There is question in Chapter test on Data Handling (Maths, CBSE, Class VII) :

Find two numbers lying between the mean of 3 and 6 and the mean of 1/2 & 1/5. It should be any number between 0.35 (7/20) & 4.5(9/2)i.e. may be 1 &2. But Meritnation hascomputed mean of 7/20 & 9/2 which is 97/40. Again computed mean of 97/40 & 7/20 which is 111/80. Final answer as per Meritnation is 97/40 & 111/80.
Request to clarify.

Mean of 3 and 6 =

Mean of

Now, we have to find 2 numbers lying between.

We know that the mean of 2 numbers always lies between the two numbers.

So, the value of x = mean of

Thus, we have

Now, to determine the value of y,

Mean of

So, 

Thus, the required two numbers are.

Hope, this clears your doubt.

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