How to Calculate the Mean, Median, and Mode? Statistics(Central Tendency)
In this article, we will discuss Chapter 14 Statistics- Mean, Median, and Mode out for Class 10 Maths. For online CBSE Class, 10 Maths classes kindly visit our website. www.takshilalearning.com
It is a measure that tells us where the middle of a bunch of data lies.
The 3 most common measures of central tendency are the mean, the median, and the mode.
Let’s take a situation where Mary & Hari got marks for 5 questions. Both of them claim to have performed better. Let’s see who has performed better in the exam.
Mean: Let’s find the average scores.
- Average Score of Mary is (10+8+9+8+7)/5 =8.4
- Average Score of Hari is (4+7+10+10+10)/5 = 8.2
Based on the Mean data, Mary has performed better.
The mean (or average) of a number of observations is the sum of the values of all the observations divided by the total number of observations. It is denoted by ‘x bar’.
All data is given equal importance in Mean, the extreme values are not ignored.
For Ungrouped data,
Median: Let’s arrange their score in ascending order in the blue table. Now we will take the middlemost score. Since we are talking about the central tendency of data, the middlemost score should also reflect the central tendency of data. The middlemost score for May is 8, while that of Hari is 10.
So based on middle score or median data, Hari has performed better.
When the number of observations (n) is odd, the median is the value of the ((n+1)/2) Th observation.
When the number of observations (n) is even, the median is the mean of (n/2) & (n/2 + 1) Th observations.
Median Ignores extreme values &Tells the point from where 50% data is lesser and 50% data is more
Understand and practice Mean, Median, and Mode with animated videos and digital worksheets and games.
Mode: Let’s check the most frequent score. Based on the most often score, 8 is the most often score( 2 times) for Mary & 10 is the most often score ( 3 times) for Hari. Going with the most often score or Mode, Hari has performed better.
The mode is that value of the observation which occurs most frequently, i.e., an observation with the maximum frequency is called the mode. E.g. it can be used to find the which is the most favorite subject of a class.
Numerical: In a mathematics test given to 15 students, following marks are recorded: 41, 39, 48, 52, 46, 62, 54, 40, 96, 52, 98, 40, 42, 52, 60. Find the mean, median and mode of this data.
Mean is average data, the Median is middlemost data & Mode is the most frequent data.
Mean = Sum of all observations/number of observations
= (41+ 39+ 48+ 52+ 46+ 62+ 54+ 40+ 96+ 52+ 98+ 40+ 42+ 52+ 60 ) / 15
To find middlemost data, we have to arrange data in ascending order & then find middlemost.
Data in ascending order: 39, 40, 40, 41, 42, 46, 48, 52, 52, 52, 54, 60, 62, 96, 98.
Middlemost data, in this case, is 52 & thus Median is 52.
Also, we see that the most frequent data is 52 & thus mode is 52.
Watch, understand, and practice concepts of Class 10th Maths with digital learning package of Class 10 Maths.
For NCERT Solutions for Class 10 Science, Maths, and Social Science click on CBSE Class 10th.
Takshila learning offers online/offline and Live classes for Class 6 to 10 for all subjects. After analyzing the student’s strengths and weaknesses customized packages will be designed.
Here at Takshila Learning, we provide Online Tuition Classes from Preschool to Class 12 for all subjects. We provide the best online tuition classes that comprise Animated Video lectures and Live Interactive Classes that will help students to grasp concepts easily.
We also provide Worksheets & Assignments, Doubt sessions, Free Encyclopedia, NCERT Solutions, and Exam Guru to monitor your progress, i.e., subject-wise and topic-wise. So now Enjoy E-Learning with Takshila Learning…
Learning is fun now!
Enroll today & Get Free Demo Class!
Call at 8800999280 / 8800999283 / 8800999284 fill the form for any other details:
0 responses on "How to Calculate Mean, Median, and Mode? Statistics(Central Tendency)"