The stock value of four companies change from 2021 to 2022 as shown in the bar graph. Calculate by what percentage the average stock value of the four companies has changed from 2021 to 2022.

122.7%

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123.3%

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120.7%

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121.3%

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Solution

The correct option is A 122.7%
Tabulating the given information, we find:

Company Stock value in the year

2021 2022

A $50 $70

B $60 $40

C $90 $50

D $70 $60

$A v e r a g e s t o c k v a l u e i n 2021 = \frac{$ 50 + $ 60 + $ 90 + $ 70}{4} = $ 67.5$

$A v e r a g e s t o c k v a l u e i n 2022 = \frac{$ 70 + $ 40 + $ 50 + $ 60}{4} = $ 55$

Now, calculating the percentage change in the average from 2021 to 2022, we get:

$\frac{A v e r a g e s t o c k v a l u e i n 2022}{A v e r a g e s t o c k v a l u e i n 2021} \times 100 = \frac{$ 67.5}{$ 55} \times 100 \approx 122.7 %$

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