STD - 10 MATHS JANAUARY WEEK - 3 REVISION TEST 2023





STD                : 10

SUBJECT     : MATHS

TITLE             : REVISION

SUB TITLE    :  8. STATISTICS AND PROBABILITY

DATE             : 18.01.2023 to 20.01.2023


 கல்வி சார்ந்த தகவல்களுக்கு நமது சமூக வலை தளங்களான

          

 KANI MATHS Educational Group -ல்  இணைந்து கொள்ளலாம்.


2 Mark Question :

1.     Find the range and coefficient of range of the following data: 25,67,48,53,18,39,44.

2.    Find the range and coefficient of range of the following data.

  63, 89, 98, 125, 79, 108, 117, 68.

3.    Find the standard deviation of first 21 natural numbers.

4.   If , then calculate the coefficient of variation

5.    A coin is tossed thrice. What is the probability of getting two consecutive tails?

6.    If P(A)=0.37, P(B)=0.42, P(A∩B)=0.09, then find P(AUB).

7.    If A and B are two mutually exclusive events of a random experiment and P (not A) = 0.45,  P(AUB) = 0.65, then find P(B).

 

5 Mark Question :

1.    Find the variance and standard deviation of the wages of 9 workers given below: Rs.310, Rs.290, Rs.320, Rs.280, Rs.300, Rs.290, Rs.320, Rs.310, Rs.280.

2.    The mean and variance of seven observations are 8 and 16 respectively. If five of these are  2, 4, 10, 12 and 14, then find the remaining two observations.

3.    Find the coefficient of variation of 24, 26, 33, 37, 29, 31.

4.    A bag contains 6 green balls, some black and red balls. Number of black balls is as twice as the number of red balls. Probability of getting a green ball is thrice the probability of getting a red ball. Find (i) number of black balls (ii) total number of balls.

5.     Two unbiased dice are rolled once. Find the probability of getting (i) the doublet (equal numbers on both dice) (ii) the product as a prime number (iii) the sum as a prime number (iv) the sum as 1

6.    A and B are two candidates seeking admission to IIT. The probability that A getting selected  is 0.5 and the probability that both A and B getting selected is 0.3. Prove that the probability of VB being selected is at most 0.8.

 

 

 

 

 

 

8 Mark Question :

1.    Nishanth is the winner in a Marathon race of 12 km distance. He ran at the uniform speed of 12 km/hr and reached the destination in 1 hour. He was followed by Aradhana, Ponmozhi,  Jeyanth, Sathya and Swetha with their respective speed of 6 km/hr, 4 km/hr, 3 km/hr and 2 km/hr. And, they covered the distance in 2 hrs, 3 hrs, 4 hrs and 6 hours respectively. Draw the speed-time graph and use it to find the time taken to Kaushik with his speed of 2.4 km/hr.

2.    . A garment shop announces a flat 50% discount on every purchase of items for their customers. Draw the graph for the relation between the Marked Price and the Discount.Hence find (i) the marked price when a customer gets a discount of ₹3250 (from graph) (ii) the discount when the marked price is ₹2500

    Construct a ΔPQR such that QR=6.5cm, ÐP=60° and the altitude from P to QR is of length 4.5cm.

4.    Draw a tangent to the circle from the point P having radius 3.6cm, and centre at O. Point P is at a  distance 7.2cm from the centre.


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