Question

Find the median of the scores given below:
17, 16, 26, 10, 15, 27,20.

Answer 1

Answer:

median is 26

Step-by-step explanation:

Answer 2

Answer :-

• Median of the given data is 17.

To find :-

• The median of the scores given below.

Step-by-step explanation :-

• Here, some scores have been given to us. We have to find their median.

Here,

• The number of observations is 7, which is odd.

We know that :-

$\underline{ \boxed{\sf Median = \dfrac{n + 1}{2} \: th \: observation, \: if \: n \: is \: odd}}$

Hence,

$\rm Median = \dfrac{7 + 1}{2} \: th \: observation$

Adding 1 to 7,

$\rm Median = \dfrac{8}{2} \: th \: observation$

Dividing 8 by 2,

$\overline{ \boxed{ \rm Median = 4th \: observation}}$

Arranging the data in ascending order,

• 10, 15, 16, 17, 20, 26, 27.

Here, we see that :-

• The 4th observation is 17.

Hence,

• Median = 17.

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Know more :-

What is median of the data?

• When the observations of a data are arranged in ascending order, the middle observation is called median of the data.

Formula for median when the number of observations is even :-

$\sf \dfrac{\frac{n}{2} \: th \: observation + \left(\frac{n}{2} + 1 \right) \: th \: observation}{2}$

Where,

• n is the number of observations.