Direction : Study the following table and answer the questions that follow : Number of sanitizers sold by companies A, B, C and D in 2021 and 2022Year →
Company ↓Number of Sanitizers Sold 2021 2022 A 230 240 B 350 380 C 310 390 D 270 310
What is the difference between the average (mean) number of sanitizers sold by the four companies in 2022 and the average (mean) number sold by all the four companies in 2021 ?
40
The mean of four companies is the year’s total divided by 4, so the difference of the two means is the difference of the two totals divided by 4.
Step 1 — 2022 total = \(240 + 380 + 390 + 310 = 1320\), mean = \(\dfrac{1320}{4} = 330\).
Step 2 — 2021 total = \(230 + 350 + 310 + 270 = 1160\), mean = \(\dfrac{1160}{4} = 290\).
Step 3 — Difference = \(330 - 290 = 40\) (check: \(\dfrac{160}{4} = 40\)).
60, 50 and 70 would need the yearly totals to differ by 240, 200 or 280, but the table gives a difference of 160, so they are wrong.
40 option is correct.
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