Q71 of 91 Page 72

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.

Mode = it is the most repeated term in the given sat of data


Range = Highest – lowest


(A) For Group A


Mode = 7 and 10 years ∵ (Both repeated twice)


Range = Highest – lowest


= 10-7 = 3 years


For Group B


Mode = 12 years ∵ (repeated 3 times)


Range = Highest – lowest


= 12 – 7 = 5 years


(B) If both groups are joined


The data will be


7,7,7,8,9,9,10,10,11,12,12,12


Mode = 12 and 7 years ∵ (Both repeated thrice)


Range = Highest – Lowest


= 12 – 7


= 5 years


More from this chapter

All 91 →
69

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.

 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.

 72

Observe the given bar graph carefully and answer the questions that follow.


A. What information does the bar graph depict?


B. How many motor bikes were produced in the first three months?


C. Calculate the increase in production in May over the production in January.


D. In which month the production was minimum and what was it?


E. Calculate the average (mean) production of bikes in 6 months.

 73

The bar graph given below shows the marks of students of a class in a particular subject:


Study the bar graph and answer the following questions:


A. If 40 is the pass mark, then how many students have failed?


B. How many students got marks from 50 to 69?


C. How many students scored 90 marks and above?


D. If students who scored marks above 80 are given merits then how many merit holders are there?


E. What is the strength of the class?