Statistics Word Problem Example-1

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Home > Word Problems calculators > Statistics Word Problem Word Problems example

Statistics Word Problem examples ( Enter your problem )

( Enter your problem )

2. HCF-LCM Word Problem
(Next method)

1. Example-1

Problem : 1 / 6 [ Statistics Wording Problem ] Enter your problem 1. The mean of 10 observations is 12.5 . While calculating the mean one observation was by mistake taken as -8 instead of +8 . Find the correct mean.


Solution:	Here Mean X `= 12.5` and `n = 10` `Sigma(X) = ` X ` × n = 12.5 × 10 = 125` `:.` the correct sum `Sigma(X) = 125` - (Wrong Observation) + (Correct Observation) = 125 - ( -8 ) + ( 8 ) = 141. `:. "correct mean" = "correct sum" / n = 141 / 10 = 14.1`.

Problem : 2 / 6 [ Statistics Wording Problem ] Enter your problem 2. The mean of 10 observations is 35 . While calculating the mean two observations were by mistake taken as 35 instead of 25 and 30 instead of 45 . Find the correct mean.


Solution:	Here Mean X `= 35` and `n = 10` `Sigma X =` X `× n = 35 × 10 = 350` `:.` the correct sum `Sigma X = 350 - 35 + 25 - 30 + 45 = 355`. `:.` `text{correct mean} = text{correct sum}/n = 355/10 = 35.5` .

Problem : 3 / 6 [ Statistics Wording Problem ] Enter your problem 3. The mean of 15 observations is 16.4 . If we remove one observation from it then the mean of remaining observations is 17 , then find out the removed observation ?


Solution:	Here Mean X `= 16.4` and `n = 15` `Sigma X =` X `× n = 16.4 × 15 = 246` After removing one observation, the mean of remaining observations is `17` `:.` the correct sum `Sigma X = 17 × 14 = 238`. `:.` the removed observation `= 246 - 238 = 8`.

Problem : 4 / 6 [ Statistics Wording Problem ] Enter your problem 4. The sum of 15 observation is 343 . If we remove two observation 18 and 26 , then find out the mean of remaining observations.


Solution:	Here `Sigma(X) = 343` and `n = 15` If we remove two observation then `13` observation left. Sum of `13` observation `Sigma(X') = 343 - (18 + 26 ) = 351` Then the mean of remaining `13` observations = `(Sigma X') / n = 351/13 = 27` .

Problem : 5 / 6 [ Statistics Wording Problem ] Enter your problem 5. The mean of 5 observations is 20 . If we add one new observation then the new mean of the observations is 25 . So find out new added observation.


Solution:	Here `n = 5`, Mean X `= 20` The sum of `5` observation is = X × n `= 20 × 5 = 100` After adding one new observation, the new Mean X `= 25`, the sum of `6` observation = new X × n `= 25 × 6 = 150` `:.` the new observation `= 150 - 100 = 50`.

Problem : 6 / 6 [ Statistics Wording Problem ] Enter your problem 6. The mean of observation is 10 . If we add 2 and then multiply or divide by 3 in each observation, then find the new mean ?


Solution:	Here Mean X `= 10` Now if we add `2` and then multiply by `3` in each observation, then mean gets increased by `2` and then multiplied by `3`. `:.` new mean `= (10 + 2) × 3 = 36`.