A boy noted that a number of cars passing through a spot on a road for 100 periods each of 3 min and summarised it in the table given below. find the mode of the data.
Number of cars - 0-10 | 10-20 | 20-30 | 30-40 |40-50 |50-60 |60-70 |70-80 |. f - |7 | 14 | 13 | 12|20| 11| 15| 8|.
(Class 10 Maths Sample Question Paper)
Answers
Answered by
9
SOLUTION:
Here, modal class is 40-50, since it has a maximum frequency which is 20.
l= 40, f1= 20, f0= 12, f2=11, h= 10
Mode= l + (f1-f0/2f1-f0-f2) ×h
Mode= 40 +(20-12/2×20-12-11)× 10
Mode= 40 + (8 /40 - 23)× 10
Mode= 40 + (8 / 17 )× 10
Mode= 40 + (80/17)
Mode = 49 + 4.7
Mode = 44.7
Hence, the mode of the given data is 44.7
HOPE THIS WILL HELP YOU...
Here, modal class is 40-50, since it has a maximum frequency which is 20.
l= 40, f1= 20, f0= 12, f2=11, h= 10
Mode= l + (f1-f0/2f1-f0-f2) ×h
Mode= 40 +(20-12/2×20-12-11)× 10
Mode= 40 + (8 /40 - 23)× 10
Mode= 40 + (8 / 17 )× 10
Mode= 40 + (80/17)
Mode = 49 + 4.7
Mode = 44.7
Hence, the mode of the given data is 44.7
HOPE THIS WILL HELP YOU...
Answered by
1
Answer:
44.7
Step-by-step explanation:
Here, modal class is 40-50, since it has a maximum frequency which is 20.
l= 40, f1= 20, f0= 12, f2=11, h= 10
Mode= l + (f1-f0/2f1-f0-f2) ×h
Mode= 40 +(20-12/2×20-12-11)× 10
Mode= 40 + (8 /40 - 23)× 10
Mode= 40 + (8 / 17 )× 10
Mode= 40 + (80/17)
Mode = 49 + 4.7
Mode = 44.7
Hence, the mode of the given data is 44.7
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