Math, asked by Aross394, 1 month ago

Given data: 100, 90, 100, 80, 90

What is the median of the data?

Answers

Answered by deeptiwari7
0

Answer:

100 is median of data

please mark as brainlest

Answered by mayajakhar79
2

Solution:-

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\large\to{\underbrace{\underline{\sf{Understanding\:the\:concept:-}}}}

\leadstoHere, the question has asked us to find the median of the data that is 100, 90, 100, 80, 90. So, to find the median we will apply the formula of median. Arrange the data in ascending or descending order. There are 5 terms in the data as 5 is an odd number we will apply (n+1)/2th formula.

ANSWER:-

» The median is 90.

GIVEN:-

✪ Data = 100, 90, 100, 80, 90

TO FIND:-

➤ Median of data = ?

FORMULA USED:-

\to{\bf Median = \dfrac{(N + 1)}{2th}}

SOLVING STEP BY STEP:-

✪ Data = 100, 90, 100, 80, 90

⟶ Arrange in ascending = 80, 90, 90, 100, 100

⟶ No. of terms in data = 5 terms

⟶ N = 5

\to{\tt Median = \dfrac{N + 1}{2}th}

\mapsto{\sf Median =\dfrac{5 + 1}{2}th}

\mapsto{\sf Median = \dfrac{6}{2}th}

\mapsto{\sf Median = \dfrac {\not{6}}{ \not{2}}th}

\mapsto{\sf Median = \dfrac{3}{1}th}

\mapsto{\sf Median = 3}

⟶ Median = 3th term

⟶ Median = 90 [As 90 is the 3th term]

Thus, we got the median. The 3th term that is 90 is the median of the data.

KNOW MORE:-

  • The formula used above is used when data is not given in form of a table.
  • The Formula of median when the data is given in tables or frequencies.
  • If n is odd then (n+1)/2th term will be median.
  • If n is even then average of middle two terms which are n/2th term and (n/2)+1th term is median.

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