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Zorluk: KolayMeasures of Central Tendency (Mean, Median, Mode)

A software engineer logged the response time, in milliseconds, for seven independent server requests: 88, 1616, 33, 2121, 1414, 55, and 1010. What is the median response time, in milliseconds, for these seven requests?

  1. A
    88
  2. 1010Cevap
  3. C
    1111
  4. D
    1414
  5. E
    2121

Cevap

The median response time is 1010 milliseconds.
To find the median, first order the seven data points in ascending order: 3,5,8,10,14,16,213, 5, 8, 10, 14, 16, 21. Since there are 77 values, the median is the middle value at position 7+12=4\frac{7 + 1}{2} = 4. The fourth value in this ordered list is 1010.

Adım Adım Çözüm

1
Arrange the given dataset in ascending order.
The sorted dataset is 3,5,8,10,14,16,213, 5, 8, 10, 14, 16, 21.
Finding the median of a numerical dataset requires ordering the values from smallest to largest first.
2
Determine the position of the median element.
For n=7n = 7 items, the position is 7+12=4\frac{7 + 1}{2} = 4 th item.
When the number of observations nn is odd, the median is the exact middle value located at position n+12\frac{n+1}{2}.
3
Identify the value at the 4th position.
The 4th value in the sorted list is 1010.
The 4th element in 3,5,8,10,14,16,213, 5, 8, 10, 14, 16, 21 is 1010.

Anahtar Kavram

Median of a finite numerical dataset with an odd count
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