Question

find the median of the set of numbers 1,2,3,4,5,6 7,8,9 and 10​

Answer 1

Answer:

5.5

Step-by-step explanation:

middle terms=5 and 6

So, median=(5+6)/2=11/2=5.5

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Answer 2

The median of the given set of numbers is 5.5

Given:

The set of numbers: 1,2,3,4,5,6 7,8,9 and 10.

To Find:

The median of the given set of numbers.

Solution:

The median of a given set of data is its middle-most value.

To find the median, we need to first sort the given data in the order of their increasing or decreasing values.

If the number of observations is odd, the middlemost value or the median is the ((n+1)/2)th observation.

If the number of observations is even, the middlemost value or the median is the average of (n/2)th and (n/2 +1)th observation.

We have been given the set of observations: 1,2,3,4,5,6 7,8,9 and 10.

Note that there are a total of 10 observations,

i.e. n = 10.

Here the data is already arranged in ascending order.

Since the number of observations is even, the median is the average of (n/2) th and (n/2 +1)th observation.

Now,

(n/2)th observation = (10/2)th observation = 5th observation = 5

(n/2 + 1)th observation = (10/2 + 1)th observation = 6th observation = 6

The average of 5th and 6th  observations = (5+6)/2 = 11/2 = 5.5.

Hence, the median of the given set of numbers is 5.5.

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