Class 6 Maths Chapter 4 NCERT Solutions Hinglish mein: Data Handling and Presentation

Ganita Prakash (Reprint 2026-27) ke Chapter 4, Data Handling and Presentation, ke har “Figure it Out” aur text ke beech ke sawal ke jawab, pictographs aur bar graphs bane hue. Page numbers book se match karte hain, aur jawab chapter ke saath chhape NCERT ke apne solutions se milaaye gaye hain; jahan hum alag hain, wahan wajah bataayi hai. Apni class ya aas-paas ke kaamon ke sample jawab hain. Short notes: Chapter 4 notes.

Figure it Out: data ikattha karna (pages 75–76)

1. List ko table mein vyavasthit karo, har khel ke tally marks ke saath, phir frequencies ki tulna karo.

2. 31 naam ginne pe: hockey 8, kabaddi 6, cricket 6, satoliya (pittu) 5, football 4 aur badminton 2. Sabse pasandeeda khel hockey hai.

3. Har classmate se poochho, jawabon ki tally karo aur sabse zyada frequency waala khel dhoondho.

4. a. ✓ (classmates se poochhna hoga); b. ✗ (jaana-maana tathya: 1947); c. ✓ (naapkar likhna hoga); d. ✗ (jaana-maana tathya: New Delhi).

Figure it Out: Shri Nilesh ki mithaaiyan (pages 76–77)

1. a. 6 ne jalebi chuni; b. barfi 3 ne chuni; c. 13 ne gujiya chuni; d. rasgulla 7 ne chuna; e. 9 ne gulab jamun chuna.

2. Nahi. Table batati hai ki har mithaai kitne students chaahte hain, par kaunsa student kaunsi chaahta hai ye nahi. Wo har mithaai ke neeche students ke naam likh sakte the, ya har naam ke saath uski pasand ki list rakh sakte the.

Figure it Out: joote ke size, ped aur akshar (pages 77–79)

1. a. Sabse bada size 7; b. sabse chhota size 3; c. 10 students size 5 pehente hain; d. 15 students 4 se bada size pehente hain (10 + 4 + 1).

2. Badhte kram mein barabar values ek saath aa jaati hain, isliye sabse bada, sabse chhota aur ginti jaldi padhi ja sakti hai.

3. Haan: har size ke tally marks waali frequency table, ya ghatte kram (descending order) mein.

4. Ped (sample): neem 7, peepal 3, aam 5, bargad 1, ashok 5. Sabse zyada: neem; sabse kam: bargad; barabar sankhya: aam aur ashok (5-5).

5. Akshar (sample): c 14, e 52, i 33, r 29, x 1. a. e; b. x; c. x, c, r, i, e. Zyaadatar classmates ko yahi kram milta hai, kyunki English mein e sabse aam akshar hai aur x sabse kam aane waalon mein se, isliye koi bhi lamba English text yahi pattern dikhaata hai. d–f. Tareeka: har target akshar ke neeche line kheencho, table mein uske saamne tally mark lagaao, tally gino; doosre article ke liye yahi steps.

Pictographs: text ke beech ke sawal (pages 79–83)

School aane ke tareeke: school bus sabse zyada students (11) use karte hain aur cycle sabse kam (3).

Gairhaazir aur haazir students: har student ke liye ek symbol se ‘haazir’ data (har class mein 20 se 35) ke liye lagbhag 200 symbol lagenge, banaane ke liye bahut zyada. Jarina ki 5 ki key aur Sangita ki 10 ki key (aadhe symbol ke saath) ye mushkil hal karti hai.

33 ya 27 students: ek symbol = 10 aur aadha symbol = 5 ho to 33 matlab teen symbol aur 3 aur, aur 27 matlab dhaai symbol aur 2 aur. Ye baaki 3 ya 2 theek-theek nahi dikh sakte; iske liye chhoti key chahiye, jaise ek symbol = 1 student, ya symbol ke aise hisse jo padhne mein mushkil hon.

Figure it Out: pictographs (pages 83–85)

1. Library se li gayi kitaabein (Somvaar 5, Mangalvaar 4, Budhvaar 2, Guruvaar 0, Shukravaar 5, Shanivaar 8): a. Guruvaar (koi kitaab nahi). b. 24 kitaabein. c. Shanivaar (8 kitaabein): students Ravivaar ki chhutti mein padhne ke liye kitaabein le jaate honge.

2. Patangein (ek symbol = 100 patang):

a. 3 symbol. b. Poonam Ben (700). c. Jasmeet (450, Chaman ki 250 ke muqaable). d. Haan: Rani ki 300 ka dugna 600 hai, aur Poonam Ben ne 700 khareedi.

Bar graphs: text ke beech ke sawal (pages 86–89)

Gairhaazir students: 1. Class 2 mein 5 students. 2. Class 8 (7). 3. Class 5 (koi gairhaazir nahi).

Traffic (Figure it Out, page 88):

1. Lagbhag 150 + 1,200 + 1,000 + 800 + 700 + 600 = 4,450 gaadiyan.
2. Subah 6 se 7 baje bahut savera hai; kam log ghar se nikle hote hain, aur dukaanein aur daftar band hote hain.
3. 7 se 8 baje rush hour hai, jab bahut log ek saath kaam, school aur college jaate hain.
4. 8 baje ke baad zyaadatar log kaam ya school pahunch chuke hote hain, isliye har ghante kam gaadiyan chalti hain.

India ki aabaadi: sample sawal: kis dashak mein aabaadi sabse zyada badhi? Pehli baar 50 crore ke paar kab gayi? 50 saal mein ye 102 − 36 = 66 crore badhi. Dashak ke hisaab se: 1951–61, 8 crore; 1961–71, 10; 1971–81, 14; 1981–91, 16; 1991–2001, 18 crore.

Bar graph banaana: text ke beech ke sawal (pages 89–93)

Imran ka parivaar: 1. Sabse zyada khaane pe (₹3,400), uske baad ghar ke kiraaye pe (₹3,000). 2. Haan, bijli (₹400) padhaai (₹800) ka theek aadha hai. 3. Haan, padhaai (₹800) khaane ke ek-chauthaai se kam hai (₹3,400 ÷ 4 = ₹850).

Figure it Out: bar graphs (pages 93–100)

1. Samantha ke keede (1 unit = 1 keeda):

2. Pooja ki tickets: a. 24; b. 20; c. 6 unit 24 dikhaate hain, isliye 1 unit = 4 tickets; d. Sagar (16) ko 4 unit chahiye; e. khadi line pe 0, 4, 8, 12, 16, 20, 24, 28, 32 nishaan karo; f. Seoni (4 unit = 16) sahi hai, par Indore chhota hai: 28 tickets ko 7 unit chahiye.

3. Chinu ki gaadiyon ki list:

Aane-jaane ka saadhan	Frequency
Bike	13
Scooter	9
Cycle	8
Auto rickshaw	8
Car	6
Bus	4
Bailgaadi	2
Kul	50

b. Bike. c. Subah 9 baje se pehle gaadiyon ki kismon ki table bana lo; kisi surakshit jagah khade ho; 10 baje tak har guzarti gaadi ke saamne tally mark lagaao; phir tally gino.

4. Paasa 30 baar (sample): 1 chaar baar aaya, 2 chhah baar, 3 paanch baar, 4 teen baar, 5 saat baar aur 6 paanch baar. a. 4; b. 5; c. 3 aur 6 (5-5 baar). Tumhare nateeje alag honge, kyunki har baar paasa phenkna sanyog ki baat hai.

5. Bumrah ke wickets:

a. Pichhle 30 matchon mein se kitne matchon mein unhone 0, 1, 2, …, 7 wicket liye. b. Jaise, ‘Jaspreet Bumrah ke pichhle 30 matchon mein liye gaye wicket’. c. Jaise, 3 wicket sabse aam nateeja hai (8 match), aur 7 wicket sirf ek baar liye. d. 3 match. e. Nahi. 0 + 1 + … + 7 = 28 jodne mein ye chhoot jaata hai ki har sankhya kitne matchon mein aayi; jaise 8 matchon mein 3-3 wicket hi 24 wicket ho jaate hain. f. Har wicket sankhya ko uske matchon ki sankhya se guna karke jodo: 0 × 2 + 1 × 4 + 2 × 6 + 3 × 8 + 4 × 3 + 5 × 5 + 6 × 1 + 7 × 1 = 90 wickets.

6. Tractor (A 6, B 5, C 8, D 3, E 6): a. Village D. b. Village C. c. 3 zyada. d. Haan: D mein 3 aur E mein 6 hain, aur 3, 6 ka aadha hai.

7. Ladkiyan (ek symbol = 4 ladkiyan; Class 1 se 8 mein 24, 18, 20, 14, 10, 16, 12 aur 6): a. Class 8 (6). b. 16 − 10 = 6. c. Class 2 mein 20 ladkiyan hongi, to uska aadha symbol poora ho jaayega (5 poore symbol). d. 12 ladkiyan.

8. Mudhol Hounds: a. Ek symbol = 6 kutte, kyunki har sankhya 6 ka multiple hai. b. Village B ke liye 6 symbol. c. Haan: B aur D mein 36 + 48 = 84 kutte hain, baaki chaar gaon ke 18 + 12 + 18 + 24 = 72 se zyada.

9. Khaali samay ki gatividhiyan (1 unit = 5 students): bars ki lambaai 9, 6, 4, 2 aur 3 unit. Khelne ke baad kahaani ki kitaabein padhna (30) sabse pasandeeda hai.

10. Paudhe (Somvaar lagbhag 50, Mangalvaar 40, Budhvaar 30, Guruvaar 40, Shukravaar 50, Shanivaar 60, Ravivaar 40): a. 70 (30 + 40). b. Lagbhag 310. Somvaar ki bar 50 ki line se thoda upar (lagbhag 52) khatm hoti hai, isliye kul 310 se 312; NCERT ki key 310 deti hai. c. Sabse zyada Shanivaar ko, sabse kam Budhvaar ko. Sambhav kaaran: Shanivaar aadha din ya chhutti ho sakti hai aur madad karne waale zyada; Budhvaar ko baarish, test ya kam paudhe aaye hon. Jaanchne ke liye paudhe lagwaane waale teachers se poochho, haaziri aur mausam ke record dekho, ya agli baar ye baatein likh kar rakho.

11. Baagh: table se milaane pe 2006 ki bar 1,400 ki jagah lagbhag 800 aur 2010 ki bar 1,700 ki jagah lagbhag 1,500 dikhaati hai, aur 2014 aur 2018 ki bars aapas mein badal gayi hain (2014 lagbhag 3,000 aur 2018 lagbhag 2,200 dikhaata hai). Sirf 2022 (3,700) sahi hai. Sudhaara hua graph:

Artistic and aesthetic considerations (pages 101–105)

Everest aur Kosciuszko: 8,848 − 2,228 = 6,620 m ooncha. Denali aur Kilimanjaro: 6,194 − 5,895 = 299 m, isliye ye zyada alag nahi. 5,642 × 2 = 11,284, isliye Everest (8,848 m) Elbrus ka dugna ooncha nahi, bhale infographic aisa dikhaaye. (Book mein Australia ke pahaad ki spelling ‘Koscuiszko’ hai; aam spelling Kosciuszko hai.)

Figure it Out

1. Khadi bars, kyunki oonchaai zameen se upar naapi jaati hai, isliye columns khade logon jaise lagte hain.
2. Leti bars, kyunki nadi ki lambaai zameen ke saath hoti hai. Extra (lagbhag lambaai, jo alag sources mein thodi alag hai): Africa, Nile, lagbhag 6,650 km; South America, Amazon, lagbhag 6,400 km; Asia, Yangtze, lagbhag 6,300 km; North America, Missouri ke saath Mississippi, lagbhag 6,275 km; Europe, Volga, lagbhag 3,530 km; Australia, Murray, lagbhag 2,500 km; Antarctica mein koi badi nadi nahi. Sabse lambi nadiyan Africa aur South America mein hain.

Aur practice ke liye padho tally marks kaise banayein, pictograph kya hai aur bar graph kaise banayein.