The variance of the first n natural numbers is

In investing, variance is used to compare the relative performance of each asset in a portfolio. Last updated on Dec 20,

The variance of first n natural numbers is. Find the variance of first n natural numbers. The variance of first 10 natural numbers is-. The variance of the first n natural numbers is. The variance of the first n natural number is.

The variance of the first n natural numbers is

Given an integer N , the task is to find the variance of the first N natural numbers. Variance is used to determine how far the data is spread from their average value. It is generally represented by symbol? Input: 4 Output: 1. Naive approach: The simple approach to solve this problem is to first calculate the Mean value of the first N natural numbers and then, traverse over the range [1, N] and calculate the variance. Efficient solution: The above solution can be optimized by simplifying the above-mentioned formulas of Mean and Variance and using the properties of sum of the first N natural number and the sum of the squares of the first N natural numbers , as shown below. Skip to content. Change Language. Open In App. Related Articles. Solve Coding Problems.

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In addition, we will also assume the following property of the natural numbers. To paraphrase the previous property, every nonempty subset of positive integers has a smallest element. The principle of mathematical induction is a useful tool for proving facts about sequences. Suppose the following conditions hold:. Suppose conditions a and b hold.

The variance of the first n natural numbers is

Given an integer N , the task is to find the variance of the first N natural numbers. Variance is used to determine how far the data is spread from their average value. It is generally represented by symbol? Input: 4 Output: 1.

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Naive approach: The simple approach to solve this problem is to first calculate the Mean value of the first N natural numbers and then, traverse over the range [1, N] and calculate the variance. Assam TET. Syndicate Bank PO. WB Municipal Service Commission. Delhi Police Head Constable. Admission Experiences. Rajasthan Gram Sevak. Explore offer now. SET Exam. Variance measures variability from the average or mean. DDA Patwari.

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Punjab Pre-Primary Teacher. Army Havildar SAC. ISRO Technician. Assam Rifles Tradesman. Indian Air Force Group C. Chandigarh Police Constable. If the ratio of mean and median of a distribution is 2 : 3 then the ratio of mode and mean is. Indian Airforce Agniveer. If the mean is 6. Maharashtra Arogya Vibhag Group D.