Provide an Appropriate Response $8,9,6,18,11,18$ Compute $\left( \sum x _ { i } \right) ^ { 2 }$

Multiple Choice

Provide an appropriate response.
-The amount of money, in dollars, that an employee of a bank spent on lunch on six randomly selected days yielded the following data set: $8,9,6,18,11,18$
Compute $\left( \sum x _ { i } \right) ^ { 2 }$ and $\sum x _ { i } ^ { 2 }$ . Explain the difference between the two quantities.

A) 70 and $4900 ; \left( \sum x _ { i } \right) ^ { 2 }$ is the sum of the squares of the data, whereas $\sum x _ { i } ^ { 2 }$ represents the square of the sum of the data.
B) 950 and $4900 ; \left( \sum \mathrm { x } _ { \mathrm { i } } \right) ^ { 2 }$ is the sum of the squares of the data, whereas $\sum \mathrm { x } _ { \mathrm { i } } ^ { 2 }$ represents the square of the sum of the data.
C) 4761 and $70 ; \left( \sum x _ { i } \right) ^ { 2 }$ is the square of the sum of the data, whereas $\sum x _ { i } ^ { 2 }$ represents the sum of the squares of the data.
D) 4900 and $950 ; \left( \sum \mathrm { x } _ { \mathrm { i } } \right) ^ { 2 }$ is the square of the sum of the data, whereas $\sum \mathrm { x } ^ { 2 }$ represents the sum of $^ { 2 }$ the squares of the data.