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9 grade maths

What is the median for the following observations?5,8,6,9,11,4A. 6B. 7C. 8D. None of these

Profile image of Aniket Singh
1 Year agoGrade
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1 Answer

Profile image of Askiitians Tutor Team
1 Year ago

To find the median of the given observations, follow these steps:

Arrange the observations in ascending order:
The given observations are 5, 8, 6, 9, 11, 4.
Sorting them in ascending order gives: 4, 5, 6, 8, 9, 11.

Count the total number of observations:
There are 6 observations in total.

Determine the position of the median:
If the number of observations (n) is even, the median is the average of the two middle values.
In this case, n = 6 (even). The two middle values are the 3rd and 4th terms in the sorted list.

Identify the middle values:
The sorted list is: 4, 5, 6, 8, 9, 11.
The 3rd value is 6, and the 4th value is 8.

Calculate the median:
Median = (3rd value + 4th value) / 2
Median = (6 + 8) / 2 = 14 / 2 = 7.

Verify the answer:
The calculated median is 7.

Answer: B. 7