Mathematics: I need help asap I will need help finding a and b

it the way he sell the flowers and rate...

I need help asap I will need help finding a and

natpiink

20.03.2021

(a) s = 2.56

(b) s = 1.71

Step-by-step explanation:

Given

Tables (a) and (b)

Required

Determine the standard deviation

For (a):

$\bar x = 11.5$ --- mean

The standard deviation is calculated as:

$s = \sqrt{\sum np(1-p)}$

This gives:

$s = \sqrt{5*0.1*(1-0.1) +10 * 0.5 * (1 - 0.5) + 15 *0.4*(1-0.4) }$

$s = \sqrt{5*0.1*0.9 +10 * 0.5 * 0.5 + 15 *0.4*0.6 }$

$s = \sqrt{6.55}$

s = 2.56

For (b):

$\bar x = 4.4$ --- mean

The standard deviation is calculated as:

$s = \sqrt{\sum np(1-p)}$

This gives:

$s = \sqrt{1*0.2*(1-0.2) +3 * 0.3 * (1 - 0.3) + 5 *0.1*(1-0.1) + 7*0.4*(1-0.4)}$

$s = \sqrt{1*0.2*0.8 +3 * 0.3 * 0.7 + 5 *0.1*0.9 + 7*0.4*0.6}$

$s = \sqrt{2.92}$

s = 1.71

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