Question

If it has an even number of observations, the median is the average of the two middle values. To find the median: 1) Arrange the data values from least to greatest. 2) If necessary, use the locator's formula c = (n + 1)/2 where n is the total number of observations

Answer 1

Answer:

Explanation:

The median refers to the middle data point of an ordered data set at the 50% percentile. If a data set has an odd number of observations, then the median is the middle value. If it has an even number of observations, the median is the average of the two middle values.

\widetilde{x}=\frac{n+1}{2}\textup{ ranked value}

where

n - number of observations

x tilde- symbol for median

To find the median:

1)  Arrange the data values from least to greatest.

2) If necessary, use the locator's formula c = (n + 1)/2 where n is the total number of observations.

3) Look for the value at (n + 1)/2. Use the result in step 2.

   If c contains a fractional half, it means the median is the average of two values. For example, if the location is 3.5, the median is the       average of the 3rd and 4th data points.

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