Download App

Statistics — Mathematics STD 10 — Question

ICSE BoardEnglish MediumSTD 10MathematicsStatistics5 Marks
Question
The marks obtained by $100$ students in a Mathematics test are given below:
Marks $0 - 10$ $10 - 20$ $20 - 30$ $30 - 40$ $40 - 50$ $50 - 60$ $60 - 70$ $70 - 80$ $80 - 90$ $90 - 100$
No. of Students $3$ $7$ $12$ $17$ $23$ $14$ $9$ $6$ $5$ $4$
Draw an ogive for the given distribution on a graph sheet.
(Use a scale of $2 cm = 10$ units on both axis).
use the ogive to estimate the :
(i) median.
(ii) lower quartile.
(iii) number of students who obtained more than 85% marks in the test.
(iv) number of students who did not pass in the test if the pass percentage was $35.$
✓

Answer

Image

(i) Median $=\left(\frac{ n }{2}\right)^{\text {th }}$ observation
$=\left(\frac{100}{2}\right)^{\text {th }}$ observation
$= 50^{th}$​​​​​​​ observation
$= 45.$
(ii) Lower Quartile $\left( Q _1\right)=\left(\frac{ N }{2}\right)^{ th }$ observation
$=\left(\frac{100}{4}\right)^{\text {th }}$ observation
$= 25^{th}$ observation
$= 32.$
(iii) Number of students who obtained more than $85\%$ marks
$= (100 - 94)$
$= 6.$
(iv) Number of students who did not pass if passing $\%$ of marks is $35$
$= 30.$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "[5 marks sum]" from Statistics→Statistics — all question types→Mathematics STD 10 question papers→ICSE Board STD 10 question papers→ICSE Board question paper generator→

Similar questions

In the given figure, ∠ACE = 43° and ∠CAF = 62° ; Find the values of a, b and c.
→
Payal had Rs 125 shares of 'Asian Chemicals' paying 12% dividend. She sold them at Rs 150 and invested the proceeds in Rs 50 shares of 'Saras Chemicals' at Rs 40 and paying 10% dividend. She thus increased her income by Rs 825. Find the number of shares of 'Asian chemicals' that Payal sold.
→
The following enb·ies are from the saving bank account passbook of Mr. Ratnesh. If the rate of interest paid by the bank is 4. 5°/op.a. calculated at the end of March and September, find the balance in his account at the end of the year.
DateParticularsWithdrawlsDepositsBalance
03.01.2006By B/F 17900.00
09.01.2006To Cash3700.00 14200.00
06.02.2006To Cheque2450.00 11750.00
21.02.2006By Cash 15600.0027350.00
17.03.2006By Cash 9850.0037200.00
31.03.2006By Interest
06.06.2006To Cheque4100.00
22.08.2006To Cash1500.00
05.09.2006By Cheque 17300.00
09.09.2006To Cash6300.00
30.09.2006By Interest
04.12.2006To Cash3000.00
11.12.2006By Cheque 11760.00
→
Construct histograms for following frequency distribution:
Class Interval 0-10 10-20 20-30 30-40 40-50 50-60
Frequency 8 20 34 22 10 6
→
A retailer buys an article at a discount of 20% on the listed price from a wholesaler. The shopkeeper marks up the price by 10% on the listed price. A buyer pays Rs 231 to get it after paying a sales tax at the rate of 5% on the price asked for. Find the profit percentage.
→
Find the coordinate of $O$, the centre of a circle passing through $P(3,0), Q(2, \sqrt{5})$ and $R(-2 \sqrt{2}$ $,-1)$. Also find its radius.
→
Gopal  has some Rs.100 shares of company A, paying 10% dividend. He sells a certain number of these shares at a discount of 20% and invests the proceeds in Rs.100 shares at Rs.60 of company B paying 20% dividend. If his income, from the shares sold, increases by Rs.18,000, find the number of shares sold by Gopal.
→
Prove that the points $A(-5, 4), B(-1, -2)$ and $C(S, 2)$ are the vertices of an isosceles right-angled triangle. Find the coordinates of D so that ABCD is a square.
→
A man in a boat rowing away from a lighthouse 180 m high takes 2 minutes to change the angle of elevation of the top of the lighthouse from 60° and 30°. Find the speed of the boat.
→
A box contains some black balls and $30$ white balls. If the probability of drawing a black ball is two-fifths of a white ball, find the number of black balls in the box.
→