Vidaara.orgClass 10 · Mathematics
CodeVID-M10-12-CUM-01
Cumulative Frequency — 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.
Cumulative frequency is the:
- A.highest frequency
- B.running total
- C.class mark
- D.range
2.
A "less than" ogive uses:
- A.lower limits
- B.upper class limits
- C.class marks
- D.frequencies
3.
The median is read from the:
- A.histogram
- B.ogive
- C.bar graph
- D.pie chart
4.
The last cumulative frequency equals:
- A.$0$
- B.$N$
- C.the mode
- D.the mean
5.
The two ogives intersect at the:
- A.mean
- B.median
- C.mode
- D.origin
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
For frequencies $3,5,7$, write the cumulative frequencies.
7.
If $N=40$, the median corresponds to which value?
8.
What letter denotes the total of all frequencies?
9.
At what value do we drop a perpendicular on a less-than ogive to find the median?
Section C — Short Answer (3 marks)
4 × 3 = 12 marks
10.
For classes $0$–$10,10$–$20,20$–$30$ with $f=4,6,10$, write the cumulative frequencies.
11.
If $N=50$, find $N/2$ and state which value the median corresponds to.
12.
The cumulative frequencies are $5,12,20,30$. Find the frequency of the 3rd class.
13.
Find the median class if the cumulative frequencies are $4,10,18,24$ ($N=24$).
Section D — Long Answer (5 marks)
2 × 5 = 10 marks
14.
Given less-than cumulative frequencies $<10:4,\ <20:10,\ <30:18,\ <40:24$, find the frequency distribution and $N$.
15.
For a distribution with $N=40$, median class $20$–$30$, cf before $=14$, frequency $=12$, class size $10$. Find the median.
Answer Key
Section A — Multiple Choice Questions
- (B) running total
- (B) upper class limits
- (B) ogive
- (B) $N$
- (B) median
Section B — Short Answer (2 marks)
- $3,8,15$.
- The $20$th value ($N/2$).
- $N$.
- At $N/2$.
Section C — Short Answer (3 marks)
- $4,10,20$.
- $25$; the $25$th value.
- $8$.
- The 3rd class (cf just $\ge12$).
Section D — Long Answer (5 marks)
- Frequencies $4,6,8,6$; $N=24$.
- $25$.
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