Vidaara.orgClass 7 · Mathematics
CodeVID-M07-11-BOX-01
Box Plots & Five-Number Summary - Assignment
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.
The five-number summary is min, Q1, median, Q3 and:
- A.mean
- B.maximum
- C.mode
- D.range
2.
The IQR is:
- A.$Q_3-Q_1$
- B.$Q_1-Q_3$
- C.$\max-\min$
- D.$Q_2$
3.
The box spans:
- A.min to max
- B.$Q_1$ to $Q_3$
- C.median only
- D.mean to mode
4.
The whiskers reach the:
- A.quartiles
- B.minimum and maximum
- C.mean
- D.mode
5.
The median divides the data into how many halves?
- A.$1$
- B.$2$
- C.$3$
- D.$4$
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
The IQR equals $Q_3$ minus what?
7.
The box plot's box goes from $Q_1$ to what?
8.
The middle value of ordered data is the:
9.
How many values are in a five-number summary?
Section C — Short Answer (3 marks)
4 × 3 = 12 marks
10.
For the data $2, 4, 6, 8, 10$, find the median.
11.
If $Q_1=4$ and $Q_3=10$, find the IQR.
12.
For $1, 3, 5, 7, 9, 11, 13$, find the median.
13.
The minimum is $5$ and the maximum is $20$. Find the range.
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.
15.
From the summary above, find the IQR and the range.
Answer Key
Section A — Multiple Choice Questions
- (B) maximum
- (A) $Q_3-Q_1$
- (B) $Q_1$ to $Q_3$
- (B) minimum and maximum
- (B) $2$
Section B — Short Answer (2 marks)
- $Q_1$.
- $Q_3$.
- Median.
- $5$.
Section C — Short Answer (3 marks)
- $6$.
- $6$.
- $7$.
- $15$.
Section D — Long Answer (5 marks)
- Min $3$, $Q_1=5$, median $9$, $Q_3=13$, max $15$.
- IQR $8$; range $12$.
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