The average of 25 observations is 11. An observation is removed due to which average decreases by 0.4 units. What is the value of observation that is removed?
Answer
Correct Answer : b ) 20.6
Explanation :Quick Approach
Observation removed = New average + Number of observations × (New Average – Original average)
⇒ Observation removed = (11 – 0.4) + 25 × 0.4
⇒ Observation removed = 10.6 + 10 = 20.6
Hence, (b) is the correct answer.
Basic Approach
The average of 25 observations is 11
Sum of all the observations = 25 * 11 = 275
Let the value of observation which is removed is x
According to the question,
The average is decreased by 0.4
New average = 11 – 0.4 = 10.6
New sum of observations = 24 * 10.6 = 254.4
Now, according to the question
275 – x = 254.4
x = 20.6
Hence, (b) is the correct answer.
Such type of question is asked in various government exams like SSC CGL, SSC MTS, SSC CPO, SSC CHSL, RRB JE, RRB NTPC, RRB GROUP D, RRB OFFICER SCALE-I, IBPS PO, IBPS SO, RRB Office Assistant, IBPS Clerk, RBI Assistant, IBPS RRB OFFICER SCALE 2&3, UPSC CDS etc.
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Word Of The Day
Indigenous
Originating in a particular country or region.
Native to a particular country or region.
Produced, Grown, Developed or occurring naturally in a region.
If we refer to something or someone as indigenous, it means that those things belong to the country in which they are found instead of being imported or brought from an external country.
"We went to the farm and saw many indigenous varieties of Apple."
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