Question

table shows the age, in years, of employees in a company.
Age (a) in years
Frequency
18 < a < 20
20 < a < 22
22 < a < 24
24 < a < 26
26 ≤ a
3
2
7
8
O
a) Find the modal class interval. 24.. 26
b) Work out an estimate of the mean age of these employees.

Answer 1

Considering the given table, we have that:

a) The modal class is 24-26.

b) The estimate of the mean is of 23 years.

What is the modal class of a frequency table?

The modal class of a frequency table is the class that has the most observations. In this problem, the class is of 24-26, as it has 8 observations, being the largest number.

What is the mean of a discrete distribution?

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

From the frequency table, consisting of 20 observations, a discrete distribution can be built, considering the half-way point of each interval. Then:

• P(X = 19) = 3/20 = 0.15.

• P(X = 21) = 2/20 = 0.1.

• P(X = 23) = 7/20 = 0.35.

• P(X = 25) = 8/20 = 0.4.

Then the estimate of the mean is:

E(X) = 0.15 x 19 + 0.1 x 21 + 0.35 x 23 + 0.4 x 25 = 23 years.

More can be learned about the mean of a discrete distribution at https://brainly.com/question/24628525

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