Q2 of 174 Page 590

Find the median of

(i) 17, 19, 32, 10, 22, 21, 9, 35


(ii) 72, 63, 29, 51, 35, 60, 55, 91, 85, 82


(iii) 10, 75, 3, 15, 9, 47, 12, 48, 4, 81, 17, 27

(i) By arranging the data in ascending order


9, 10, 17, 19, 21, 22, 32, 35


We have;


N = 8 (even number)


Median =




Median = 20


(ii) By arranging the data in ascending order


29, 35, 51, 55, 60, 63, 72, 82, 85, 91


We have;


N = 10 (even number)


Median =




Median = 61.5


(iii) By arranging the data in ascending order


3, 4, 9, 10, 12, 15, 17, 27, 47, 48, 75, 81


We have;


N = 12 (even number)


Median =




Median = 16


More from this chapter

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12

The table given below gives the distribution of villages and their heights from the sea level in a certain region.





















Height (in meters)



200



600



1000



1400



1800



2200



No. of villages



142



265



560



271



89



16



Compute the mean height, using the step-deviation method.

 1

Find the median of

(i) 2, 10, 9, 9, 5, 2, 3, 7, 11


(ii) 15, 6, 16, 8, 22, 21, 9, 18, 25


(iii) 20, 13, 18, 25, 6, 15, 21, 9, 16, 8, 22


(iv) 7, 4, 2, 5, 1, 4, 0, 10, 3, 8, 5, 9, 2

 3

The marks of 15 students in an examination are:

25, 19, 17, 24, 23, 29, 31, 40, 19, 20, 22, 26, 17, 35, 21.


Find the median score.

 4

The heights (in cm) of 9 girls are:

144.2, 148.5, 143.7, 149.6, 150, 146.5, 145, 147.3, 152.1.


Find the median height.