If the median and mode of 4 observations is 4, 6 and the sum of squares of observations is 48. Then standard deviation is
Options:
A .  √2
B .  4
C .  √3
D .  √5
Answer: Option C : C Given that median = 4 and mode = 6. We know that Mean - mode = 3 (Mean - Median) Mean - 6 = 3 (Mean - 4) ¯x−6=3¯x−12 ¯x=3 σ2=∑x2in−(∑xin)2=484−(3)2=3∴σ=√3
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