Statistics and Probability Additional One Mark Online Test

Statistics and Probability Additional One Mark Online Test (10th Standard Mathematics)

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If the largest value in a data set is \(85\) and its range is \(38\), what is the smallest value in the data set?

A.\(47\) B.\(123\) C.\(38\) D.\(57\)

If the standard deviation of a set of observations is \(4.2\) and each observation is increased by \(3.5\), what is the standard deviation of the new set of observations?

A.\(7.7\) B.\(4.2\) C.\(1.2\) D.\(14.7\)

If the variance of a set of observations is \(9\), and each observation is multiplied by \(3\), what is the standard deviation of the new set of observations?

A.\(9\) B.\(27\) C.\(81\) D.\(3\)

Find the coefficient of variation of a data set if its mean is \(20\) and its standard deviation is \(5\).

A.\(25\%\) B.\(400\%\) C.\(15\%\) D.\(4\%\)

Two groups A and B have coefficients of variation \(12.5\%\) and \(18.2\%\) respectively. Which of the following statements is true regarding their consistency?

A.Group B is more consistent than Group A B.Group A is more consistent than Group B C.Both groups are equally consistent D.Consistency cannot be compared using coefficient of variation

What is the sum of the probability of a sure event and the probability of an impossible event?

A.\(0\) B.\(0.5\) C.\(1\) D.\(2\)

If the probability of occurrence of an event \(E\) is \(0.35\), what is the probability of the complement event \(\overline{E}\)?

A.\(0.35\) B.\(0.65\) C.\(1.35\) D.\(-0.35\)

Three unbiased coins are tossed simultaneously. What is the probability of getting at least two heads?

A.\(\frac{1}{2}\) B.\(\frac{3}{8}\) C.\(\frac{7}{8}\) D.\(\frac{1}{4}\)

For any two events \(A\) and \(B\), if \(P(A) = 0.5\), \(P(B) = 0.4\), and \(P(A \cup B) = 0.7\), what is \(P(A \cap B)\)?

A.\(0.2\) B.\(0.9\) C.\(0.1\) D.\(0.3\)

Q10

If \(A\) and \(B\) are two mutually exclusive events such that \(P(A) = 0.3\) and \(P(B) = 0.4\), what is \(P(A \cup B)\)?

A.\(0.7\) B.\(0.12\) C.\(0.1\) D.\(0.5\)

Q11

What is the variance of the first \(5\) natural numbers?

A.\(2\) B.\(3\) C.\(2.5\) D.\(1.5\)

Q12

When two fair dice are rolled together, what is the total number of sample points in the sample space?

A.\(12\) B.\(36\) C.\(6\) D.\(18\)

Q13

What is the probability that a non-leap year selected at random will contain \(53\) Sundays?

A.\(\frac{2}{7}\) B.\(\frac{1}{7}\) C.\(\frac{53}{365}\) D.\(\frac{1}{365}\)

Q14

Two dice are rolled simultaneously. What is the probability of getting a doublet (equal numbers on both dice)?

A.\(\frac{1}{36}\) B.\(\frac{1}{6}\) C.\(\frac{1}{2}\) D.\(\frac{5}{6}\)

Q15

What is the range of the first \(5\) prime numbers?

A.\(9\) B.\(11\) C.\(7\) D.\(8\)

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About this Statistics and Probability test

This free online practice test covers Statistics and Probability from the 10th Standard Mathematics (Samacheer Kalvi) syllabus. Choose the number of questions and an optional time limit, then answer and submit — everything is checked in your browser, with the correct answers and a worked explanation shown at the end. For the full solutions to every question in this set, see the solved MCQs page.

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