A National Study Found That the Average Family Spent $\$ 422$

Multiple Choice

A national study found that the average family spent $\$ 422$ a month on groceries, with a standard deviation of $\$ 84$ . The average amount spent on housing (rent or mortgage) was, $\$ 1120$ a month, with standard deviation $\$ 212$ . The expected total a family spends on food and housing is $422 + 1120$ $= \$ 1542$ . What is the standard deviation of the total?

A) $228
B) $295
C) $128
D) $148
E) cannot be determined