Statistics Questions with Solutions

25 questions11 easy13 medium1 hard

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.

All Questions Easy Medium Hard

Q1.
Consider the following frequency distribution table. Class interval 10-20 20-30 30-40 40-50 50-60 60-70 70-80 Frequency 180 $f_{1}$ 34 180 136 $f_{2}$ 50 If the total frequency is 685 and the median is 42.6, then the values of $f_{1}$ and $f_{2}$ are
A. 80, 25B. 83, 22C. 79, 26D. 82, 23
hardAsked in NIMCET 2023View solution ›