NIMCET 2026
The distances in metres for seven throws of a shot-putter are: 14.5, 15.2, 16.8, 17.1, 15.9, 16.3, 14.7. Calculate the sample mean and sample standard deviation. Round to two decimals.
Answer (Detailed Solution Below)View answer ▾Hide ▴
Answer: Option A — 15.79, 1.02
Detailed Solution
Sum , so mean
Deviations from 15.7857:
Sum of squared deviations
Sample SD uses :
⚠ Common trap
Dividing by gives (population SD), which is not the sample SD.Quick tip
Sample SD
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Statistics — Preparation
This question tests your understanding of Statistics, a key topic in the Quantitative Aptitude section. The detailed solution above uses a step-by-step approach to show the reasoning, and where available, a shortcut that helps you solve similar questions in under 90 seconds during the actual exam.
Statistics deals with collecting, summarising and interpreting data. This topic covers measures of central tendency (mean, median and mode) for ungrouped and grouped data, and measures of dispersion such as range, mean deviation, variance, standard deviation and the coefficient of variation. Exam questions test calculating these measures, the effect of adding or multiplying every observation by a constant, combined mean and variance of two groups, and comparing the consistency of two data sets. Remember that adding a constant to every value changes the mean but not the variance or standard deviation, while multiplying by k multiplies the standard deviation by |k|. Facts like these solve many questions without any calculation. Practise the statistics questions below, each with a step-by-step solution.