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
What is the mode of the given data?
3, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 3, 2What is the mode of the given data?
21, 22, 23, 23, 24, 21, 22, 23, 21, 23, 24, 23, 21, 23A bowler has taken 0, 3, 2, 1, 5, 3, 4, 5, 5, 2, 2, 0, 0, 1 and 2 wickets in 15 consecutive matches. What is the mode of the given data?
The data given below shows the number of people who have saved a certain amount of money.
Saving (In Rs.)
Number of people
5
1
15
3
20
4
25
2
30
1
35
1
40
2
What is the median of the given data?
If the ratio of mean and median of a certain data is 4 : 5, then find the ratio of its mean and mode.
