The median for the given numbers is 21, 22, 26, 27, 28, 26
Understanding Median Calculation
The question asks us to find the median for the given set of numbers: 21, 22, 26, 27, 28, 26.
The median is the middle value in a data set that is listed in order. If there is an even number of observations, the median is the average of the two middle values.
Step-by-Step Median Calculation
- Order the Numbers: First, arrange the given numbers in ascending order. The numbers are: 21, 22, 26, 27, 28, 26. Arranged in order: 21, 22, 26, 26, 27, 28.
- Identify the Middle Value(s): Count the total number of values in the set. There are 6 numbers, which is an even count. For an even number of values, the median is the average of the two middle numbers. The two middle numbers are the 3rd and 4th values in the ordered list. Middle Numbers: 26 (3rd) and 26 (4th).
- Calculate the Average (if needed): Since we have two middle numbers (26 and 26), we need to calculate their average. The formula for the average of two numbers $a$ and $b$ is $\\frac{a + b}{2}$. Average = $ \\frac{26 + 26}{2} $ Average = $ \\frac{52}{2} $ Average = 26
Conclusion on Median Value
The calculated median for the given data set (21, 22, 26, 27, 28, 26) is 26.
Important Questions from Measures of Central Tendency
A random sample of 20 people is classified in the following table according to their ages:
Age
Frequency
15 – 25
2
25 – 35
4
35 – 45
6
45 – 55
5
55 - 65
3
What is the mean age of this group of people?
The median of the following observations 46, 64, 87, 41, 58, 77, 35, 90, 55, 92, 33 is 58. If 92 is replaced by 99 and 41 by 43 in the above data. The new median is:
If the difference of mode and median is 36, then the difference of median and mean is:
In a Mathematics test 15 students scored 80 marks, 20 students scored 75 marks, 28 students scored 65 marks and 25 students scored 60 marks, mode of the score is:
If the mode of the scores 10, 12, 13, 15, 15, 13, 12, 10, x is 15, then what is the value of x?
