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Define cumulative frequency distribution.
Cumulative frequency distribution:
A table which displays the manner in which cumulative frequencies are distributed over various classes is called a cumulative frequency distribution or cumulative frequency distribution table.
Explain the difference between a frequency distribution and a cumulative frequency distribution.
Frequency table or frequency distribution is a method to represent raw data in the form from which one can easily understand the information contained in a raw data, where as a table which plays the manner in which cumulative frequencies are distributed over various classes is called a cumulative frequency distribution.
The marks scored by 55 students in a test are given below:
Prepare a cumulative frequency table
Following are the ages of 360 patients getting medical treatment in a hospital on a day.
Construct a cumulative frequency table.
The water bills (in rupees) of 32 houses in a certain street for the period 1.198 to 31.398 are given below:
56, 43, 32, 38, 56, 24, 68, 85, 52, 47, 35, 58, 63, 74, 27, 84, 69, 35, 44, 75, 55, 30, 54, 65, 45, 67, 95, 72, 43, 65, 35, 69.
Tabulate the data and present the data as a cumulative frequency table using 70-79 as one of the class intervals.
The minimum bill is Rs 24
The maximum bill is Rs 95
Range = Maximum bill-Minimum bill = 95 - 24 = 71
Given class interval is 70-79. So, Class size = 79 – 70 = 9
Therefore number of classes = Range/class size = 71/9 = 7.80
Number of classes = 8
The cumulative frequency distribution is as follows:
The number of books in different shelves of a library is as follows:
30, 32, 28, 24, 20, 25, 38, 37, 40, 45, 16, 20
19, 24, 27, 30, 32, 34, 35, 42, 27, 28, 19, 34
38, 39, 42, 29, 24, 27, 22, 29, 31, 19, 27, 25
28, 23, 24, 32, 34, 18, 27, 25, 37, 31, 24, 23
43, 32, 28, 31, 24, 23, 26, 36, 32, 29, 28, 21.
Prepare a cumulative frequency distribution table using 45 – 49 as the last class-interval.
The minimum number of bookshelves is 16
and maximum number of bookshelves is 45
Range = Maximum book shelves-Minimum book shelves = 45 - 16 = 29
Given class interval is 45 – 49.So, class size = 49 - 45 = 4
Therefore number of classes = Range/class size = 29/4 = 7.25
Given below are the cumulative frequencies showing the weights of 685 students of a school. Prepare a frequency distribution table.
The following cumulative frequency distribution table shows the daily electricity consumption (in KW) of 40 factories in an industrial state.
(1) Represent this as a frequency distribution table.
(2) Prepare a cumulative frequency table.
(1)
(2)
Given below is a cumulative frequency distribution table showing ages of the people living in a locality:
Prepare a frequency distribution table.
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Chapter 22: Tabular Representation of Statistical...