Question

The values of an observations are between 50 and 75. Then the average of the observations
can be​

Answer 1

Given : values of an observations  are between 50 and 75

To Find : average of the observations  can be

45

80

65

90​

Solution:

values of an observations  are between 50 and 75

Let say xi are the observations

50  < xi   <  75

Average =  ∑ xi / n

50  < xi   <  75

There are n observations

Hence

50n   <  ∑ xi   < 75n

Average =  ∑ xi / n

50n/n   <  ∑ xi/n   < 75n/n

=> 50  <  ∑ xi /n   < 75

=> 50  <  average   < 75

in given options only 65 is between  50 and 75

Hence  the average of the observations  can be 65

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