Question

Consider the following frequency distribution. Class Frequency 2 up to 4 26 4 up to 6 54 6 up to 8 86 8 up to 10 26 a. Calculate the population mean.

Answer 1

Answer:

The population mean is of 6.1667.

Step-by-step explanation:

Total sample size:

26 + 54 + 86 + 26 = 192

Mean:

To the mean is the sum of the midpoint of the class frequencies multiplied by its frequency(mean of 2 to 4 is 3, 4 to 6 is 5 and so on...). So

$M = 3\frac{26}{192} + 5\frac{54}{192} + 7\frac{86}{192} + 9\frac{26}{192} = \frac{3*26 + 5*54 + 7*86 + 9*26}{192} = 6.1667$

The population mean is of 6.1667.