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? 

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?  Correct Answer <span style=" line-height: 107%; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;">Harsh by 2.5</span>

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 

Related Questions

Five persons Harsh, Ankita, Manya, Khush and Ramya are sitting on the circle and facing inside the circle. How many persons are sitting between Khush and Ankita (counted from left of Khush). I. Manya is sitting immediate right of Harsh. Ankita is not a neighbor of Harsh. II. Khush is sitting second to the right of Harsh.