Answer :

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

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