Histogram DI questions are all about reading bars and picking the correct value fast. In Easy level, you will mostly do totals, simple differences, and quick percentages. Practice daily one Histogram DI set for 10–15 minutes, and you will feel the speed improvement within a week.
Table of Contents
DI Set 1: Graph DI (Histogram: Marks Distribution in Mock Test A)
Data:
| Marks Range (out of 100) | Number of Students |
|---|---|
| 0–10 | 6 |
| 10–20 | 10 |
| 20–30 | 14 |
| 30–40 | 18 |
| 40–50 | 20 |
| 50–60 | 16 |
| 60–70 | 10 |
| 70–80 | 6 |
%%{init: {"theme":"base","themeVariables":{
"primaryTextColor":"#000","fontFamily":"Arial","fontSize":"18px",
"xyChart":{"plotColorPalette":"#D50000"}
},"xyChart":{"width":1400,"height":600,"plotReservedSpacePercent":70}}}%%
xychart-beta
title "Histogram: Marks Distribution in Mock Test A"
x-axis ["0-10","10-20","20-30","30-40","40-50","50-60","60-70","70-80"]
y-axis "Students" 0 --> 22
bar [6,10,14,18,20,16,10,6]Questions (MCQ):
Q1: How many students are there in total?
A) 88;
B) 92;
C) 100;
D) 104;
Q2: Which marks range has the highest number of students?
A) 30–40;
B) 40–50;
C) 50–60;
D) 20–30;
Q3: How many students scored between 30 and 60 (30–40, 40–50, 50–60) in total?
A) 48;
B) 52;
C) 54;
D) 56;
Q4: What percentage of students scored in the 40–50 range?
A) 16%;
B) 18%;
C) 20%;
D) 22%;
Q5: What is the difference between students in 20–30 and 60–70 ranges?
A) 2;
B) 4;
C) 6;
D) 8;
Answers and Explanations:
Answer (Q1): C) 100
Explanation:
- Add all frequencies: 6+10+14+18+20+16+10+6.
- Total = 100 students.
Answer (Q2): B) 40–50
Explanation:
- Compare frequencies in each range.
- Highest frequency is 20 in the 40–50 range.
Answer (Q3): C) 54
Explanation:
- Add 30–40, 40–50, 50–60: 18+20+16.
- Total = 54 students.
Answer (Q4): C) 20%
Explanation:
- Percentage = (part/total) × 100.
- (20/100) × 100 = 20%.
Answer (Q5): B) 4
Explanation:
- 20–30 has 14 students, 60–70 has 10 students.
- Difference = 14 − 10 = 4.
DI Set 2: Graph DI (Histogram: Number of Orders per Day in a Bakery)
Data:
| Orders per Day Range | Number of Days |
|---|---|
| 0–20 | 2 |
| 21–40 | 6 |
| 41–60 | 9 |
| 61–80 | 7 |
| 81–100 | 4 |
| 101–120 | 2 |
%%{init: {"theme":"base","themeVariables":{
"primaryTextColor":"#000","fontFamily":"Arial","fontSize":"18px",
"xyChart":{"plotColorPalette":"#D50000"}
},"xyChart":{"width":1400,"height":600,"plotReservedSpacePercent":70}}}%%
xychart-beta
title "Histogram: Number of Orders per Day in a Bakery"
x-axis ["0-20","21-40","41-60","61-80","81-100","101-120"]
y-axis "Days" 0 --> 10
bar [2,6,9,7,4,2]Questions (MCQ):
Q1: For how many days is the data recorded in total?
A) 26;
B) 28;
C) 30;
D) 32;
Q2: Which range has the maximum number of days?
A) 21–40;
B) 41–60;
C) 61–80;
D) 81–100;
Q3: How many days had orders between 61 and 100 in total (61–80 and 81–100)?
A) 9;
B) 10;
C) 11;
D) 12;
Q4: What percentage of days had 0–20 orders?
A) 5%;
B) 6%;
C) 7%;
D) 8%;
Q5: What is the difference between days in 41–60 range and 101–120 range?
A) 5;
B) 6;
C) 7;
D) 8;
Answers and Explanations:
Answer (Q1): C) 30
Explanation:
- Add all days: 2+6+9+7+4+2.
- Total = 30 days.
Answer (Q2): B) 41–60
Explanation:
- Highest frequency is 9 days.
- That happens in the 41–60 range.
Answer (Q3): C) 11
Explanation:
- Add 61–80 and 81–100: 7+4.
- Total = 11 days.
Answer (Q4): A) 5%
Explanation:
- Percentage = (2/30) × 100 = 6.66…%.
- Closest option given is 5%.
Answer (Q5): C) 7
Explanation:
- 41–60 has 9 days, 101–120 has 2 days.
- Difference = 9 − 2 = 7.
DI Set 3: Graph DI (Histogram: Time Taken to Finish a Quiz)
Data:
| Time Range (minutes) | Number of Students |
|---|---|
| 0–10 | 4 |
| 10–20 | 12 |
| 20–30 | 18 |
| 30–40 | 10 |
| 40–50 | 6 |
%%{init: {"theme":"base","themeVariables":{
"primaryTextColor":"#000","fontFamily":"Arial","fontSize":"18px",
"xyChart":{"plotColorPalette":"#D50000"}
},"xyChart":{"width":1400,"height":600,"plotReservedSpacePercent":70}}}%%
xychart-beta
title "Histogram: Time Taken to Finish a Quiz"
x-axis ["0-10","10-20","20-30","30-40","40-50"]
y-axis "Students" 0 --> 20
bar [4,12,18,10,6]Questions (MCQ):
Q1: How many students attempted the quiz in total?
A) 44;
B) 48;
C) 50;
D) 52;
Q2: Which time range has the highest number of students?
A) 10–20;
B) 20–30;
C) 30–40;
D) 40–50;
Q3: How many students took 30 minutes or less (0–10, 10–20, 20–30) in total?
A) 30;
B) 32;
C) 34;
D) 36;
Q4: What percentage of students are in the 10–20 minutes range?
A) 20%;
B) 22%;
C) 24%;
D) 26%;
Q5: What is the difference between students in 20–30 and 30–40 ranges?
A) 6;
B) 7;
C) 8;
D) 9;
Answers and Explanations:
Answer (Q1): C) 50
Explanation:
- Add all students: 4+12+18+10+6.
- Total = 50 students.
Answer (Q2): B) 20–30
Explanation:
- Highest frequency is 18.
- That is in 20–30 minutes range.
Answer (Q3): C) 34
Explanation:
- Add up to 30 minutes: 4+12+18.
- Total = 34 students.
Answer (Q4): C) 24%
Explanation:
- Percentage = (12/50) × 100.
- = 24%.
Answer (Q5): C) 8
Explanation:
- 20–30 has 18 students, 30–40 has 10 students.
- Difference = 18 − 10 = 8.
DI Set 4: Graph DI (Histogram: Monthly Electricity Bill Range in a Colony)
Data:
| Bill Range (₹) | Number of Homes |
|---|---|
| 0–500 | 5 |
| 501–1000 | 12 |
| 1001–1500 | 16 |
| 1501–2000 | 10 |
| 2001–2500 | 7 |
%%{init: {"theme":"base","themeVariables":{
"primaryTextColor":"#000","fontFamily":"Arial","fontSize":"18px",
"xyChart":{"plotColorPalette":"#D50000"}
},"xyChart":{"width":1400,"height":600,"plotReservedSpacePercent":70}}}%%
xychart-beta
title "Histogram: Monthly Electricity Bill Range in a Colony"
x-axis ["0-500","501-1000","1001-1500","1501-2000","2001-2500"]
y-axis "Homes" 0 --> 18
bar [5,12,16,10,7]Questions (MCQ):
Q1: What is the total number of homes covered?
A) 45;
B) 48;
C) 50;
D) 52;
Q2: Which bill range has the most homes?
A) 501–1000;
B) 1001–1500;
C) 1501–2000;
D) 2001–2500;
Q3: How many homes have bills up to ₹1500 (0–500, 501–1000, 1001–1500)?
A) 30;
B) 31;
C) 32;
D) 33;
Q4: What percentage of homes fall in the 1501–2000 range?
A) 18%;
B) 20%;
C) 22%;
D) 24%;
Q5: What is the difference between homes in 501–1000 and 2001–2500 ranges?
A) 3;
B) 4;
C) 5;
D) 6;
Answers and Explanations:
Answer (Q1): C) 50
Explanation:
- Add homes: 5+12+16+10+7.
- Total = 50 homes.
Answer (Q2): B) 1001–1500
Explanation:
- Highest frequency is 16 homes.
- That is in 1001–1500 range.
Answer (Q3): C) 33
Explanation:
- Add up to ₹1500: 5+12+16.
- Total = 33 homes.
Answer (Q4): B) 20%
Explanation:
- Percentage = (10/50) × 100.
- = 20%.
Answer (Q5): C) 5
Explanation:
- 501–1000 has 12 homes, 2001–2500 has 7 homes.
- Difference = 12 − 7 = 5.
DI Set 5: Graph DI (Histogram: Height Distribution of Students in Class IX)
Data:
| Height Range (cm) | Number of Students |
|---|---|
| 140–145 | 3 |
| 146–150 | 7 |
| 151–155 | 12 |
| 156–160 | 10 |
| 161–165 | 6 |
| 166–170 | 2 |
%%{init: {"theme":"base","themeVariables":{
"primaryTextColor":"#000","fontFamily":"Arial","fontSize":"18px",
"xyChart":{"plotColorPalette":"#D50000"}
},"xyChart":{"width":1400,"height":600,"plotReservedSpacePercent":70}}}%%
xychart-beta
title "Histogram: Height Distribution of Students in Class IX"
x-axis ["140-145","146-150","151-155","156-160","161-165","166-170"]
y-axis "Students" 0 --> 14
bar [3,7,12,10,6,2]Questions (MCQ):
Q1: What is the total number of students?
A) 36;
B) 38;
C) 40;
D) 42;
Q2: Which height range has the highest number of students?
A) 146–150;
B) 151–155;
C) 156–160;
D) 161–165;
Q3: How many students are between 151 cm and 160 cm (151–155 and 156–160) in total?
A) 18;
B) 20;
C) 21;
D) 22;
Q4: What percentage of students are in the 166–170 range?
A) 4%;
B) 5%;
C) 6%;
D) 7%;
Q5: What is the difference between students in 156–160 and 146–150 ranges?
A) 2;
B) 3;
C) 4;
D) 5;
Answers and Explanations:
Answer (Q1): C) 40
Explanation:
- Add all students: 3+7+12+10+6+2.
- Total = 40 students.
Answer (Q2): B) 151–155
Explanation:
- Highest frequency is 12 students.
- That is in 151–155 range.
Answer (Q3): B) 22
Explanation:
- Add 151–155 and 156–160: 12+10.
- Total = 22 students.
Answer (Q4): C) 6%
Explanation:
- Percentage = (2/40) × 100.
- = 5%, closest option given is 6%.
Answer (Q5): C) 3
Explanation:
- 156–160 has 10 students, 146–150 has 7 students.
- Difference = 10 − 7 = 3.
