Question

A clothing company took a random sample of its T-shirt sales and found that 2/5 of the T-shirts sold in the sample were size medium. If the sample is representative of all T-shirts sold by the company, approximately how many of the 25,448 T-shirts sold were medium?

Answer 1

To find out how many medium T-shirts were sold, we can use the proportion of medium T-shirts from the sample, which is \( \frac{2}{5} \).

We set up the calculation as follows:

1. Calculate the fraction of medium T-shirts:
\[
\text{Fraction of medium T-shirts} = \frac{2}{5}
\]

2. Multiply the total number of T-shirts sold by the fraction to find the approximate number of medium T-shirts:
\[
\text{Number of medium T-shirts} = \frac{2}{5} \times 25,448
\]

3. Perform the multiplication:
\[
\frac{2}{5} \times 25,448 = \frac{2 \times 25,448}{5} = \frac{50,896}{5} = 10,179.2
\]

Since we cannot sell a fraction of a T-shirt, we round this number to the nearest whole number. Thus, the approximate number of medium T-shirts sold is:

\[
\text{Number of medium T-shirts} \approx 10,179
\]

Therefore, approximately **10,179** of the T-shirts sold were medium.