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Explanation:
Given :-
4,6,7,5,3,5,4,5,2,6,2,5,1,9,6,5,8,4,6,7
To find :-
Organise the data into a tabular form and answer the following :
1) Which number is the highest ?
2) Which number is the lowest ?
3) Which is the range of the data ?
4) Find the arithmetic mean ?
Solution :-
Given observations of a data :
4,6,7,5,3,5,4,5,2,6,2,5,1,9,6,5,8,4,6,7
Heighest value = 9
1) Height number = 9
Lowest value = 1
2) Lowest Number = 1
We know that
3) Finding Range of the data :-
The difference between the heighest and Lowest values is called the Range of the data
Range = Heighest value-Lowest value
=> Range = 9-1
=> Range = 8
4) Finding Arithmetic Mean :-
Given observations are :
4,6,7,5,3,5,4,5,2,6,2,5,1,9,6,5,8,4,6,7
Sum of the observations
= 4+6+7+5+3+5+4+5+2+6+2+5+1+9+6+5+8+4+6+7
=100
Number of all observations = 20
We know that
Arithmetic Mean = Sum of all observations/Number of all observations
=> AM = 100/20
=> AM = 5
Answer:-
1) Height number = 9
2)Lowest Number = 1
3)Range of the data = 8
4) Arithmetic Mean of the data = 5
Used formulae:-
- The difference between the heighest and Lowest values is called the Range of the data
- Range = Heighest value-Lowest value
- Arithmetic Mean = Sum of all observations/Number of all observations