EXAMPLE 5 Compute the median form the following data:
Mid-alue:
725
145
115
135
155 165
25
6
48 72 116 60
Frequency:
175
38
185
22
195
3
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Step by step explained
Answer:
Median of the data is 157.
Step-by-step explanation:
We are given with Data set of Discrete series.
We have to find the Median Value of given data set.
Step 1: Since the Data set is already in increasing order. We find the cumulative frequency.
Table with cumulative frequency is attached.
Step 2: Now, We find the value of (\frac{N+1}{2})^{th} term.
here, N = 387
So, value of (\frac{387+1}{2})^{th}=(\frac{388}{2})^{th}=194^{th} term
Step 3: Now Median = Value of x for which cf is greater than or equal to (\frac{N+1}{2})^{th} term.
Here,
Median = 194^{th} term = 157
Therefore, Median of the data is 157.
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