Question

The median of the observations 17, 31, 12, 27, 15, 19, 23 is
1) 19
2) 18
3) 17
4) 16
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Answer 1

hlo mate gudmrng. ......

here is ur ans. .........

The median of the observations 17, 31, 12, 27, 15, 19, 23 is

option 2)18 ...

hope this helps u dear .......

have a nice day ahead of u. ........

Answer 2

The median of the observations 17, 31, 12, 27, 15, 19, and 23 is equal to 19.

Step-by-step Explanation:

Given:

Seven observation values: 17, 31, 12, 27, 15, 19, 23

To be found:

To find the median of the given observations.

Formula Used:

• If the total number of observations ($n$) is odd, then the medium of the observations is calculated using the formula, $Median=[\frac{(n+1)}{2}]^{th} term$
• If the total number of observations ($n$) is even, then the median of the observations is calculated using the formula, $Median=\frac{[(\frac{n}{2})^{th} term+(\frac{n}{2} +1)^{th} term]}{2}$

Firstly, rearranging the given observations in ascending order (from smallest to the largest), we get

$12, 15, 17, 19, 23, 27, 31$

Here, there are seven observations given.

So, the total number of observations, $n=7$

Since the total number of observations is odd, we can calculate the median using the formula,

$Median=[\frac{(n+1)}{2}]^{th} term$

Applying values, we get

$Median=[\frac{(7+1)}{2}]^{th} term\\\implies Median=[\frac{8}{2}]^{th} term\\\implies Median=[4]^{th} term$

So, we find that the median is equal to the 4th term of the given observations.

$\implies Median=19$

Therefore, the median of the given observations is equal to option(1) 19.

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