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The total number of followers gained by two vloggers Harsh Beniwal and Ashish Chanchlani on 5 platforms are 230 and 240 in a day, with standard deviation of 2.3 and 1.2 respectively. Who is more consistent in performance and by how much variation? 1. Ashish by 2.52. Harsh by 2.53. Ashish by 3.54. Harsh by 3.5 |
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Answer» Correct Answer - Option 2 : Harsh by 2.5 Given: Number of followers gained by Harsh in a day = 230 Number of followers gained by Ashish in a day = 240 Standard Deviation for Harsh = 2.3 Standard Deviation for Ashish = 1.2 Number of platforms = 5 Formula used: Mean = (sum of observations)/(number of observations) Coefficient of variation = (SD/Mean) × 100 where, SD = Standard deviation Calculation: For Harsh, Mean = 230/5 = 46 Coefficient of variation = (2.3/46) × 100 ⇒ Coefficient of variation for Harsh= 1/20 × 100 = 5 For Ashish, Mean = 240/5 = 48 Coefficient of variation = (1.2/48) × 100 ⇒ Coefficient of variation for Ashish = 1/40 × 100 = 2.5 Difference between their coefficient of variation = 5 – 2.5 = 2.5 ∴ Harsh is more consistent and their difference is 2.5 |
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