Exercise 16.1 ember of observa der etenen items are a 1. Make a frequency distribution table for the following marks out of 40 of 25 students. 15, 35, 20, 15, 25, 30, 35, 20, 19, 25, 25, 20, 15, 38, 36, 19, 18, 20, 25, 35, 18, 19,15,19,19 2.
Answers
Answer:
Step-by-step explanation:
Mode of the following distribution is:
• Estimated Mode is given by formula,
L + [ (f1 - fo)/2f1 - fo - f2 ]×w
Where,
• L is the lower class boundary of the modal group
• fo is the frequency of the group before the modal group
• f1 is the frequency of the modal group
• f2 is the frequency of the group after the modal group
• w is the group width
Mode is the maximum number of data occurring in a given distribution.
1. class interval: 0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80
Frequency: 5 8 7 12 28 20 10 10
In 1st distribution, modal class = 40 - 50
Mode=40+[ (28-12)/2×28-12+20 ]×10
= 40 + 260/64 = 40+3.75 = 43.75
2. class interval: 10-15 15-20 20-25 25-30 30-35 35-40
Frequency: 30 45 75 35 25 15
Modal class = 20-25
Mode = 20+[(75-45)/75×2-45+35]×5
= 20 + 150/140 = 20+1.07 = 21.07