In: Statistics and Probability
1. How many occurrences are reflected in the class with the least monthly out-of-pocket expenditures ?
2. Compute the average monthly out-of-pocket expenditures for prescription drugs for the sample of senior citizens.
a. |
63 |
|
b. |
101 |
|
c. |
32.31 |
|
d. |
25.20 |
Monthly Expenditures | Frequency |
1-25 | 240 |
26-50 | 165 |
51-75 | 80 |
76-100 | 15 |
101-125 | 5 |
1.
There are 240 occurrences reflected in the class with the least monthly out-of-pocket expenditures(1-25).
2.
The grouped data information provided, with the corresponding frequencies is shown in the table below:
Classes | Frequency (f) |
1-25 | 240 |
26-50 | 165 |
51-75 | 80 |
76-100 | 15 |
101-125 | 5 |
For each of the grouped classes we need to compute the midpoint (M), by calculating the average between the lower and upper value of the class. Then, the following table si obtained:
Classes | M | f | M · f | M2 · f |
1-25 | 13 | 240 | 3120 | 40560 |
26-50 | 38 | 165 | 6270 | 238260 |
51-75 | 63 | 80 | 5040 | 317520 |
76-100 | 88 | 15 | 1320 | 116160 |
101-125 | 113 | 5 | 565 | 63845 |
Sum = | 505 | 16315 | 776345 |
From the table, we compute the sample mean as follows:
OPTION C is correct!
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