Math, asked by shaurya7253, 5 months ago

Formula of mode, mean and median​

Answers

Answered by Anonymous
1

Answer:

Mode = Most frequent value

Median = Middle most observation in ascending or descending order

Mean = Sum of observations/ No. of observations

Answered by Anonymous
2

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Formula:

Mode:

The number ( variable ) which appears maximum number of times in a given statistical data is called the mode. Hence mode is that observation or item which has the maximum frequency.

No particular formula. Here you have just have to see the number which comes maximum time in the given data.

Mean:

The Arithmetic average of the number of observations of items is called mean.

If there are n observations or items  \sf x_1, \: x_2, \: x_3, \: x_4, \: x_5, \: ......., \:  x_n, then

 \sf{ \large{ Mean =  \dfrac{Sum \: of \: all \: observations \: or \: items }{Total \: number \: of \: observations \: or \: items} }}

 \sf =  \dfrac{x_1 + x_2 + x_3 +   x_4 + x_5 + ..... + x_n}{n}

 \sf =   \dfrac{\Sigma x_i}{n}

Greek letter Σ represents total sum of all the observations.

Median:

The median is the value of its middle term.

For finding mean:

( i ) Arrange the given data in ascending or descending order of their magnitude.

( ii ) Count the total number of observations (n) in the given data.

( iii )

⤀ If n is odd,

 \sf median ={ { \huge(} \dfrac{n + 1}{2}{ \huge)}}^{th}  term

⤀ If n is even,

 \sf median =  \dfrac{1}{2} [value \: of \:  { \huge(}{\dfrac{n}{2}{ \huge)}}^{th} term + value \: of \: { \huge(} {\dfrac{n}{2}  + 1{ \huge)}}^{th} term]

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