Question

For the following data find mode.
Class  1-3  3-5  5-7  7-9  9-11
Frequency  14  16  2  4  2

Answer 1

ʜᴇʀᴇ, ᴍᴏᴅᴀʟ ᴄʟᴀss(ᴄʟᴀss ᴡɪᴛʜ ʜɪɢʜᴇsᴛ ғʀᴇǫᴜᴇɴᴄʏ) => 3-5
sᴏ, ʟ(ʟᴏᴡᴇʀ ʟɪᴍɪᴛ ᴏғ ᴍᴏᴅᴀʟ ᴄʟᴀss)= 3
ʜ(ᴄʟᴀss sɪᴢᴇ)=2
ғ1(ғʀᴇǫ. ᴏғ ᴍᴏᴅᴀʟ ᴄʟᴀss) = 16
ғ0(ғʀᴇǫ. ᴘʀᴇᴄᴇᴅɪɴɢ ᴍᴏᴅᴀʟ ᴄʟᴀss ғ.)= 14
ғ2(ғʀᴇǫ. sᴜᴄᴇᴇᴅɪɴɢ ᴍᴏᴅᴀʟ ᴄʟᴀss ғ.)=2

ᴍᴏᴅᴇ= ʟ + (ғ1-ғ0 / 2ғ1-ғ0-ғ2)ʜ
= 3+ (16-14/2(16)-14-2)2
= 3+ (2/16)2
= 3+ 2/8
= 26/8
=3.25