Question

Mid value of calss 145 - 165 is
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Answer 1

Answer:

Mid-value is the average value of the upper and lower limits of class. Mid-value =(Upper limit + Lower limit)2.

Answer 2

Step-by-step explanation:

Here we are given the mid-values. So, should first find the upper and lower limits of the various classes. The difference between two consecutive values is h=125−115=10. 

∴ Lower limit of a class = Mid-value- h/2, Upper limit = Mid-value + h/2.

Calculation of Median 

Mid-valueClass groupsFrequencyCumulative Frequency115110-12066125120-1302531135130-1404879145140-15072151155150-160116267165160-17060327175170-18038365185180-19022387195190-2003390N=∑fi=390We have,

N=390∴2N=2390=195

The cumulative frequency just greater than N/2 i.e.195 is 267 and the corresponding class is 150−160. So, 150−160 is the median class.

∴l=150,f=116,h=10,F=151

Now, 

Median =l+f2N−F×h

⇒Median=150+116195−151×10=153.80