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What will be the average of even numbers between 11 to 63. (Firstno lastno )/2= 12+ 62/2=37 But i saw a formulae in iaf book that the average of consecutive even number upto n =n +1/2 but putting this i m not getting the answer so confused?
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What will be the average of even numbers between 11 to 63. (Firstno la...
The formula says the total sum starting from 0 not by a specific one so you failed
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What will be the average of even numbers between 11 to 63. (Firstno la...
Calculating the average of even numbers between 11 to 63:

To find the average of a set of numbers, you need to sum all the numbers together and then divide by the count of numbers in the set. In this case, we are looking for the average of even numbers between 11 and 63.

Finding the count of even numbers:
To determine the count of even numbers between 11 and 63, we can observe that the first even number in this range is 12 and the last even number is 62. So, there are (62 - 12)/2 + 1 = 51 even numbers.

Summing the even numbers:
To calculate the sum of even numbers, we can use the formula for the sum of an arithmetic series, which is Sn = (n/2)(a + l), where Sn is the sum, n is the number of terms, a is the first term, and l is the last term.

In this case, the first term is 12 and the last term is 62. So, the sum of the even numbers is (51/2)(12 + 62) = 51 * 74 = 3774.

Calculating the average:
To find the average, we divide the sum of the even numbers by the count of even numbers:

Average = Sum / Count = 3774 / 51 = 74.

Therefore, the average of even numbers between 11 and 63 is 74.

Explanation of the formula in the IAF book:
The formula mentioned in the IAF book, which states that the average of consecutive even numbers up to n is n/2, is applicable when you have a consecutive sequence of even numbers starting from 2. In that case, the count of even numbers would be n/2, and the sum of the even numbers would be (n/2)(2 + n).

However, in the given problem, we have a range of even numbers between 11 and 63, which is not a consecutive sequence starting from 2. Therefore, we cannot apply the formula directly in this scenario.

It's important to understand the context and conditions under which a formula can be used, as different situations may require different approaches. In this case, finding the count and sum of the even numbers between 11 and 63 and then calculating the average using those values gives us the correct result.
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Directions: Read the following passage and answer the question.The southwest monsoon 2020 has officially drawn to an end with the India Meteorological Department (I.M.D.) declaring a withdrawal of the associated winds and rainfall pattern from India on Wednesday. The over 8% surplus this year has surpassed the I.M.D.'s estimates. For the first time since 2010 , India got more than 100% of its long period average (L.P.A.) of 8 cm in consecutive years. Last year the country saw record rainfall of 110% of the L.P.A., the highest in a quarter-century. India has never got over 105% of the L.P.A. in consecutive years in at least 30 years, according to records available since 1988 on the I.M.D. website. Meteorologists often speak of two or three decades 'epochs' of rainfall variation. Since 2000 , India was in a low patch with several drought years and had barely a handful of above normal or excess rainfall. In that light, the two years of a munificent monsoon could signal a possible return to a rainy epoch. While it could mean more rain, it also implies floods, overflowing dams, landslides and loss of lives.Moreover, surplus rains are not evenly distributed in time and space. Therefore, much like there are attempts to improve flood forecast warnings - especially the short-term ones - there ought to be commensurate efforts by authorities and infrastructure agencies to prepare for the environmental and ecological impact of excess rain. This year the I.M.D. undertook a long-due revision of the onset and withdrawal dates of the monsoon in India. By this reckoning, the monsoon's normal withdrawal date was October 15. Historically, this has always been a statistical average and the actual withdrawal is usually within a few days of this. However, this year the withdrawal has been extremely delayed. Factoring in these changes must become a key part of a State and city's disaster management preparedness.Q. "India has never got over 1055% of the LPA in consecutive years in at least 30 30 years", what does LPA stand for?

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What will be the average of even numbers between 11 to 63. (Firstno lastno )/2= 12+ 62/2=37 But i saw a formulae in iaf book that the average of consecutive even number upto n =n +1/2 but putting this i m not getting the answer so confused?
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