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Given:
In figure, the given distribution show the number of runs scored by some top batsman of the world in one-day international cricket matches.
The mode of the data.
We know that formula of the mode:
Mode=
We have,for mode;
- Highest frequency is 18
- The modal class= 4000-5000
Therefore,
Lower class limit of the modal class,[L]= 4000
Class-Interval of the modal class,,[h]= 1000
Frequency of the modal class,[f1]= 18
Frequency of the class preceding the modal class,[f0]= 4
Frequency of the class succeeding the modal class,[f2]= 9
- Substituting the value of formula of the mode:
→ Mode=
→ Mode=
→ Mode=
→ Mode=
→ Mode= 4000+ 608.69
→ mode= 4608.69
Thus,
The mode of the data is 4608.69
Answered by
38
Step-by-step explanation:
Given:
In figure, the given distribution show the number of runs scored by some top batsmanof the world in one-day international cricket matches.
\bf{\Large{\underline{\rm{\red{To\:find\::}}}}}
The mode of the data.
\bf{\Large{\underline{\sf{\green{Explanation\::}}}}}
We know that formula of the mode:
Mode=
L+\frac{f1-f0}{2f1-f0-f2} *h
We have,for mode;
•
Highest frequency is 18
•
The modal class= 4000-5000
Therefore,Lower class limit of the modal class,[L]= 4000
Class-Interval of the modal class,,[h]= 1000
Frequency of the modal class,[f1]= 18
Frequency of the class preceding the modal class,[f0]= 4
Frequency of the class succeeding the modal class,[f2]= 9
•
Substituting the value of formula of the mode:
→ Mode=
4000+\frac{18-4}{2*18-4-9} *1000
→ Mode=
4000+\frac{14}{36-13} *1000
→ Mode=
4000+\frac{14}{23} *1000
→ Mode=
4000+\cancel{\frac{14000}{23} }
→ Mode= 4000+ 608.69
→ mode= 4608.69
Thus,The mode of the data is 4608.69
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