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The five numbers 1056, 1095, 1098, 1100, and 1126 are represented on 09 Apr 2019, 23:41
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25% (medium)

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80% (01:24) correct 20% (01:17) wrong based on 84 sessions

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The five numbers 1056, 1095, 1098, 1100, and 1126 are represented on a number line by the points A, B, C, D, and E, respectively, as shown in the figure. Which one of the following points represents the average of the five numbers?

(A) Point A
(B) Point B
(C) Point C
(D) Point D
(E) Point E

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2019-04-10_1041.png
2019-04-10_1041.png [ 18.66 KiB | Viewed 3144 times ]

Source: Nova GMAT
Difficulty Level: 600
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B
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The five numbers 1056, 1095, 1098, 1100, and 1126 are represented on 10 Apr 2019, 01:31
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Bunuel

The five numbers 1056, 1095, 1098, 1100, and 1126 are represented on a number line by the points A, B, C, D, and E, respectively, as shown in the figure. Which one of the following points represents the average of the five numbers?

(A) Point A
(B) Point B
(C) Point C
(D) Point D
(E) Point E

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Attachment:
2019-04-10_1041.png
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sum of all no ; 1056, 1095, 1098, 1100, and 1126
divide by 5
IMO 1095 ; B
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The five numbers 1056, 1095, 1098, 1100, and 1126 are represented on 13 Apr 2019, 10:01
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I was prepared to add all the numbers together in this case, and then divide by 5 to get the average. However, after adding only the single digits (which add up to 25), I realized that the answer had to end in 5, which left me with only one option (B). Nothing crazy, but an example of a quick way to save a bit of time come test day.
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The five numbers 1056, 1095, 1098, 1100, and 1126 are represented on 22 Apr 2021, 22:30
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Solution:

Numbers are:1056, 1095, 1098, 1100, 1126

Sum them and divide the sum by 5

=(1056+1095+1098+1100+1126)/5

= 1095 (option b)

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The five numbers 1056, 1095, 1098, 1100, and 1126 are represented on 23 Mar 2026, 16:13
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Hi there,

To find which point represents the average, we simply add all 5 numbers and divide by 5.

Step 1: Add all 5 numbers.
1056 + 1095 + 1098 + 1100 + 1126 = 5475

Step 2: Divide by 5.
5475 / 5 = 1095

Since 1095 corresponds to Point B, that's our answer.

Here's a faster shortcut for problems like this: Pick a "base number" close to the middle, like 1100, and just work with the differences.

1056 is -44 from 1100
1095 is -5 from 1100
1098 is -2 from 1100
1100 is 0 from 1100
1126 is +26 from 1100

Sum of differences: -44 + (-5) + (-2) + 0 + 26 = -25
Average of differences: -25 / 5 = -5

Therefore the actual average = 1100 + (-5) = 1095 = Point B.

Common mistake: Some students might guess Point C or Point D because they "look" like they're in the middle of the number line. But the average is a calculated value — it gets pulled toward whichever side has more extreme values. Here, 1056 is much farther below the cluster than 1126 is above it, so the average gets pulled down to 1095.

Key principle: On average problems, don't eyeball the middle — actually compute the sum and divide.

Answer: B
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