Question

2. Find mode from following frequency distribution
Class interval 130-134 |135-139| 140-144| 145-149| 150–154| 155-159| 160-164|
Frequency 5 | 15 |24 | 28 | 17| 8|3

Answer 1

Solution :-

Class ----------- Fi

129.5-134.5---- 5

134.5-139.5---- 15

139.5-144.5----24

144.5-149.5----28

149.5-154.5---- 17

154.5-159.5---- 8

159.5-164.5---- 3

----------⅀Fi = 100

from data, highest frequency class = 144.5 - 149.5 = mode class .

• Mode = l + [(f1 - f0) / (2f1 - f0 - f2)] * h .

from data we have :-

• Lower limit of mode class = l = 144.5
• Size of class = 5 = h .
• f1 = frequency of mode class = 28 .
• f0 = frequency of previous class = 24 .
• f2 = frequency of next class = 17 .

Putting all values we get :-

→ Mode = 144.5 + [(28 - 24) / (2*28 - 24 - 17)] * 5

→ Mode = 144.5 + [4/(56 - 41)] * 5

→ Mode = 144.5 + (4/15) * 5

→ Mode = 144.5 + 1.33

→ Mode = 145.83 (Ans.)

Learn more :-

calculate the median and mode from the following income between (rs)100-200 100-300 100-400 100-500 100-600 no of person...

https://brainly.in/question/23585381

Some students of class X donated for the welfare of old age persons. The contributions are shown in the following distri...

https://brainly.in/question/17314012