Question

find mode of following data.
Length (in mm)
---------------------
118 - 126
127-135
136-144
145 - 153
154 - 162
163-171
172 - 180
Number or leaves fi
------------------------------
3
5
9
12
5
4
2​

Answer 1

Answer:

first we have to do it in a systmetic way by subtracting 1/2from left side and adding 1/2in right side and then we have to choose mode class i.e.144.5-153.5 and then we have to put formula i.e. =l+(f1-f0/2f1-f0-f2)×h and then we have to put values i.e. 144.5+(12-9/2×12-9-5)×9

144.5+(3/24-14)×9

144.5+(3/10)×9

144.5+27/10

144.5+2.7

147.2

the answer is 147.2