write the formula for the mood and with the help of this formula find out the mode from the following frequency table: class interval; 0_10,10_20,20_30,30_40,40_50,50_60,60_70,70_80 frequency; 2,18,30,45,35,20,6,3 describe this question and solution
Answers
Answer:
Formula for finding mode is given by,
Mode = L+(fm−fm−1)+(fm−fm+1)fm−fm−1×w
Where, L= lower class boundary of modal class
(Model class = class with highest frequency)
fm−1= frequency of class before modal class
fm= frequency of modal class
fm+1= frequency of after modal class
w = group width
Here,
0-1010-20 20-30 30-40 40-50 50-60 60-70 70-80 714 13 12 20 11 15 8
Hence, Mode = 40+(20−12)+(20−11)20−12×10
=40+8+98×10
=40+1780=40(1+172)
=1740×19=17760
Mode = 17760
Answer:
Formula for finding mode is given by,
Mode = L+
(f
m
−f
m−1
)+(f
m
−f
m+1
)
f
m
−f
m−1
×w
Where, L= lower class boundary of modal class
(Model class = class with highest frequency)
f
m−1
= frequency of class before modal class
f
m
= frequency of modal class
f
m+1
= frequency of after modal class
w = group width
Here,
0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80
7 14 13 12 20 11 15 8
Hence, Mode = 40+
(20−12)+(20−11)
20−12
×10
=40+
8+9
8
×10
=40+
17
80
=40(1+
17
2
)
=
17
40×19
=
17
760
Mode =
17
760