Consider the following sample of numbers:
9, 18, 11, 14, 15, 17, 10, 69, 11, 13
The median of the sample is
Median of Sample Numbers
This solution explains how to calculate the median for the given sample of numbers: 9, 18, 11, 14, 15, 17, 10, 69, 11, 13.
Median Steps
To find the median, follow these steps:
- Sort the sample numerically.
- Count the numbers in the sample.
- Calculate the median based on the count.
Sample Data Analysis
Sample Sorting
Arrange the sample in ascending order:
9, 10, 11, 11, 13, 14, 15, 17, 18, 69
Number Count
The sample contains 10 numbers. This is an even count.
Median Calculation
For an even count, the median is the average of the two middle values (the 5th and 6th).
- Middle values: 13 and 14
Median = $ \frac{13 + 14}{2} $
Median = $ \frac{27}{2} $
Median = $ 13.5 $
Median Result
The median of the sample is 13.5.
Important Questions from Elementary Statistics
Demand for seats in a university is at its highest in the fall; demand also trends to grow and fall off in 25 year waves. In time service forecasting, the former demand characteristic would be called ______ and the latter would be called _______.
The system of combining two or more overlapping series of index numbers to obtain a single continuous series is called
The rise in the number of patients due to heatstroke is an example of:
According to government data, 24 percent of teenagers in India under the age of 18 years live in households with incomes that are classified at a particular income level. A simple random sample of 400 teenagers in India under the age of 18 years was selected for a study of learning. If the government data is correct, which of the following best approximates the probability that at least 27 per cent of the teenagers in the sample live in households that are classified at a particular income level?
Which index satisfies the factor reversal test?
