Question:medium

The number of wedding cards, in thousands, distributed in a certain city on each day for a week is given as follows:-
21, 35, 19, 27, 32, 22, 12.
The three days moving averages will be:

Show Hint

Average each group of 3 consecutive values, sliding one day at a time. There will be 5 averages.
Updated On: Oct 1, 2026
  • 25, 28, 26, 23, 21
  • 25, 24, 23, 27, 26
  • 25, 27, 26, 27, 22
  • 24, 28, 26, 22, 25
Show Solution

The Correct Option is C

Solution and Explanation

Step 1: Idea:
Use three-day totals first, then divide by 3. Each new total is the old total minus the value that leaves, plus the value that enters.

Step 2: First total.
$21+35+19=75$.

Step 3: Slide the window.
Drop 21 and add 27: $75-21+27=81$. Drop 35 and add 32: $81-35+32=78$. Drop 19 and add 22: $78-19+22=81$. Drop 27 and add 12: $81-27+12=66$.

Step 4: Divide each total by 3.
\[ \frac{75}{3}=25,\ \frac{81}{3}=27,\ \frac{78}{3}=26,\ \frac{81}{3}=27,\ \frac{66}{3}=22 \]

Step 5: Match.
The list 25, 27, 26, 27, 22 is option 3. The other options have wrong second or first values, so they are rejected.

Final Answer:
The moving averages are 25, 27, 26, 27, 22. \[ \boxed{25,\ 27,\ 26,\ 27,\ 22} \]
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