Q. 3. Given data is about Time taken (in seconds) by a group of students to answer a simple geography question. Group the data in an interval of 10. 20 25 24 33 13 26/8 19 31 11 16 21 17 11 34 14 15 21 18 17
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Given: data of Time taken (in seconds) by a group of students to answer a simple geography question.
Data:- 20 ,25 ,24 ,33 ,13 ,26,8 ,19 ,31 ,11 ,16 ,21 ,17 ,11 ,34 ,14 ,15 ,21 ,18 ,17
Total number of observations = 19
To Find: Group the data in an interval of 10
Solution:
- When individual observations of a variable(students who answered a simple geography question) are arranged in such a way that a frequency distribution table can be constructed by setting intervals for the data so that larger data sets can be easily summarized.
- A tally distribution table can be constructed, further pie or bar chart can also be constructed as a way to easily visualize bigger data sets.
- A class consists of an upper and a lower limit.
- The difference between the upper limit and lower limit is called a class interval.
- For example : 0 - 10 class has class interval = 10 - 0 = 10
- It's easy to arrange the data into classes after arranging in ascending order(a.o):
- a.o of the given data: 8, 11, 11, 13, 14, 15, 16, 17, 17, 18, 19, 20, 21, 21, 24, 25, 26, 31, 33
- Classes for this data are:-
Groups/ Observations Frequency
classes in the particular class
- 0 - 10 8 1
- 10 - 20 11, 11, 13, 14, 15, 16, 17, 17, 18, 19 10
- 20 - 30 20, 21, 21, 24, 25, 26 6
- 30 - 40 33 1
- Note: The lower limit of the class is counted as an observation in that class, the upper limit is not considered as an observation in that class.
- For example: In the given data, 20 is the upper limit of Class 2 but counted in class 3 where 20 is a lower limit.
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