Question

The mean of a certain group of observations is 78.Find the resulting mean,if the value of each observations is -

1.Increased by 30%
2 . Diminished by 25%​

Answer 1

Answer:

23.4

Step-by-step explanation:

value increased by 30%=30/100×78=23.4

value diminished by 25%=25/100×78=19.5

Answer 2

Part (1): The resulting mean will be 101.4 if the value of each observations is increased by 30%.

Part (2): The resulting mean will be 58.5 if the value of each observations is diminished by 25%.

Step-by-step explanation:

Consider the provided information.

Part 1) Increased by 30%.

The mean of a certain group of observations is 78.

If we increase each observations by 30% that resulting means would be:

$\text{New mean} = 78 +\frac{30}{100}\times 78$

$\text{New mean} = 78 +23.4$

$\text{New mean} = 101.4$

The resulting mean will be 101.4 if the value of each observations is increased by 30%.

Part 2) Diminished by 25%​

If we diminished each observations by 25% that resulting means would be:

$\text{New mean} = 78 -\frac{25}{100}\times 78$

$\text{New mean} = 78 -19.5$

$\text{New mean} = 58.5$

The resulting mean will be 58.5 if the value of each observations is diminished by 25%.

#Learn more

The following observation have been arrange in ascending order and their mean is 63 find the value of x : 29, 32, 48, 50, x, x+2, 72, 78, 84, 95

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