Statistics and Probability Two Marks Questions

10th Standard EM

    Reg.No. :
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Maths

Time : 00:45:00 Hrs
Total Marks : 20
    10 x 2 = 20
  1. The number of televisions sold in each day of a week are 13, 8, 4, 9, 7, 12, 10. Find its standard deviation.

  2. Find the mean and variance of the first n natural numbers.

  3. 48 students were asked to write the total number of hours per week they spent on watching television. With this information find the standard deviation of hours spent for watching television.

    x 6 7 8 9 10 11 12
    f 3 6 9 13 8 5 4
  4. Marks of the students in a particular subject of a class are given below:

    Marks 0-10 10-20 20-30 30-40 40-50 50-60 60-70
    Number of students 8 12 17 14 9 7 4

    Find its standard deviation.

  5. Two coins are tossed together. What is the probability of getting different faces on the coins?

  6. What is the probability that a leap year selected at random will contain 53 saturdays. (Hint: 366=52 x 7 + 2)

  7. A die is rolled and a coin is tossed simultaneously. Find the probability that the die shows an odd number and the coin shows a head.

  8. Find the standard deviation of 30, 80, 60, 70, 20, 40, 50 using the direct method.

  9. Find the standard deviation for the following data. 5, 10, 15, 20, 25. And also find the new S.D. if three is added to each value.

  10. The marks scored by 5 students in a test for 50 marks are 20, 25, 30, 35, 40. Find the S.D for the marks. If the marks are converted for 100 marks, find the S.D. for newly obtained
    marks.

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