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Following is the pocket allowance of 10 students. Find out arithmetic mean using Short-cut Method. {:("Pocket Allowance(Rs.)",15,20,30,22,25,18,40,50,55,65):} |
Answer» <html><body><p></p>Solution :<img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/TRJ_ECO_XI_C09_S01_002_S01.png" width="80%"/> <br/> The <a href="https://interviewquestions.tuteehub.com/tag/sum-1234400" style="font-weight:bold;" target="_blank" title="Click to know more about SUM">SUM</a> of '+' deviations = + 50 <br/> The sum of '-' deviations = - <a href="https://interviewquestions.tuteehub.com/tag/110-268165" style="font-weight:bold;" target="_blank" title="Click to know more about 110">110</a> <br/> The net sum of deviations, `sum d =-110+ 50 = -60` <br/> Dividing the aggregate of deviations `(sum d)` by the number of<br/> items (N), ` (sum d)/N =(-60)/<a href="https://interviewquestions.tuteehub.com/tag/10-261113" style="font-weight:bold;" target="_blank" title="Click to know more about 10">10</a> = - 6` <br/> Substituting this value of` (sum d)/n`in the following formula: <br/> ` barX = A+(sum d)/N ` <br/> We have, <br/> `barX = <a href="https://interviewquestions.tuteehub.com/tag/40-314386" style="font-weight:bold;" target="_blank" title="Click to know more about 40">40</a> +(-) 6` <br/> =40-6 <br/> =<a href="https://interviewquestions.tuteehub.com/tag/34-308171" style="font-weight:bold;" target="_blank" title="Click to know more about 34">34</a> <br/> Arithmetic Mean = Rs. 34.</body></html> | |