Q10 of 43 Page 293

Select a proper option (a), (b), (c) or (d) from given options and write in the box given on the right so that the statement becomes correct:

For some data, if Z = 25 and = 25, then M =


Given: Z = 25 [Z denotes mode]

[ denotes mean]


We have to find M (that is, median).


By empirical relationship, we can say


Mode = 3 (Median) – 2 (Mean)


⇒


⇒


⇒


Putting in the given values, we can



⇒


⇒


⇒ M = 25


Thus, option (a) is correct.

More from this chapter

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8

Find the median of the following frequency distribution:

























Class



10-20



20-30



30-40



40-50



50-60



60-70



70-80



80-90



Frequency



9



11



15



24



19



9



8



5



 9

The median of the following data is 525. Find the value of x and y, if the sum of frequency is 100.





























Class



0-100



100-200



200-300



300-400



400-500



500-600



600-700



700-800



800-900



900-1000



Frequency



3



4



x



12



17



20



9



y



8



3



 10

Select a proper option (a), (b), (c) or (d) from given options and write in the box given on the right so that the statement becomes correct:

For some data Z — M = 2.5. If the mean of the data is 20, then Z =


 10

Select a proper option (a), (b), (c) or (d) from given options and write in the box given on the right so that the statement becomes correct:

If — Z = 3 and + Z = 45, then M =