alleryWhat is the distance of the point $(-3,4)$ from the origin?
- $1$
- $5$
- $7$
- $25$
Show answer and solution
Correct answer: B. $5$
Distance from the origin is $\sqrt{x^2+y^2}$.
For $(-3,4)$, this is $\sqrt{(-3)^2+4^2}=\sqrt{9+16}=\sqrt{25}=5$.
CBSE Class 10 Statistics and Probability — practice questions
Explore 77 free Statistics and Probability questions in CBSE Class 10 Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
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What is the distance of the point $(-3,4)$ from the origin?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 theoretical probability of an event E is:Read the answer and worked solution →The probability of a sure (certain) event is:Read the answer and worked solution →The probability of an impossible event is:Read the answer and worked solution →The probability of any event E always lies between:Read the answer and worked solution →For any event E, the sum P(E) + P(not E) equals:Read the answer and worked solution →The probability of getting a head when an unbiased coin is tossed once is:Read the answer and worked solution →The probability of getting a 3 when a fair die is rolled once is:Read the answer and worked solution →The probability of getting an even number on a single roll of a fair die is:Read the answer and worked solution →The probability of drawing a red card from a well-shuffled deck of 52 cards is:Read the answer and worked solution →The probability of drawing an ace from a well-shuffled deck of 52 cards is:Read the answer and worked solution →Outcomes that have the same chance of occurring are said to be:Read the answer and worked solution →If the probability of an event is 0.3, the probability of it not happening is:Read the answer and worked solution →The probability of getting a number greater than 6 in a single roll of a die is:Read the answer and worked solution →A fair coin is tossed. What is the probability of getting a head?Read the answer and worked solution →A fair die is rolled. What is the probability of getting an even number?Read the answer and worked solution →What can the probability of an event NOT be?Read the answer and worked solution →
Worked practice questions
The mean of grouped data by the direct method is:
- $\dfrac{\sum f_i x_i}{\sum f_i}$
- $\sum f_i x_i$
- $\dfrac{\sum x_i}{n}$
- $\dfrac{\sum f_i}{\sum f_i x_i}$
Show answer and solution
Correct answer: A. $\dfrac{\sum f_i x_i}{\sum f_i}$
Direct method mean = Σfᵢxᵢ / Σfᵢ.
The class mark of a class interval is:
- lower limit + upper limit
- (lower limit + upper limit) / 2
- upper limit − lower limit
- (lower limit × upper limit) / 2
Show answer and solution
Correct answer: B. (lower limit + upper limit) / 2
Class mark = (lower limit + upper limit) / 2.
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