Question

Explain the main limitations of statistics.​

Answer 1

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☘sᴏᴍᴇ ɪᴍᴘᴏʀᴛᴀɴᴛ ʟɪᴍɪᴛᴀᴛɪᴏɴs ᴏғ sᴛᴀᴛɪsᴛɪᴄs ᴀʀᴇ:–

(1) sᴛᴀᴛɪsᴛɪᴄs ʟᴀᴡs ᴀʀᴇ ᴛʀᴜᴇ ᴏɴ ᴀᴠᴇʀᴀɢᴇ. sᴛᴀᴛɪsᴛɪᴄs ᴀʀᴇ ᴀɢɢʀᴇɢᴀᴛᴇs ᴏғ ғᴀᴄᴛs, sᴏ ᴀ sɪɴɢʟᴇ ᴏʙsᴇʀᴠᴀᴛɪᴏɴ ɪs ɴᴏᴛ ᴀ sᴛᴀᴛɪsᴛɪᴄ. sᴛᴀᴛɪsᴛɪᴄs ᴅᴇᴀʟ ᴡɪᴛʜ ɢʀᴏᴜᴘs ᴀɴᴅ ᴀɢɢʀᴇɢᴀᴛᴇs ᴏɴʟʏ.

(2) sᴛᴀᴛɪsᴛɪᴄᴀʟ ᴍᴇᴛʜᴏᴅs ᴀʀᴇ ʙᴇsᴛ ᴀᴘᴘʟɪᴄᴀʙʟᴇ ᴛᴏ ǫᴜᴀɴᴛɪᴛᴀᴛɪᴠᴇ ᴅᴀᴛᴀ.

(3) sᴛᴀᴛɪsᴛɪᴄs ᴄᴀɴɴᴏᴛ ʙᴇ ᴀᴘᴘʟɪᴇᴅ ᴛᴏ ʜᴇᴛᴇʀᴏɢᴇɴᴇᴏᴜs ᴅᴀᴛᴀ.

(4) ɪғ sᴜғғɪᴄɪᴇɴᴛ ᴄᴀʀᴇ ɪs ɴᴏᴛ ᴇxᴇʀᴄɪsᴇᴅ ɪɴ ᴄᴏʟʟᴇᴄᴛɪɴɢ, ᴀɴᴀʟʏᴢɪɴɢ ᴀɴᴅ ɪɴᴛᴇʀᴘʀᴇᴛɪɴɢ ᴛʜᴇ ᴅᴀᴛᴀ, sᴛᴀᴛɪsᴛɪᴄᴀʟ ʀᴇsᴜʟᴛs ᴍɪɢʜᴛ ʙᴇ ᴍɪsʟᴇᴀᴅɪɴɢ.

(5) ᴏɴʟʏ ᴀ ᴘᴇʀsᴏɴ ᴡʜᴏ ʜᴀs ᴀɴ ᴇxᴘᴇʀᴛ ᴋɴᴏᴡʟᴇᴅɢᴇ ᴏғ sᴛᴀᴛɪsᴛɪᴄs ᴄᴀɴ ʜᴀɴᴅʟᴇ sᴛᴀᴛɪsᴛɪᴄᴀʟ ᴅᴀᴛᴀ ᴇғғɪᴄɪᴇɴᴛʟʏ.

(6) sᴏᴍᴇ ᴇʀʀᴏʀs ᴀʀᴇ ᴘᴏssɪʙʟᴇ ɪɴ sᴛᴀᴛɪsᴛɪᴄᴀʟ ᴅᴇᴄɪsɪᴏɴs. ɪɴ ᴘᴀʀᴛɪᴄᴜʟᴀʀ, ɪɴғᴇʀᴇɴᴛɪᴀʟ sᴛᴀᴛɪsᴛɪᴄs ɪɴᴠᴏʟᴠᴇs ᴄᴇʀᴛᴀɪɴ ᴇʀʀᴏʀs. ᴡᴇ ᴅᴏ ɴᴏᴛ ᴋɴᴏᴡ ᴡʜᴇᴛʜᴇʀ ᴀɴ ᴇʀʀᴏʀ ʜᴀs ʙᴇᴇɴ ᴄᴏᴍᴍɪᴛᴛᴇᴅ ᴏʀ ɴᴏᴛ.

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Answer 2

Step-by-step explanation:

☘sᴏᴍᴇ ɪᴍᴘᴏʀᴛᴀɴᴛ ʟɪᴍɪᴛᴀᴛɪᴏɴs ᴏғ sᴛᴀᴛɪsᴛɪᴄs ᴀʀᴇ:–

(1) sᴛᴀᴛɪsᴛɪᴄs ʟᴀᴡs ᴀʀᴇ ᴛʀᴜᴇ ᴏɴ ᴀᴠᴇʀᴀɢᴇ. sᴛᴀᴛɪsᴛɪᴄs ᴀʀᴇ ᴀɢɢʀᴇɢᴀᴛᴇs ᴏғ ғᴀᴄᴛs, sᴏ ᴀ sɪɴɢʟᴇ ᴏʙsᴇʀᴠᴀᴛɪᴏɴ ɪs ɴᴏᴛ ᴀ sᴛᴀᴛɪsᴛɪᴄ. sᴛᴀᴛɪsᴛɪᴄs ᴅᴇᴀʟ ᴡɪᴛʜ ɢʀᴏᴜᴘs ᴀɴᴅ ᴀɢɢʀᴇɢᴀᴛᴇs ᴏɴʟʏ.

(2) sᴛᴀᴛɪsᴛɪᴄᴀʟ ᴍᴇᴛʜᴏᴅs ᴀʀᴇ ʙᴇsᴛ ᴀᴘᴘʟɪᴄᴀʙʟᴇ ᴛᴏ ǫᴜᴀɴᴛɪᴛᴀᴛɪᴠᴇ ᴅᴀᴛᴀ.

(3) sᴛᴀᴛɪsᴛɪᴄs ᴄᴀɴɴᴏᴛ ʙᴇ ᴀᴘᴘʟɪᴇᴅ ᴛᴏ ʜᴇᴛᴇʀᴏɢᴇɴᴇᴏᴜs ᴅᴀᴛᴀ.

(4) ɪғ sᴜғғɪᴄɪᴇɴᴛ ᴄᴀʀᴇ ɪs ɴᴏᴛ ᴇxᴇʀᴄɪsᴇᴅ ɪɴ ᴄᴏʟʟᴇᴄᴛɪɴɢ, ᴀɴᴀʟʏᴢɪɴɢ ᴀɴᴅ ɪɴᴛᴇʀᴘʀᴇᴛɪɴɢ ᴛʜᴇ ᴅᴀᴛᴀ, sᴛᴀᴛɪsᴛɪᴄᴀʟ ʀᴇsᴜʟᴛs ᴍɪɢʜᴛ ʙᴇ ᴍɪsʟᴇᴀᴅɪɴɢ.

(5) ᴏɴʟʏ ᴀ ᴘᴇʀsᴏɴ ᴡʜᴏ ʜᴀs ᴀɴ ᴇxᴘᴇʀᴛ ᴋɴᴏᴡʟᴇᴅɢᴇ ᴏғ sᴛᴀᴛɪsᴛɪᴄs ᴄᴀɴ ʜᴀɴᴅʟᴇ sᴛᴀᴛɪsᴛɪᴄᴀʟ ᴅᴀᴛᴀ ᴇғғɪᴄɪᴇɴᴛʟʏ.

(6) sᴏᴍᴇ ᴇʀʀᴏʀs ᴀʀᴇ ᴘᴏssɪʙʟᴇ ɪɴ sᴛᴀᴛɪsᴛɪᴄᴀʟ ᴅᴇᴄɪsɪᴏɴs. ɪɴ ᴘᴀʀᴛɪᴄᴜʟᴀʀ, ɪɴғᴇʀᴇɴᴛɪᴀʟ sᴛᴀᴛɪsᴛɪᴄs ɪɴᴠᴏʟᴠᴇs ᴄᴇʀᴛᴀɪɴ ᴇʀʀᴏʀs. ᴡᴇ ᴅᴏ ɴᴏᴛ ᴋɴᴏᴡ ᴡʜᴇᴛʜᴇʀ ᴀɴ ᴇʀʀᴏʀ ʜᴀs ʙᴇᴇɴ ᴄᴏᴍᴍɪᴛᴛᴇᴅ ᴏʀ ɴᴏᴛ.