The following table gives the heights ( in cm) of a group of 55 students in a class :
140-142 ,142- 144, 144-146, 146 - 148, 148- 150, 150 - 152, 152 - 154 154-156
No of students
4,6,9,12,9,7,3,5. find the modal height of the students.
Answers
Answer:
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Step-by-step explanation:
Group with the Highest no. of Students is 146 - 148
So, the Modal height is 146 - 148 cm
Given : heights (in cm) of a group of 55 students in a class.
To Find : modal height of the class
Solution:
Height No of students
140-142 4
142-144 6
144-146 9
146-148 12
148-150 9
150-152 7
152-154 3
154-156 5
Modal class is the class with maximum frequency
Maximum frequency = 12
12 lies in 146 - 148
Modal class in 146 - 148 cm
Most of the students height lies between 146 & 148 cm
Mode = 146 + 2 * (12 - 9)/(12 - 9 + 12 - 9)
= 146 + 2 * 3/6
= 146 + 1
= 147
Modal height = 147 cm
Hence maximum number of students have height 147 cm
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