Find the standard deviation of the following data (rounded off to two decimal places).
5, 3, 4, 7
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 1.48
Given 5, 3, 4, 7
mean = (5+ 3 + 4 + 7)/4 = 19/4 = 4.75
standard deviation = √[{(5 - 4.75)2 + (3 - 4.75)2 + (4 - 4.75)2 + (7- 4.75)2}/4]
= √[{0.0625 + 3.0625 + 0.5625 + 5.0625}/4]
= √(8.75/4) = 1.479