Final answer:
The statement is false because the relative frequency for families with 3 people is actually 0.55 (220/400), not 0.44 as stated.
Step-by-step explanation:
The statement in the question indicates that out of 400 employees in a manufacturing company, 220 have exactly 3 people in their family, and the relative frequency for the value 3 is .44. To determine if this is true or false, we need to calculate the relative frequency. Relative frequency is calculated as the frequency (number of occurrences) of a particular value divided by the total number of data points (in this case, the total number of employees).
Relative frequency = Frequency / Total number of data points
Relative frequency for value 3 = 220 / 400 = 0.55
This calculation shows that the relative frequency for families with 3 people is actually 0.55, not 0.44. Therefore, the statement is false.