if the mode of the data is 60,find the value of k
0-25(10),25-50(30),50-5(K),75-100(25),100-125(20),125-150(15)
Answers
Answer:
k = 40
Step-by-step explanation:
if the mode of the data is 60,find the value of k
0-25(10),
25-50(30),
50-75(K),
75-100(25),
100-125(20),
125-150(15)
As Mode of data is 60 so modal group is 50-75
L is the lower class boundary of the modal group = 50
fm = frequency of modal group = k
fm-1 = frequency of the group before the modal group = 30
fm+1 = frequency of the group after the modal group = 25
w is the group width = 25
Mode = L + w (fm - fm-1) / ( fm - fm-1) + (fm - fm+1))
=> 60 = 50 + 25 * (k - 30)/ (k - 30 + k - 25)
=> 10 = 25 * ( k -30)/(2k - 55)
=> 20k - 550 = 25k - 750
=> 5k = 200
=> k = 40
Answer :
k = 40
Step-by-step explanation :
If the mode of the data is 60,find the value of k
0-25(10), 25-50(30), 50-75(K), 75-100(25), 100-125(20), 125-150(15)
As Mode of data is 60 so modal group is 50-75
L is the lower class boundary of the modal group = 50
fm = frequency of modal group = k
fm-1 = frequency of the group before the modal group = 30
fm+1 = frequency of the group after the modal group = 25
w is the group width = 25
Mode = L + w (fm - fm-1) / ( fm - fm-1) + (fm - fm+1))
=> 60 = 50 + 25 * (k - 30)/ (k - 30 + k - 25)
=> 10 = 25 * ( k -30)/(2k - 55)
=> 20k - 550 = 25k - 750
=> 5k = 200