Q1 of 20 Page 24

Define the following terms :

(i) Observations


(ii) Raw data


(iii) Fequency of an observation


(iv) Frequency distribution


(v) Discrete frequency distribution


(vi) Grouped frequency distribution


(vii) Class-interval


(viii) Class-size


(ix) Class limits


(x) True class limits

(i) Observations:-


Data obtains by the observer from the given problem is called observations.


(ii) Raw data:-


Data collected in its original form is called Raw Data.


(iii) Fequency of an observation:-


Number of times a certain value occurs is termed as frequency.


(iv) Frequency distribution:-


Organisation of Raw data in tabular form is called Frequency Distribution.


(v) Discrete frequency distribution:-


Frequency Distribution in which Raw Data is ungrouped is called Discrete frequency distribution.


(vi) Grouped frequency distribution:-


A frequency Distribution in which Raw data is grouped in specific class.


(vii) Class-interval:-


Class interval is a group under which large number of data is grouped to analyze its Range and Distribution.


(viii) Class-size:-


Class –size is defined as the difference between upper and lower boundaries of any class.


(ix) Class limits:-


Class limits works as separation of one class in a grouped frequency distribution from another.


(x) True class limits:-


The Exact class limits of frequency distribution are called True class limits.


More from this chapter

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2

The final marks in mathematics of 30 students are as follows:

53, 61, 48, 60, 78, 68, 55, 100, 67, 90, 75, 88, 77, 37, 84,


58, 60, 48, 62, 56, 44, 58, 52, 64, 98, 59, 70, 39, 50, 60


(i) Arrange these marks in the ascending order, 30 to 39 one group, 40 to 49 second group etc.


Now answer the following:


(ii) What is the highest score?


(iii) What is the lowest score?


(iv) What is the range?


(v) If 40 is the pass mark how many have failed?


(vi) How many have scored 75 or more?


(vii) Which observations between 50 and 60 have not actually appeared?


(viii) How many have scored less than 50?

3

The weights of new born babies (in kg) in a hospital on a particular day are as follows:

2.3, 2.2, 2.1, 2.7, 2.6, 3.0, 2.5, 2.9, 2.8, 3.1, 2.5, 2.8, 2.7, 2.9, 2.4


(i) Rearrange the weights in descending order.


(ii) Determine the highest weight.


(iii) Determine the lowest weight.


(iv) Determine the range.


(v) How many babies were born on that day?


(vi) How many babies weigh below 2.5 kg?


(vii) How many babies weigh more than 2.8 kg?


(viii) How many babies weigh 2.8 kg?

4

Following data gives the number of children in 40 families :

1, 2, 6, 5, 1, 5, 1, 3, 2, 6, 2, 3, 4, 2, 0, 0, 4, 4, 3, 2, 2, 0, 0, 1, 2, 2, 4, 3, 2, 1, 0, 5, 1, 2, 4, 3, 4, 1, 6, 2, 2.

Represent it in the form of a frequency distribution.

5

Prepare a frequency table of the following scores obtained by 50 students in a test :

42, 51, 21, 42, 37, 37, 42, 49, 38, 52, 7, 33, 17,


44, 39, 7, 14, 27, 39, 42, 42, 62, 37, 39, 67, 51,


53, 53, 59, 41, 29, 38, 27, 31, 54, 19, 53, 51, 22,


61, 42, 39, 59, 47, 33, 34, 16, 37, 57, 43