Join 60,000+ competitive exam aspirants
or with email
Your Cart
SubtotalтВ╣0
TotalтВ╣0
Examoogle тАв User тАв info@examoogle.com тАв EE-2024-8821
Chapter 1 of 12 тАв Page 1 of 248ЁЯФТ Protected PDF тАв Watermarked
Join 60,000+ competitive exam aspirants
Find the median of the following data set: 12, 45, 23, 12, 67, 34, 89, 21, 56, 33.
33
33.5
34
32.5
33.5
Arrange only the middle values mentally by ignoring the extremes (smallest and largest) progressively until you reach the center two numbers.
A data set of 10 observations: 12, 45, 23, 12, 67, 34, 89, 21, 56, 33.
Median=(2(2nтАЛ)thterm+(2nтАЛ+1)thtermтАЛ)
Arrange only the middle values mentally by ignoring the extremes (smallest and largest) progressively until you reach the center two numbers.
Students often forget to arrange the numbers in ascending order before picking the middle value, leading to incorrect results.
Sort the data
Arrange the 10 given values in ascending order: 12, 12, 21, 23, 33, 34, 45, 56, 67, 89.
12,12,21,23,33,34,45,56,67,89
Identify number of terms
Count the total number of observations, which is n=10 (an even number).
n=10
Apply Median formula
For an even number of observations, the median is the average of the 5th and 6th terms.
Median=233+34тАЛ
Calculate final result
Summing the two middle terms 33+34=67 and dividing by 2 gives the result.
Median=33.5
B is correct because the average of the 5th and 6th terms (33 and 34) in the sorted data set is 33.5.
Understanding central tendency is vital for solving Data Interpretation questions in RRB exams where mean, median, and mode are frequently asked.
Get instant step-by-step AI explanations, full shift Previous Year Papers (SSC GD, RRB, SSC JE), and regional rank analysis on the official Examoogle App.
Free Download тАв 100K+ Aspirants