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Question

The number of orders received by a food delivery app for 8 consecutive days is as follows.

16, 20, 40, 50, 30, 60, 40, 80.

Find the standard deviation about the mean.


A

19.60

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B

19.73

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C

19.50

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D

19.82

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Solution

The correct option is B

19.73


Let's find the mean first = 16+20+40+50+30+60+40+808

¯x = 42

xi1620404830604080deviation (x¯x)2622261218238square of deviation67648443614432441444

Variance=((X¯x)2N)

σ2=676+484+4+36+144+324+4+14448

=31168=389.5

Standard deviation = σ=8i=1(xi¯x)28
= 389.5 = 19.73

Standard deviation = 19.73


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