noteswale
Noteclerical

Data interpretation

Lesson 29 of 113

1. Ye topic hai kya?

Data interpretation = picture ya table pehle se di hui — tum formula invent nahi karte, padhte ho. Mensuration P10 yahi bheja: bar se kitna % — bar ka area nahi, height = value.

Paper yahan kya maangta

Bar height padho. Pie: θ/360 × total. Table row/column jodo, missing cell. Line pe max/min. % of total, ek ka doosre ka %, % change (purana neeche), ratio, kabhi 4 bars ka simple mean.

Yahan kya nahi

CI 0–10, assumed mean, median class, ogive — Statistics. Sikka/pansa P(E) — Probability. Rectangle 8×6=48, path 32 — Mensuration. 6th innings 40 chahiye — Average. 25% of 80 bina chart — Percentage.

Teen sawal har chart pe: (1) seedha padho, (2) hissa / poora × 100, (3) (naya − purana) / purana × 100. Width / sector-area / histogram class yahan jawab nahi.
Units: “in thousand”, “lakh ₹”, “°C” — 40 padha to 40,000 ho sakta. Scale: 1 square = 10 ⇒ 6.5 square = 65, 6.5 nahi. Bar 80-120-160 dikhe to Number series “agla 200” nahi — sirf diye hue 4.

2. Bar — height padho, % of total

Shop sales (lakh ₹): May 80, Jun 120, Jul 160, Aug 40. Kul 400. Jul of total = 160/400 = 40% — yahi Mensuration P10 wala “bar se %”. May of total = 20%. Aug of Jul = 40/160 = 25% (base Jul, total nahi). Jun vs May: (120−80)/80 = 50% badha.

0 40 80 120 160 80 120 160 40 May Jun Jul Aug

Height = sales. Width ignore. Jul sabse ooncha = 160, 40% of 400. 8×6 rectangle 48 yahan nahi. Statistics f=5,8,12 class-interval nahi.

% of total = us bar / sab bars ka sum × 100. % of doosri bar = us / woh bar, total nahi.
Ratio May:Jun:Jul:Aug = 80:120:160:40 = 2 : 3 : 4 : 1. 4 bars ka mean = 400/4 = 100 — cricket “6th pe 40” nahi.
Example

Jul kitna % of total? (Mensuration P10 yahi.)

Solution

  1. Sum

    80+120+160+40 = 400.

  2. 160/400

    0.4 = 40%. Bar ka area 160×width Mensuration nahi. 25% of 80 Percentage alag (bina chart).

Answer40%
Example

Aug, Jul ka kitna %?

Solution

  1. 40/160

    25%. 40/400=10% galat (woh of total). % change Aug vs Jul = (40−160)/160 = −75% — alag sawal.

Answer25%
Example

May se Jun kitna % badha?

Solution

  1. (120−80)/80

    50%. (120−80)/120 = 33⅓% galat (naya neeche). +20 then −20 = −4% Percentage pe, yahan ek jump.

Answer50%

3. Pie — kona / 360 × total

Poora chakra = 360° = 100% = jo total diya. Budget ₹720. Salary 90°, Rent 72°, Raw 126°, Misc 72°. Check: 90+72+126+72=360.

Salary = 90/360 × 720 = 180. Raw = 126/360 × 720 = 252. Rent = Misc = 72/360 × 720 = 144 (180+144+252+144=720).

Bina total bhi: Salary % = 90/360 × 100 = 25%. Raw % = 126/360 × 100 = 35%. Ratio Salary : Rent = 90 : 72 = 5 : 4 — total cancel.

Sal 90° Rent 72° Raw 126° Misc 72° total 720

90° = ek chauthaai chakra = 25% = 180. Sector leftover Areas-related (r=14, 90°) nahi — wahan πr² ka hissa, yahan paisa ka hissa.

Rashi = (kona / 360) × total. % = (kona / 360) × 100 — total ki zaroorat nahi.
Do sectors ka ratio = unke kone ka ratio. 90° sector ka area of pizza nahi poochha.
Example

Salary kitna ₹?

Solution

  1. 90/360 × 720

    180. 90 seedha 90 rupee mat. 25% of 80 = 20 Percentage — yahan 25% of 720 = 180.

Answer180
Example

Salary : Rent?

Solution

  1. 90:72

    5:4. 8:12:15 Ratio chapter chain nahi. Venn overlap nahi.

Answer5:4

4. Table, line, do bars, scale

Table = numbers already likhe. Row jodo, column jodo, % change usi crop ke purane pe.

Crop20232024
Bajra4554
Jowar3042
Moong2524

2023 kul 100, 2024 kul 120. Bajra +20% (9/45). Jowar +40%. Moong −4% (1/25). Bajra 2024 ka share 54/120 = 45%. 2023 Bajra:Jowar = 3:2. Frequency table 0–10, f=5,8,12 — Statistics, yahan crops ke tonnes.

Missing cell: teen known 120+150+80=350, grand total 500 ⇒ missing 150. Ogive pe y=n/2 se median nahi.

35 28 42 70 56 2019 2020 2021 2022 2023

Max 2022 = 70. Min 2020 = 28. Farq 42. 2020→2022: 42/28 = 150% badha. AP agla term nahi. Applications tower tan 30° nahi.

Do series (A vs B, 3 saal): A = 20, 35, 30. B = 25, 28, 40. A > B sirf saal-2 (35>28). A kul 85, B 93. TSD 20 & 30 avg 24 nahi — yahan production padhi.

Scale: 1 square = 10, bar 6.5 square ⇒ 65. 6.5 mat likho. Bar ki width × height area Mensuration. Histogram class-width Statistics. Fair die 1/6 Probability — pie se “random rupee” bhi paper kabhi poochhe; Class-X DI mein usually rashi/%/ratio, P(E) nahi. 80-120-160 ko series “200” mat.
Example

Bajra 2023 se 2024 kitna % badha?

Solution

  1. 9/45

    20%. 9/54 galat. 8000 pe +10+20 Percentage population nahi.

Answer20%
Example

Line pe sabse zyada tourists kis saal?

Solution

  1. Ooncha point

    2022, 70. 2023 56 neeche. Mean/median ogive nahi.

Answer2022 (70)
Example

1 square = 10 unit, bar 6.5 square. Value?

Solution

  1. 6.5×10

    65. Area of bar nahi.

Answer65

5. Sawal — basic se pro

Q1–Q4 isi bar (May 80, Jun 120, Jul 160, Aug 40, kul 400). Q5 pie 720. Q6 table Bajra. Q7 line. Q8 A vs B. Q9 scale. Q10 area clone nahi.

Q1 · Basic

May kitna % of total?

  1. 20%
  2. 40%
  3. 25%
  4. 80%

Solution

  1. 80/400

    20%. B Jul. D height ko % maan liya.

Answer20%
Q2 · Basic

Jul kitna % of total?

  1. 40%
  2. 160%
  3. 20%
  4. 48%

Solution

  1. 160/400

    40%. D Mensuration 48 mix. B 160 ko % likh diya.

Answer40%
Q3 · Basic

Aug, Jul ka kitna %?

  1. 25%
  2. 10%
  3. 40%
  4. 75%

Solution

  1. 40/160

    25%. B 40/400. C 40 height. D decrease 75% alag.

Answer25%
Q4 · Medium

May se Jun % increase?

  1. 50%
  2. 40%
  3. 33⅓%
  4. 20%

Solution

  1. 40/80

    50%. C naya 120 neeche. D Bajra table mix.

Answer50%
Q5 · Medium

Pie, total 720, Salary 90°. Rashi?

  1. 180
  2. 90
  3. 25
  4. 720

Solution

  1. 90/360 × 720

    180. B kona. C sirf 25% likh, rashi nahi.

Answer180
Q6 · Medium

Bajra 45 → 54. % badha?

  1. 20%
  2. 9%
  3. 16⅔%
  4. 45%

Solution

  1. 9/45

    20%. C 9/54. D 2024 share 45% alag.

Answer20%
Q7 · Pro

Line tourists: 35, 28, 42, 70, 56. Maximum?

  1. 70 (2022)
  2. 56 (2023)
  3. 42 last-but-one
  4. mean 46.2

Solution

  1. Ooncha

    70. D Statistics mean. B last year trap.

Answer70 (2022)
Q8 · Pro

A = 20, 35, 30. B = 25, 28, 40. Kis saal A > B?

  1. Sirf saal-2
  2. Saal-1
  3. Saal-3
  4. Kabhi nahi

Solution

  1. 35>28

    Sirf 2. Saal-1 20<25, saal-3 30<40. Harmonic 20&30 TSD nahi.

AnswerSirf saal-2
Q9 · Pro

1 square = 10, height 6.5 square. Padho?

  1. 65
  2. 6.5
  3. 16.5
  4. area 65×bar-width

Solution

  1. ×10

    65. D Mensuration. B scale bhool.

Answer65
Q10 · Pro

Rectangle 8 m × 6 m, area 48. Is chapter?

  1. Nahi — Mensuration
  2. Haan, bar area 48
  3. Jul = 48%
  4. Path 32 graph

Solution

  1. l×b

    A. Chart ki height padho, rectangle ka area wahan.

AnswerA

Practice

Pehle khud, phir neeche kholo.

12345 678910

P1

May : Aug?

  1. 2:1
  2. 1:2
  3. 80:400
  4. 8:6

Solution

  1. 80:40

    2:1. D Mensuration sides. C of total mix.

Answer2:1
P2

4 months ka average sales?

  1. 100
  2. 400
  3. 40 (cricket need)
  4. 25.75 grouped mean

Solution

  1. 400/4

    100. C Average innings. D Statistics table.

Answer100
P3

Pie Raw 126°, total 720. Rashi?

  1. 252
  2. 126
  3. 35
  4. 180

Solution

  1. 126/360 × 720

    252. C sirf 35%. D Salary.

Answer252
P4

Salary : Rent pie?

  1. 5:4
  2. 90:72 unsimplified only
  3. 8:12:15
  4. 1:1 with Misc ignore Rent

Solution

  1. 90:72

    5:4. C Ratio chain alag.

Answer5:4
P5

Jowar 2024, us saal ke total ka kitna %? (total 120)

  1. 35%
  2. 42%
  3. 40%
  4. 30%

Solution

  1. 42/120

    35%. B 42 ko %. C Jowar ka % increase.

Answer35%
P6

Line pe minimum tourists?

  1. 28 (2020)
  2. 35 (2019)
  3. 70
  4. ogive n/2

Solution

  1. Sabse neeche

    28. D Statistics.

Answer28 (2020)
P7

Teen cells 120, 150, 80. Grand total 500. Missing?

  1. 150
  2. 350
  3. 500
  4. median class 20–30

Solution

  1. 500−350

    150. D Statistics CI.

Answer150
P8

Less-than ogive, y = n/2 se median. Is chapter?

  1. Nahi — Statistics
  2. Haan, line graph median
  3. Bar mean 100
  4. Pie 180 median

Solution

  1. cf curve

    A.

AnswerA
P9

Do coins, P(at least one H)=3/4. Is chapter?

  1. Nahi — Probability
  2. Haan, pie 3/4
  3. Cricket 40 chahiye
  4. 25% of 80

Solution

  1. n(E)/n(S)

    A. C Average. D Percentage.

AnswerA
P10

Rajasthan unification / dynasties. Is chapter?

  1. Nahi — GK, agla block
  2. Haan, pie of kingdoms
  3. Bar of forts
  4. Table of 1949

Solution

  1. History

    A. Agle GK page: riyasat, dynasty, 7 stages.

AnswerA

← Index · Mensuration · Statistics · Percentage

Agle topic: Rajasthan history / unification / dynasties.