Answer :
Answer: (a) 4
(b) 5
(c) 14
(d)
Class interval Class mark
30 - 35 [tex]\dfrac{35+30}{2}=32.5[/tex]
35 - 40 [tex]\dfrac{35+40}{2}=37.5[/tex]
40 - 45 [tex]\dfrac{40+45}{2}=42.5[/tex]
45 - 50 [tex]\dfrac{45+50}{2}=47.5[/tex]
50 - 55 [tex]\dfrac{50+55}{2}=52.5[/tex]
Step-by-step explanation:
The data of 40 persons is given as :
Weights (in kg) Frequency
30 - 35 6
35 - 40 13
40 - 45 14
45 - 50 4
50 - 55 3
(a)
Lower limit is the lowest number in a class interval .
So, is the lower limit of fourth-class interval (45 - 50) is 4.
(b)
Class size = Upper limit - lower limit
So, Class size of first class interval = 35-30=5
Thus , class size of each interval is 5. [ class size remains same]
(c)
Highest frequency in table = 14 which is corresponding to 40 - 45 .
Thus , 40 - 45 is the class interval has the highest frequency.
(d)
Class mark is the mid value of each class interval.
Class interval = [tex]\dfrac{(\text{Upper limit+Lower limit})}{2}[/tex]
Class interval Class mark
30 - 35 [tex]\dfrac{35+30}{2}=32.5[/tex]
35 - 40 [tex]\dfrac{35+40}{2}=37.5[/tex]
40 - 45 [tex]\dfrac{40+45}{2}=42.5[/tex]
45 - 50 [tex]\dfrac{45+50}{2}=47.5[/tex]
50 - 55 [tex]\dfrac{50+55}{2}=52.5[/tex]