The mean of a certain number of observations is 35. What is the new value of the mean if each observation is :
(i) increased by 7.
(ii) decreased by 5.
(iii) multiplied by 2.
(iv) divided by 5.
(v) increased by 20%.
(vi) decreased by 30%.

Question

The mean of a certain number of observations is 35. What is the new value of the mean if each observation is :
(i) increased by 7.
(ii) decreased by 5.
(iii) multiplied by 2.
(iv) divided by 5.
(v) increased by 20%.
(vi) decreased by 30%.

KnowledgeBoat · Accepted Answer

(i) If the same number is added to each value in a dataset, the mean will also increase by that same number. Mean of a certain number of observations = 35 When each number is increased by 7. New mean = 35 + 7 = 42 Hence, the mean = 42. (ii) If the same number is subtracted from each value in a dataset, the mean will also decrease by that same number. Mean of a certain number of observations = 35 When each number is decreased by 5. New mean = 35 - 5 = 30 Hence, the mean = 30. (iii) If each value in the dataset is multiplied by the same number, the mean will also be multiplied by that same number. Mean of a certain number of observations = 35 When each number is multiplied by 2. New mean = 35 x 2 = 70 Hence, the mean = 70. (iv) If each value in the dataset is divided by the same number, the mean will also be divided by that same number. Mean of a certain number of observations = 35 When each number is divide by 5. New mean = 35 ÷ 5 = 7 Hence, the mean = 7. (v) If each value in the dataset is increased by 20%, the mean will also increase by 20%. Mean of a certain number of observations = 35 When each number is increased by 20%. New mean = 35 x (100 + 20)% = 35 x = 42 Hence, the mean = 42. (vi) If each value in the dataset is decreased by 30%, the mean will also decrease by 30%. Mean of a certain number of observations = 35 When each number is decreased by 30%. New mean = 35 x (100 - 30)% = 35 x = 24.5 Hence, the mean = 24.5.

Mathematics

The mean of a certain number of observations is 35. What is the new value of the mean if each observation is :
(i) increased by 7.
(ii) decreased by 5.
(iii) multiplied by 2.
(iv) divided by 5.
(v) increased by 20%.
(vi) decreased by 30%.

Statistics

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Mathematics

The mean of a certain number of observations is 35. What is the new value of the mean if each observation is :(i) increased by 7.(ii) decreased by 5.(iii) multiplied by 2.(iv) divided by 5.(v) increased by 20%.(vi) decreased by 30%.

Statistics

Related Questions

Find the mean of :(i) 5, 15, 20, 8 and 12.(ii) 28, 24, 37, 42, 56, 59, 67, 28, 15 and 32.

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The mean of a certain number of observations is 35. What is the new value of the mean if each observation is :
(i) increased by 7.
(ii) decreased by 5.
(iii) multiplied by 2.
(iv) divided by 5.
(v) increased by 20%.
(vi) decreased by 30%.

Find the mean of :
(i) 5, 15, 20, 8 and 12.
(ii) 28, 24, 37, 42, 56, 59, 67, 28, 15 and 32.

(a) Find the mean of the following data :
18, 33, 30, 21 and 13.
Also, find the sum of deviations of this data from the mean.
(b) If 150 is the mean of 200 observations and 100 is the mean of some 300 other observations, find the mean of the combination.

The following data have been arranged in ascending order of magnitude.
63, 66, 69, x, x + 2, 76, 89 and 103.
If the median of the given data is 71, find the value of x.