Question

Find the median at the following
64 41, 87, 77, 58, 55, 90,46,35,33,92​

Answer 1

ᴀɴꜱᴡᴇʀ:-

58

ꜱᴛᴇᴩ-ʙy-ꜱᴛᴇᴩ ᴇxᴩʟᴀɴᴀᴛɪᴏɴ:-

ꜰɪʀꜱᴛ, ᴡᴇ ʜᴀᴠᴇ ᴛᴏ ᴀʀʀᴀɴɢᴇ ᴛʜᴇ ᴅᴀᴛᴀ ɪɴ ᴀꜱᴄᴇɴᴅɪɴɢ ᴏʀᴅᴇʀ (ꜱᴍᴀʟʟᴇꜱᴛ ᴛᴏ ʟᴀʀɢᴇꜱᴛ)

ᴅᴀᴛᴀ (ɢɪᴠᴇɴ):- 64, 41, 87, 77, 58, 55, 90, 46, 36, 33, 92

ᴀꜱᴄᴇɴᴅɪɴɢ ᴏʀᴅᴇʀ:-

33, 35, 41, 46, 55, 58, 64, 77, 87, 90, 92

ɢɪᴠᴇɴ ɴᴜᴍʙᴇʀʙᴏꜰ ᴏʙꜱᴇʀᴠᴀᴛɪᴏɴꜱ= 11 (ᴏᴅᴅ)

ᴛʜᴇʀᴇꜰᴏʀᴇ, ᴍᴇᴅɪᴀɴ= ᴠᴀʟᴜᴇ ᴏꜰ [(ɴ+1)/2]ᴛʜ ᴏʙꜱᴇʀᴠᴀᴛɪᴏɴ

= ᴠᴀʟᴜᴇ ᴏꜰ (11+1)/2

= ᴠᴀʟᴜᴇ ᴏꜰ 6ᴛʜ ᴏʙꜱᴇʀᴠᴀᴛɪᴏɴ

ᴠᴀʟᴜᴇ ᴏꜰ 6ᴛʜ ᴏʙꜱᴇʀᴠᴀᴛɪᴏɴ= 58

ᴛʜᴇʀᴇꜰᴏʀᴇ, ᴍᴇᴅɪᴀɴ=58