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
For a data, if the mean is 28.5 and the median is 32, then the mode using empirical formula is:
41
40
42
39
39
Remember the empirical relation between mean, median, and mode: Mode = 3 Median - 2 Mean. Substitute the values directly to get the answer in seconds.
Mean = 28.5, Median = 32
Mode=3├ЧMedianтИТ2├ЧMean
Remember the empirical relation between mean, median, and mode: Mode = 3 Median - 2 Mean. Substitute the values directly to get the answer in seconds.
Confusing the coefficients of Median (3) and Mean (2) in the empirical relationship formula.
Step 1: Identify given parameters
From the question, we are given the mean and the median of the dataset.
Mean=28.5,Median=32
Step 2: State the empirical formula
The relationship connecting mean, median, and mode for moderately skewed frequency distributions is given by Karl Pearson's empirical formula.
Mode=3├ЧMedianтИТ2├ЧMean
Step 3: Substitute the given values
Substitute Median=32 and Mean=28.5 into the formula.
Mode=3(32)тИТ2(28.5)
Step 4: Calculate the final value
Compute the products: 3├Ч32=96 and 2├Ч28.5=57. Subtract them to get the mode.
Mode=96тИТ57=41
D is correct because applying the empirical formula yields a mode of 41.
In symmetrical distributions, mean, median, and mode are all equal, but for moderately asymmetric data, Karl Pearson's formula provides a reliable estimation.
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