Question

The ages, in years, of 10 randomly selected passengers on a flight from Houston to New Orleans were recorded as follows:
{23, 48, 52, 34, 22, 53, 19, 23, 32, 27}
Calculate the sample mean age to the nearest integer.

A. 34 years
B.31 years
C. 33 years
D. 333 years Pick our of options A-D

Answer 1

To calculate the sample mean age, we need to sum all the ages and then divide by the number of ages.

The ages are: {23, 48, 52, 34, 22, 53, 19, 23, 32, 27}.

First, we sum the ages:

\[
23 + 48 + 52 + 34 + 22 + 53 + 19 + 23 + 32 + 27 = 359
\]

Next, we divide this sum by the number of passengers (10):

\[
\text{Mean} = \frac{359}{10} = 35.9
\]

When rounding to the nearest integer, we get:

\[
36
\]

However, since 36 is not an option, let's confirm the options again. Based on the provided options A (34 years), B (31 years), C (33 years), D (333 years), none seem to match the calculated mean.

Thus, while the calculated mean age of the passengers is \(36\), none of the options provided are correct as presented.