MathsPushan · Class 9-10
Average jhooth bol sakta hai — median se poocho
Agar kaha jaaye ki tumhari gali ka 'average' pocket money Rs 300 hai, toh kya zyada-tar bachchon ko Rs 300 milta hai?
Socho pehle… phir dekho jawab
Zaroori nahin! Ek bahut bada number poore mean ko khinch leta hai. Median — beech wala number — batata hai ki 'aam' bachcha kahan khada hai.
Example lo (numbers sirf samjhane ke liye): paanch dost ko Rs 100, 100, 100, 100 aur 1100 milte hain. Mean = kul jod / ginti = 1500 / 5 = Rs 300. Par paanch mein se chaar ko sirf Rs 100 milta hai! Ek bade number ne average ko upar kheench liya.
Median nikalne ke liye numbers ko chhote se bade line mein lagao aur beech wala dekho: 100, 100, 100, 100, 1100 — beech mein 100. Yeh zyada sach bolta hai. Mode (sabse zyada baar aane wala) bhi yahan 100 hai.
Isliye aay (income), ghar ke daam ya class ke marks jaisi cheezon mein, jahan kuch log bahut upar hote hain, median aksar zyada kaam ka hota hai. Mean bekaar nahin hai — jab data barabar-sa faila ho, woh badhiya hai. Asli skill hai yeh poochhna: yeh number mean hai ya median, aur kyun?
Ghar pe try karo
Ghar ke 5-7 logon ki umar likho. Mean aur median dono nikaalo. Ab dada-dadi ko hata kar phir se nikaalo. Kaunsa zyada badla?
Wow!
Ek billionaire kisi chai ki dukaan mein ghus jaaye toh wahan baithe sabki 'average' income achanak crore mein — par kisi ki jeb nahin badli.
3 sawaal
- Data 2, 4, 6, 8, 30 ka mean kya hai?
Jawab dekho
10. Jod 50 hai, ginti 5, toh mean = 10.
- Usi data 2, 4, 6, 8, 30 ka median kya hai?
Jawab dekho
6. Line mein beech ka (teesra) number 6 hai.
- Ek bahut bada extreme value data mein aane par sabse zyada kaun badalta hai?
Jawab dekho
Mean. Mean har value ko jodta hai, isliye extreme value use kheench leta hai; median beech ki position dekhta hai.
NCERT se jodo: NCERT Class 10 Maths — statistics (mean, median aur mode)