📌 Definitions with Examples
🔹 1. Mean (Average)
👉 Definition (English): The mean is the sum of all observations divided by the number of observations.
👉 Roman Urdu: Mean yaani Average woh hota hai jab hum tamam numbers ka total kar ke unki quantity se divide karte hain.
Example:
Numbers = 2, 4, 6
Mean = (2+4+6)/3 = 12/3 = 4
🔹 2. Median
👉 Definition (English): The median is the middle value when the data is arranged in ascending order.
👉 Roman Urdu: Median woh hota hai jo number data ko chhote se bade order mein likhne ke baad bilkul beech mein aata hai.
Example:
Numbers = 2, 4, 6 → Median = 4
If even numbers of terms → Median = average of two middle values.
🔹 3. Mode
👉 Definition (English): The mode is the value that occurs most frequently in the data.
👉 Roman Urdu: Mode woh number hota hai jo sabse zyada martaba repeat hota hai.
Example:
Numbers = 2, 4, 4, 6 → Mode = 4
🔹 4. Range
👉 Definition (English): The range is the difference between the largest and the smallest value.
👉 Roman Urdu: Range sabse bara aur sabse chhota number ka farq hota hai.
Example:
Numbers = 2, 4, 6 → Range = 6 − 2 = 4
📘 10 Basic MCQs with Solutions
Q1. Find the mean of 5, 10, 15.
A) 5
B) 10
C) 15
D) 20
✅ Answer: (5+10+15)/3 = 30/3 = 10 → (B)
Q2. Median of 3, 5, 7 is?
A) 3
B) 5
C) 7
D) 15
✅ Answer: Middle value = 5 → (B)
Q3. Mode of 2, 2, 3, 4, 5 is?
A) 2
B) 3
C) 4
D) 5
✅ Answer: 2 (appears most) → (A)
Q4. Range of 8, 12, 20, 5 is?
A) 15
B) 10
C) 20
D) 25
✅ Answer: 20 − 5 = 15 → (A)
Q5. Mean of 2, 4, 6, 8?
A) 4
B) 5
C) 6
D) 8
✅ Answer: (2+4+6+8)/4 = 20/4 = 5 → (B)
Q6. Median of 10, 20, 30, 40?
A) 20
B) 25
C) 30
D) 35
✅ Answer: Even numbers → (20+30)/2 = 25 → (B)
Q7. Mode of 5, 6, 6, 7, 8, 9 is?
A) 6
B) 7
C) 8
D) 9
✅ Answer: 6 (repeated) → (A)
Q8. Range of 11, 15, 19, 25, 5?
A) 20
B) 25
C) 30
D) 40
✅ Answer: 25 − 5 = 20 → (A)
Q9. Mean of 1, 2, 3, 4, 5?
A) 2
B) 3
C) 4
D) 5
✅ Answer: (1+2+3+4+5)/5 = 15/5 = 3 → (B)
Q10. Median of 4, 8, 10, 12, 14?
A) 8
B) 10
C) 12
D) 14
✅ Answer: Middle value = 10 → (B)
📘 10 Advance MCQs with Solutions
Q1. Mean of first 10 natural numbers?
A) 4
B) 5
C) 5.5
D) 6
✅ Answer: (1+10)/2 = 5.5 → (C)
Q2. Median of 5, 10, 15, 20, 25, 30?
A) 15
B) 17.5
C) 20
D) 22.5
✅ Answer: (15+20)/2 = 17.5 → (B)
Q3. Mode of 2, 4, 6, 6, 8, 8, 8, 10?
A) 6
B) 8
C) 10
D) 4
✅ Answer: 8 (appears most) → (B)
Q4. Range of −5, 0, 5, 10, 15?
A) 10
B) 15
C) 20
D) 25
✅ Answer: 15 − (−5) = 20 → (C)
Q5. Mean of 3, 5, 7, 9, 11, 13?
A) 7
B) 8
C) 9
D) 10
✅ Answer: (3+5+7+9+11+13)/6 = 48/6 = 8 → (B)
Q6. Median of first 9 odd numbers?
A) 7
B) 9
C) 11
D) 13
✅ Answer: Middle term = 9 → (B)
Q7. If mean of 6 numbers is 12, then their sum is?
A) 60
B) 66
C) 72
D) 78
✅ Answer: Mean × No. of terms = 12 × 6 = 72 → (C)
Q8. Mode of 10, 20, 20, 30, 40, 40, 40, 50?
A) 20
B) 30
C) 40
D) 50
✅ Answer: 40 → (C)
Q9. Range of 100, 150, 200, 250, 300?
A) 200
B) 150
C) 100
D) 50
✅ Answer: 300 − 100 = 200 → (A)
Q10. The median of the numbers: 8, 12, 14, 16 is:
A) 12
B) 13
C) 14
D) 15
Answer: B) 13
Explanation: For even numbers, Median = (n/2 th + n/2+1 th) ÷ 2 → (12+14) ÷ 2 = 13. ✅
Q11. In a class, the marks of 7 students are:
12, 18, 25, 30, 30, 32, 40
What is the mode of the marks?
A) 30
B) 25
C) 32
D) 40
✅ Answer: A (30)
Explanation:
The most repeated value (highest frequency) = 30
Q12. The average marks of 40 students is 60. If the teacher adds 20 bonus marks to each student, the new average is?
A) 60
B) 65
C) 70
D) 80
✅ Answer: C (80)
Explanation:
New mean = Old mean + Bonus = 60 + 20 = 80
