Question

Find the median
of 1,2,3,4,5,6,7,8,9,10​

Answer 1

Step-by-step explanation:

$we \: know \: that \: median \: formula$

$if \: numbers \: are \: even \: then \: formula \: is$

${ \frac{n}{2} }^{th} term \: and \: { \frac{n + 2}{2} }^{th} \: term$

$if \:total \: numbers \: are \: odd \: then \: formula \: will \: be$

${ \frac{n + 1}{2} }^{th} \: term$

$now \: the \: total \: nubers \: are \: even \: \: \: so$

$\frac{10 }{2} \: and \: \frac{10 + 2}{2}$

${5}^{th} \: and \: {6}^{th}$

$5 \: and \: 6 \: terms \: are \: 5 \: and \: 6$

$the \: average \: of \: 5 \: and \: 6$

$\frac{5 + 6}{2} = \frac{11}{2}$

$\boxed{5.5} \: is \: the \: medan \: of \: the \: data$

$\huge\blue{mark \: me \: as \: a \: brainlist}$

Answer 2

Answer:

Step-by-step explanation:

Concept:

Median:

The midway value in a given set of figures or data is referred to as the median. To get the average value for a given group of integers, three different metrics are employed in mathematics. The terms are median, mode, and mean. The term "measures of central tendency" refers to these three metrics. The mean of the provided data provides the average value. A median identifies the midpoint of the provided data. The given data's repeated value is determined by mode.

Given:

The numbers $1,2,3,4,5,6,7,8,9,10$.

Find:

To find the median of $1,2,3,4,5,6,7,8,9,10$.

Solution:

Here we have to find the median of the first $10$ numbers.

We know that the first $10$  numbers starting from $1$are

$1, 2, 3, 4, 5, 6, 7, 8, 9, 10.$

Here we can see that there are $10$ numbers given

⇒ $n = 10$

Where the number of terms is in even.

We know that the formula to find the value of median whose $n$ value is given,

⇒ $Median = (n/2 + 1 )th term + (n/2)th term / 2$

We can now substitute the value of n in the above formula, we get

⇒ $Median = (10/2+1) + (10/2) /2$

We can now simplify the above step, we get

⇒ $Median = 6+5/2 = 11/2$

We can now divide the above fraction, we get

⇒ $Median = 11/5 = 5.5$

Hence the median of $1,2,3,4,5,6,7,8,9,10$ is $5.5$

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