Question

Difficulty: EasyData Distributions and Measures

A customer service representative recorded the call durations, in minutes, for 55 phone calls on a Tuesday morning. The call durations are 11, 22, 33, 55, and 99 minutes. What is the mean duration, in minutes, of these 55 phone calls?

  1. A
    33
  2. 44Answer
  3. C
    55
  4. D
    88

Answer

The correct answer is 44 minutes, which represents the mean duration of the phone calls.
The mean duration of the calls is found by dividing the sum of the durations by the total number of calls. The sum of the durations is 1+2+3+5+9=201 + 2 + 3 + 5 + 9 = 20 minutes. Dividing this sum by the 55 calls yields 20÷5=420 \div 5 = 4 minutes.

Step-by-Step Solution

1
Calculate the sum of all the call durations.
Sum = 1+2+3+5+9=201 + 2 + 3 + 5 + 9 = 20
To find the mean, the sum of all values in the dataset must first be calculated.
2
Divide the sum by the total number of call durations.
20÷5=420 \div 5 = 4
The mean is found by dividing the sum of the values by the number of values in the dataset, which is 55.

Key Concept

Calculating the mean (average) of a data set by dividing the sum of all values by the count of values.
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