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Vidaara.orgClass 6 · Mathematics
CodeVID-M06-07-BPH-01
Box Plots & Histograms - Assignment
Chapter: Statistics
Topic: Interpreting Box Plots and Histograms
Maximum Marks: 35
Time: 75 minutes
Name: ____________________ Roll No.: __________ Date: ____________

General Instructions

  • All questions are compulsory.
  • Section A carries 1 mark each, Section B 2 marks, Section C 3 marks and Section D 5 marks.
  • Show all working for Sections B, C and D. Only final answers are given at the end — for full solutions, raise your doubts with your teacher.
Section A — Multiple Choice Questions 5 × 1 = 5 marks
1.
A histogram displays ___ data.
  • A.grouped (continuous)
  • B.single
  • C.categorical only
  • D.no
2.
A box plot shows the:
  • A.mean only
  • B.five-number summary
  • C.mode only
  • D.total
3.
The IQR is:
  • A.$Q_3-Q_1$
  • B.$\max-\min$
  • C.$Q_1-Q_3$
  • D.$Q_2$
4.
The median divides the data into how many halves?
  • A.$1$
  • B.$2$
  • C.$3$
  • D.$4$
5.
In a histogram, between the bars there are:
  • A.large gaps
  • B.no gaps
  • C.dotted lines
  • D.curves
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Which graph has no gaps between bars?
7.
How many key values does a box plot show?
8.
The IQR equals $Q_3$ minus what?
9.
The middle value of ordered data is the:
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
If $Q_1=5$ and $Q_3=13$, find the IQR.
11.
The minimum is $4$ and the maximum is $19$. Find the range.
12.
For $2, 4, 6, 8, 10$, find the median.
13.
Which graph is used for data grouped into intervals?
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
For the data $3, 5, 7, 9, 11, 13, 15$, find the five-number summary, the IQR and the range.
15.
A histogram shows intervals $0\text{--}10, 10\text{--}20, 20\text{--}30$ with frequencies $4, 9, 6$. State which interval has the most data and the total number of observations.

Answer Key

Section A — Multiple Choice Questions
  1. (A) grouped (continuous)
  2. (B) five-number summary
  3. (A) $Q_3-Q_1$
  4. (B) $2$
  5. (B) no gaps
Section B — Short Answer (2 marks)
  1. A histogram.
  2. $5$.
  3. $Q_1$.
  4. Median.
Section C — Short Answer (3 marks)
  1. $8$.
  2. $15$.
  3. $6$.
  4. A histogram.
Section D — Long Answer (5 marks)
  1. Min $3$, $Q_1=5$, median $9$, $Q_3=13$, max $15$; IQR $8$; range $12$.
  2. $10\text{--}20$ (frequency $9$); total $19$.
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