समांतर माध्य (Arithmetic Mean) सबसे लोकप्रिय औसत है, क्योंकि निम्नलिखित में से कौन से गुण इसमें पाए जाते हैं? (i) यह सभी प्रेक्षणों पर आधारित होता है। (ii) यह चरम मानों (Extreme observations) से सबसे कम प्रभावित होता है। (iii) यह आगे के बीजीय गणितीय उपचार के योग्य होता है। (iv) यह स्पष्ट रूप से परिभाषित होता है। (v) इसमें प्रतिदर्श स्थिरता (Sampling stability) होती है।

Which of the following statements are correct regarding the median as a measure of central tendency? A. The median represents the middle value of a dataset when it is ordered from least to greatest. B. For an even number of observations, the median is calculated as the average of the two middle numbers. C. The median is highly sensitive to extreme statistical outliers, making it more sensitive than the mean. D. For an odd number of observations, the median is determined using the formula X((N+1)/2). Choose the most appropriate answer from the options given below:

Which of the following statements are correct regarding the mean as a measure of central tendency? I. The mean is computed by summing all the values in a dataset and then dividing by the number of values. II. The mean is highly sensitive to extreme statistical outliers, making it most useful when the data distribution has no extreme outliers. III. The mean is less sensitive to outliers than the median. IV. The mean represents the middle value of a data set when it is ordered from least to greatest. Choose the most appropriate answer from the options given below: