Question

Estimate the mean of the given data using Assumed meant method.

• A. $50$
• B. $49.14$
• C. $51.83$
• D. $61.37$

Answer 1

The correct option is C $51.83$

Answer:- Using Shortcut method

Interval	$x=\frac{U.L.+L.L.}{2}$	Frequency f	d=x-A	fd
22-32	27	12	-30	-360
32-42	37	7	-20	-140
42-52	47	11	-10	-110
52-62	57=A	3	0	0
62-72	67	19	10	190
72-82	77	6	20	120
		$\Sigma f=58$		$\Sigma fd=-300$

Mean = $A+\frac{\Sigma fd}{\Sigma f}=57+\frac{-300}{58}=57-5.17=51.827\simeq 51.83$

C)51.83