Which is the correct interpretation of the standard deviation?
The owner of a local movie theater keeps track of the
number of tickets sold in each purchase and makes a
probability distribution based on these records. Let X
represent the number of tickets bought in one
purchase. The distribution for X is given in the table.
1
2
3
4.
5
Number of
Tickets
Probability
O The number of tickets purchased typically varies
from the expected value by 0.95 tickets.
If many, many purchases are made, the expected
number of tickets purchased is 2.1.
O The mean number of tickets purchased typically
varies from the expected value by 0.95 tickets.
The mean number of tickets purchased typically
varies from the expected value by 0.89 tickets.
0.29
0.44
0.19
0.06
0.02