c) Find the mean of the following distribution by STEP DEVIATION METHOD.
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- Complete step-by-step answer:
- Complete step-by-step answer:We know that the formula to calculate mean is Mean=∑fid∑fi, where ∑fid is the total sum of fid and ∑fi is the total sum of fi. Hence, the value of is 14.
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ᴄᴀʟᴄᴜʟᴀᴛᴇ ᴛʜᴇ ᴍᴇᴀɴ ᴏғ ᴛʜᴇ ғᴏʟʟᴏᴡɪɴɢ ᴅɪsᴛʀɪʙᴜᴛɪᴏɴ ᴜsɪɴɢ sᴛᴇᴘ ᴅᴇᴠɪᴀᴛɪᴏɴ ᴍᴇᴛʜᴏᴅ :-
ᴍᴀʀᴋs 0-10 10-20 20-30 30-40 40-50 50-60
ɴᴜᴍʙᴇʀ 10 9 25 30 16 10
Let A=25 and h=10 X =A+ ∑fih×∑fiui =25+ 10010×63 =25+6.3=31.3. Hence, the mean is 31.3.
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