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The London School of Economics and the Harvard Business School have conducted studies of how chief executive officers (CEOs) spend their time. These studies have found that CEOs spend many hours per week in meetings that include conference calls, business meals, and public events. Suppose that the data below show the time spent per week in meetings (hours) for a sample of 25 CEOs.
14 15 18 23 15
19 20 13 15 23
23 21 15 20 21
16 15 18 18 19
19 22 23 21 12
a. What is the least amount of time spent per week on meetings? The highest?
b. Use a class width of two hours to prepare a frequency distribution, a relative frequency distribution, for the data.

Respuesta :

Answer:

(a) The least amount of time spent per week on meetings is, 12 hours.

The highest amount of time spent per week on meetings is, 23 hours.

(b) Shown below.

Step-by-step explanation:

(a)

Arrange the data in ascending order.

S = {12 , 13 , 14 , 15 , 15 , 15 , 15 , 15 , 16 , 18 , 18 , 18 , 19 , 19 , 19 , 20 , 20 , 21 , 21 , 21 , 22 , 23 , 23 , 23 , 23}

The least amount of time spent per week on meetings is, 12 hours.

The highest amount of time spent per week on meetings is, 23 hours.

(b)

The frequency distribution table with the relative frequency distribution is as follows:

Class Interval   Frequency        Relative Frequency

    12 - 14                         3                            0.12

    15 - 17                         6                            0.24

    18 - 20                 8                            0.32

    21 - 23                 8                            0.32

     Total                        25                             1.00