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
What is mean deviation about the median ?
The mode and median of a data is 26.7 and 71, respectively. What is the mean of the data? (Use empirical formula.)
Study the given table and answer the question that follows. The given table depicts the percentage of marks scored by Mary and Perul in History and Physics (out of 75 each).
Name History Physics Mary
60
64
Perul
54
70
How many marks did Mary score in History?
The average of eight numbers is 14. The average of six of these numbers is 16. The average of the remaining two numbers is:
The value of
(1 + cot²θ)(1 + cosθ)(1 - cosθ) - (1 - sinθ)(1 + sinθ)(1 + tan²θ) is: (θ lies in the first quadrant)
