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- Write average and count.
- Find total = average x count.
- Adjust total if values are added/removed/replaced.
Correct Answer: D
Correct Answer: D
Method / Topic: Average
The answer follows from total divided by number of values.
Short Explanation
Detailed Explanation
Correct Answer: D
Method / Topic: Average
<table cellspacing="0" style="border-collapse:collapse; height:20px; width:85px">
<tbody>
<tr>
<td style="background-color:#c0e6f5; border-bottom:1px solid #44b3e1; border-left:none; border-right:none; border-top:1px solid #44b3e1; height:20px; vertical-align:top; white-space:normal; width:85px"><span style="color:#000000">The original total is 15×28=420. Removing 43 leaves 377. The number of observations becomes 14, so the new average is 377/14, which is approximately 26.93. The exact fractional form is required because the division is not whole. The calculation is checked against the conditions in the
. A useful final check is to substitute the
s involving signs, denominators, amount versus interest, and distance versus speed.</span></td>
</tr>
</tbody>
</table>
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Learn + Solve: Shortcut, Trap & Fast Route Click to view shortcut, steps, and common mistake
Shortcut used, common trap, and the fastest solving route
- Write average and count.
- Find total = average x count.
- Adjust total if values are added/removed/replaced.
The average of 15 observations is 28. If one observation 43 is removed, find the average of the remaining observations.
Explanation
Correct Answer: D
Method / Topic: Average
The answer follows from total divided by number of values.
Short Explanation
Detailed Explanation
Correct Answer: D
Method / Topic: Average
<table cellspacing="0" style="border-collapse:collapse; height:20px; width:85px">
<tbody>
<tr>
<td style="background-color:#c0e6f5; border-bottom:1px solid #44b3e1; border-left:none; border-right:none; border-top:1px solid #44b3e1; height:20px; vertical-align:top; white-space:normal; width:85px"><span style="color:#000000">The original total is 15×28=420. Removing 43 leaves 377. The number of observations becomes 14, so the new average is 377/14, which is approximately 26.93. The exact fractional form is required because the division is not whole. The calculation is checked against the conditions in the
. A useful final check is to substitute the
s involving signs, denominators, amount versus interest, and distance versus speed.</span></td>
</tr>
</tbody>
</table>
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