To find the average of the given numbers [tex]\( 101, 15, 62, 84, \)[/tex] and [tex]\( 55 \)[/tex], we need to follow these steps:
1. Sum the numbers:
Add all the given numbers together:
[tex]\[
101 + 15 + 62 + 84 + 55
\][/tex]
2. Calculate the total sum:
Adding these up gives us:
[tex]\[
101 + 15 = 116
\][/tex]
[tex]\[
116 + 62 = 178
\][/tex]
[tex]\[
178 + 84 = 262
\][/tex]
[tex]\[
262 + 55 = 317
\][/tex]
3. Count the numbers:
There are 5 numbers in total.
4. Calculate the average:
To find the average, divide the total sum by the number of values:
[tex]\[
\text{Average} = \frac{\text{Total Sum}}{\text{Number of Values}}
\][/tex]
[tex]\[
\text{Average} = \frac{317}{5}
\][/tex]
5. Perform the division:
Dividing 317 by 5 gives:
[tex]\[
\text{Average} = 63.4
\][/tex]
Therefore, the average of the numbers [tex]\( 101, 15, 62, 84, \)[/tex] and [tex]\( 55 \)[/tex] is [tex]\( 63.4 \)[/tex].
The correct option is:
(B) 63.4
