RS Aggarwal Solutions Class 9 Maths Chapter 18 Mean Median and Mode of Ungrouped Data 2023

RS Aggarwal Solutions Class 9 Maths Chapter 18 Mean Median and Mode of Ungrouped Data: Begin your Class 9 Maths exam prep with the RS Aggarwal Solutions Class 9 Maths. All the solutions of RS Aggarwal Solutions Class 9 Maths Chapter 18 Mean Median and Mode of Ungrouped Data are designed by subject matter experts and will be helpful for your class assignments as well.

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RS Aggarwal Solutions Class 9 Maths Chapter 18 Mean Median and Mode of Ungrouped Data

RS Aggarwal Solutions Class 9 Maths Chapter 18 Mean Median and Mode of Ungrouped Data – Overview

To cover Chapter 18 of RS Aggarwal Solutions Class 9 Maths, you must cover the following important topics.

• There are mainly 2 types of data, i.e., Primary and secondary.

1. Primary Data: Data was collected after conducting surveys, interviews, and extensive research. These data are first-hand sources.
2. Secondary Data: Data collected by someone other than the user.

• You can present the data in two ways, i.e., ungrouped and grouped.

1. Ungrouped data: Data that is not categorized after the collection is called ungrouped data. Eg:

   The height of 5 students is 158,160,170,166,166. Find the range of the data given.

   Solution:

   Range = Highest number – lowest number = 170-158 = 12

2. Grouped data: Data that is organized in the form of a distribution table is known as Grouped Data. Eg:

Class	Frequency
10-20	7
20-30	10
30-40	12
40-50	14
50-60	16

• The Concept Of Grouped Data

1. Class Intervals: 10-20, 20-30, 30-40, and so on are the class intervals.
2. Lower Limit: It is the smallest number in the class interval. Eg: 10-20, 20 in 20-30.
3. Upper Limit: It is the greatest number in the class interval is called the upper limit. Eg: 20 in 10-20, 30 in 20-30.
4. Class size: The difference between the smallest and the greatest number in the class interval. Eg: Class interval in 19.5 – 9.5 = 19.5 – 9.5 = 10.
5. Classmark: It is the midpoint between the class interval.

   Classmark = Lower limit + Upper limit/2 

• Measures OF Central Tendency

1. Mean: The average of all the observations, denoted by x̄.  

   x̄ = x₁ + x₂ + x₃ +…x_n/n (ungrouped data)

   x̄ = x₁f₁ + x₂f₂ +….x_nf_n/f₁ + f₂ + … + f_n (grouped data).

2. Median: The middlemost value from the given set of observations.

Median = (n+1)/2nd observation value (if n is odd).

Median = n/2^th and (n/2 + 1)^th observation value (if n is even).

3. Mode: The observation that has the maximum frequency.

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