Question

Match its group with its percentage or mean using the table below.

Answer 1

Answer:

1) $\bar x = 6.2$, 2) $\bar x = 8.75$, 3) $\bar x = 4.5$, 4) $p = 40\,\%$, 5) $p = 60\,\%$, 6) $p = 10\,\%$

Step-by-step explanation:

1) Mean length of all fish in the sample:

$\bar x = \frac{12+5+3+5+8+2+10+9+4+4}{10}$

$\bar x = 6.2$

2) Mean length of adult fish in the sample:

$\bar x = \frac{12+5+8+10}{4}$

$\bar x = 8.75$

3) Mean length of juvenile fish in the sample:

$\bar x = \frac{5+3+2+9+4+4}{6}$

$\bar x = 4.5$

4) Percentage of sample that were adult fish:

$p = \frac{4}{10}\times 100\,\%$

$p = 40\,\%$

5) Percentage of sample that were juvenile fish:

$p = 100\,\% - 40\,\%$

$p = 60\,\%$

6) Percentage of sample that were juveniles over 8 inches long:

$p = \frac{1}{10}\times 100\,\%$

$p = 10\,\%$