In a medical examination the following data of five students of a class were recorded by the doctor: NAME AGE Sunita 14years 4 months Joan 15 yeas 8 months Ahmed 15years 6 months Shafiq 16 years 4 months Jyoti 16years 11 months NAME..WIEGHT.. HEIGHT.. Sunita 48 kg 151cm Joan 52kg 156cm Ahmed 45kg 152cm Shafiq 49kg 158cm Jyoti 55kg 153cm Find the AVERAGE AGE, AVERAGE WIEGHT and AVERAGE HIEGHT of a student in the group.
Answers
Answer:
Let us now plot the points corresponding to the ordered pairs given by (38,0),(40,3),(42,5),(44,9),(46,14),(48,28),(50,32) and (52,35) on a graph paper and join them by a free hand smooth curve.
Now,
Weight (in kg) Number of students (Frequency)
0−38 0
38−40 3−0=3
40−42 5−3=2
42−44 9−5=4
44−46 14−9=5
46−48 28−14=14
48−50 32−28=4
50−52 35−32=3
Mode: The class which have highest frequency.
In this case, class interval 46−48 is the modal class.
Now,
Lower limit of modal class, l=46,h=2,f1=14,f 0 =5,
f2 =4
We know that,
Mode =l+( f 1 −f0/2f1 -2f0 −f2) ×h=46+(14-5) /2(14) -5-4) *2
=46+0.95
Mode =46.95
Formula for finding average=
Sum of all observations
Total no. of observations
Average Age = 172+188+186+196+203
5
= 945
5
= 189 months = 15 years 7 months
Likewise, find out average height and weight
Answers are:
Average height = 154 cm
Average weight = 49.5 kg
HOPE IT HELPS ❤