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DSSSB TGT Statistics — practice questions

Explore 42 free Statistics questions in DSSSB TGT Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Statistics questions and exercises with answers

Showing questions 1–30 of 42.

Probability measures:Read the answer and worked solution →The probability of an IMPOSSIBLE event is:Read the answer and worked solution →The probability of getting HEADS when flipping a fair coin is:Read the answer and worked solution →The probability of rolling a 3 on a fair six-sided die is:Read the answer and worked solution →What is the probability of rolling an EVEN number on a fair six-sided die?Read the answer and worked solution →If a bag has 6 cards numbered 1 to 6, and 3 of them are purple, the probability of drawing a PURPLE card is:Read the answer and worked solution →The probability of drawing any number from 2 to 10 from a standard deck of 52 cards is:Read the answer and worked solution →If you toss a fair coin and the probability of heads is 1/2, what is the probability of NOT getting heads?Read the answer and worked solution →A die is rolled. What is the probability of getting a number GREATER THAN 6?Read the answer and worked solution →An event is described as having 'EVEN CHANCE'. Its probability is:Read the answer and worked solution →A class of 30 students has 18 girls. The probability that a randomly chosen student is a BOY is:Read the answer and worked solution →The mean of grouped data by the direct method is:Read the answer and worked solution →The class mark of a class interval is:Read the answer and worked solution →The empirical relationship between the three measures of central tendency is:Read the answer and worked solution →The value that occurs most frequently in a data set is the:Read the answer and worked solution →The middle-most value of a data set arranged in order is the:Read the answer and worked solution →In the step-deviation method for the mean, $u_i$ is given by:Read the answer and worked solution →The mean of the first five natural numbers (1, 2, 3, 4, 5) is:Read the answer and worked solution →The class mark of the class interval 10–20 is:Read the answer and worked solution →The mode of the data 2, 3, 3, 4, 5 is:Read the answer and worked solution →The median of the data 3, 5, 7, 9 is:Read the answer and worked solution →The cumulative frequency of the last class interval equals:Read the answer and worked solution →The formula for the median of grouped data is:Read the answer and worked solution →If the mode is 12 and the mean is 15, then by the empirical formula the median is:Read the answer and worked solution →The mean of the data 4, 7, 9, 10, 15 is:Read the answer and worked solution →For grouped data, the **class mark** of an interval is:Read the answer and worked solution →In the direct method, Mean = ?Read the answer and worked solution →For the step-deviation method, uᵢ is defined as:Read the answer and worked solution →The mode of the data 3, 4, 4, 5, 6, 6, 6, 7, 8 is:Read the answer and worked solution →For grouped data, the modal class is the class with the:Read the answer and worked solution →

Worked practice questions

Probability measures:

  1. Length of an object
  2. Likelihood that an event will occur
  3. Weight of a substance
  4. Temperature
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Correct answer: B. Likelihood that an event will occur

Probability is a measurement of likelihood — how likely an event is to occur. It ranges from 0 (impossible) to 1 (certain). It's analogous to length, mass, or volume, but for uncertain events.

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The probability of an IMPOSSIBLE event is:

  1. 0
  2. 0.5
  3. 1
  4. Negative
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Correct answer: A. 0

An impossible event has probability exactly 0. Example: rolling a 7 on a standard 6-sided die. **Probability scale:** 0 (impossible) → 0.5 (equally likely / even chance) → 1 (certain).

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The probability of getting HEADS when flipping a fair coin is:

  1. 0
  2. 1/4
  3. 1/2
  4. 1
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Correct answer: C. 1/2

A fair coin has two equally likely outcomes: heads or tails. Probability of heads = (favourable outcomes) / (total outcomes) = 1/2 = 0.5. Same for tails.

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