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Question

Difficulty: EasyMean, Median, and Mode

The numbers of packages delivered by a courier on seven consecutive days are listed below:

5,13,2,10,15,7,45, 13, 2, 10, 15, 7, 4

What is the median number of packages delivered per day over this seven-day period?

  1. A
    55
  2. 77Answer
  3. C
    88
  4. D
    1010
  5. E
    1313

Answer

The median number of packages delivered per day is 77.
To find the median of a dataset, the values must first be arranged in ascending order: 2,4,5,7,10,13,152, 4, 5, 7, 10, 13, 15. Since there are 77 numbers, the median is the 44 th number in the ordered list, which is 77.

Step-by-Step Solution

1
Arrange the data values in ascending order.
The ordered set is 2,4,5,7,10,13,152, 4, 5, 7, 10, 13, 15.
Finding the median requires ordering the data sequentially first.
2
Identify the middle term of the ordered set containing 77 values.
The middle term is the 7+12=4\frac{7+1}{2} = 4 th value, which is 77.
For an odd number of data points NN, the median is the N+12\frac{N+1}{2} th element.

Key Concept

Median of a finite data set
Estimated Time:45s
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Topics

Mean, Median, and Mode

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