Q69 of 91 Page 72

Given below are heights of 15 boys of a class measured in cm:

128, 144, 146, 143, 136, 142, 138, 129, 140, 152, 144, 140, 150, 142, 154.


Find


A. The height of the tallest boy.


B. The height of the shortest boy.


C. The range of the given data.


D. The median height of the boys.

(A) As in given data


Maximum height among 15 boys


Is 154cm


∴ the tallest boy is 154cm long


(B) As in given data


Minimum height among 15 boys


Is 128cm


∴ the shortest boy is 128 cm long


(C) Range = Highest height – lowest height


= 154cm – 128cm


= 26cm


(D) For median 1st arrange data in ascending order


128,129,136,138,140,140,142,142,143,144,144,146,


150,152,154


Median for odd number of terms is


Median = 8th term


Median = 142


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67

The mean of three numbers is 10. The mean of other four numbers is 12. Find the mean of all the numbers.

 68

Find the mode of the given data:

10, 8, 4, 7, 8, 11, 15, 8, 4, 2, 3, 6, 8

 70

Observe the data and answer the questions that follow:

16, 15, 16, 16, 8, 15, 17


A. Which data value can be put in the data so that the mode remains the same?


B. At least how many and which value(s) must be put in to change the mode to 15?


C. What is the least number of data values that must be put in to change the mode to 17? Name them.

 71

Age (in years) of 6 children of two groups are recorded as below:


A. Find the mode and range for each group.


B. Find the range and mode if the two groups are combined together.