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Zorluk: KolayDescriptive Statistics and Data Representations

A track athlete recorded the following times, in seconds, for five 100-meter sprint trials:

12.4, 11.8, 13.1, 12.0, 12.212.4,\ 11.8,\ 13.1,\ 12.0,\ 12.2

What is the median time, in seconds, for these five trials?

  1. A
    1.3
  2. B
    12.0
  3. 12.2Cevap
  4. D
    12.3
  5. E
    13.1

Cevap

The median time for the five trials is 12.2 seconds.
To find the median, first arrange the five times in ascending order: 11.8, 12.0, 12.2, 12.4, and 13.1. Since there are 5 values, the median is the middle (3rd) value, which is 12.2.

Adım Adım Çözüm

1
Order the data set in ascending numerical order.
11.8,12.0,12.2,12.4,13.111.8, 12.0, 12.2, 12.4, 13.1
The median is defined as the middle value of an ordered data set.
2
Identify the middle (third) position in the 5-item ordered list.
The third value is 12.212.2.
For an odd number of data points (n=5n = 5), the median is the value at position n+12=3\frac{n+1}{2} = 3.

Anahtar Kavram

Calculating the median of a finite data set
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Konular

Descriptive Statistics and Data Representations

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