High School

Estimate the following using clustering:

[tex]\[21.8 + 20.1 + 19.5 + 19.2 + 19.1\][/tex]

A. 100
B. 99.7
C. 95
D. 20

Answer :

To estimate the sum of the numbers [tex]\(21.8 + 20.1 + 19.5 + 19.2 + 19.1\)[/tex] using clustering, you can follow these steps:

1. Identify a Common Cluster Value:
- Look at the numbers given and notice that they are all close to the value 20. So, you can choose 20 as a convenient cluster value for estimation.

2. Count the Numbers:
- There are 5 numbers in the list: 21.8, 20.1, 19.5, 19.2, and 19.1.

3. Estimate the Total:
- Multiply the cluster value (20) by the number of values (5) to get an estimated sum:
[tex]\[
\text{Estimated Sum} = 20 \times 5 = 100
\][/tex]

So, the estimated sum using clustering is [tex]\(100\)[/tex].