Answered: Find the mean, median, and mode for the…

Math

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Find the mean, median, and mode for the following frequency distribution. f 4 6. 6. 2 7 1 8. 8. 10 4 X45

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

I need the mean, mode, and median

Find the mean, median, and mode for the following frequency distribution.
f
4
4
7
1
8.
8.
9
10
4
56

Expert Solution

Step 1

We need to find mean, median and mode for the following data

x	f
4	4
5	9
6	2
7	1
8	8
9	2
10	4

We will use the following formulas

$M e a n = \frac{\sum f x}{n}$

$M e d i a n = \frac{(\frac{n}{2}) t h o b s e r v a t i o n + (\frac{n}{2} + 1) t h o b s e r v a t i o n}{2}$ (as $n = Σ f = 30$ is even)

$M o d e = o b s e r v a t i o n h a v i n g m a x i m u m f r e q u e n c y$

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