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 =
5475Step 2: Divide by
5.
5475 /
5 =
1095Since
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
11001095 is
-5 from
11001098 is
-2 from
11001100 is
0 from
11001126 is
+26 from
1100Sum of differences:
-44 + (
-5) + (
-2) +
0 +
26 =
-25Average of differences:
-25 /
5 =
-5Therefore 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