Question

The table shows the age, in years, of employees in a company.

Answer 1

Answer:

a) The modal class for this case represent the class with the highest frequency

And for this case would be $24$ with the highest frequency 8

b) $\bar X = \frac{19*3 + 21*2 + 23*7 +25*8}{3+2+7+8} =23$

Step-by-step explanation:

Part a

The modal class for this case represent the class with the highest frequency

And for this case would be $24$ with the highest frequency 8

Part b

For this case we need to find the mid point of each interval:

Interval   Midpoint  Frequency

18-20          19                 3

20-22         21                 2

22-24         23                 7

24-26         25                 8

And we can find the sample mean with this formula:

$\bar X = \frac{\sum_{i=1}^n f_i x_i}{n}$

And replacing we got:

$\bar X = \frac{19*3 + 21*2 + 23*7 +25*8}{3+2+7+8} =23$