Statistics For Economics Class 11 Sandeep Garg Solutions Chapter 9 -

Can a distribution have two modes? Ans. Yes → bimodal distribution.

Write the empirical formula for mode. Ans. Mode = 3 Median – 2 Mean Can a distribution have two modes

( N = 35 ), ( N/2 = 17.5 ) → Median class = 20-30 ( L = 20, cf = 13, f = 12, h = 10 ) Median = ( 20 + \frac17.5 - 1312 \times 10 = 20 + 3.75 = 23.75 ) Example 3: Mode – Continuous Series | Class | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | |-------|------|-------|-------|-------|-------| | f | 4 | 9 | 15 | 8 | 2 | Write the empirical formula for mode

Modal class = 20-30 (( f_1 = 15 )) ( L = 20, f_0 = 9, f_2 = 8, h = 10 ) Mode = ( 20 + \frac15 - 92\times15 - 9 - 8 \times 10 = 20 + \frac613 \times 10 ) = ( 20 + 4.615 = 24.615 ) 4. Important Short Answer Questions (as per Sandeep Garg) Q1. When is median preferred over mean? Ans. – Open-ended classes, skewed distribution, ordinal data, presence of extreme values. Important Short Answer Questions (as per Sandeep Garg) Q1

What is the median class? Ans. The class where cumulative frequency first exceeds ( N/2 ).