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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

1 answer

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

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

  1. Calculate the sum of the ages:

\[ 23 + 48 + 52 + 34 + 22 + 53 + 19 + 23 + 32 + 27 = 362 \]

  1. Count the number of passengers:

There are 10 passengers.

  1. Calculate the mean:

\[ \text{Mean} = \frac{\text{Sum of ages}}{\text{Number of passengers}} = \frac{362}{10} = 36.2 \]

  1. Round to the nearest integer:

The mean age rounded to the nearest integer is 36.

Since none of the answer choices (A. 34 years, B. 31 years, C. 33 years, D. 333 years) match 36 years, there seems to be a discrepancy in the options provided.

However, the calculated sample mean age to the nearest integer is indeed 36 years.