Question

1. - / 1 points

explain what is wrong, if anything, with the given statements. explain your reasoning.
for the data 5, 7, 10, 10, and 15, the mean is
\\(\frac{5 + 7 + 10 + 10 + 15}{5} \approx 9.4\\).
the median is \\(\frac{7 + 10}{2} \approx \frac{17}{2}\\), and the mode is 10.
\\(\bigcirc\\) the given statements are true.
\\(\bigcirc\\) false; the mean is 9.2.
\\(\bigcirc\\) false; the median is 10.
\\(\bigcirc\\) false; there is no mode.

Explanation:

Step1: Check Mean Calculation

Sum the data: \(5 + 7 + 10 + 10 + 15 = 47\). Divide by \(5\): \(\frac{47}{5}=9.4\), so mean is correct.

Step2: Check Median Calculation

Order data: \(5, 7, 10, 10, 15\). Middle value (3rd) is \(10\), not average of \(7\) and \(10\). So median calculation is wrong.

Step3: Check Mode

Mode is most frequent value, \(10\) appears twice, others once. Mode is correct.

Answer:

False; the median is 10.