/categoricalContinuous/grouped
GapsYes (between bars)No (bars touch)
Unequal widthsNot applicableUse frequency density

Mean, Median, Mode

Mean: Sum of all values / count. Affected by extreme values.
Median: Middle value (after sorting). Not affected by extreme values.
Mode: Most frequent value. Can have multiple modes or no mode.

Quick Self-Check

  1. Mean of 2, 4, 6, 8, 10? (30/5 = 6)
  2. Median of 3, 1, 7, 5, 9? (Sorted: 1,3,5,7,9. Median = 5)
  3. Mode of 2, 3, 3, 5, 5, 5, 7? (5)

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