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Uttarakhand Board Class 10 Statistics — practice questions

Explore 31 free Statistics questions in Uttarakhand Board Class 10 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 31.

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 →The median of the data 8, 12, 15, 17, 21, 24, 29 (n=7) is:Read the answer and worked solution →For grouped data, the median formula is l + [(n/2 − cf) / f] · h, where "cf" stands for:Read the answer and worked solution →If Mean = 28 and Mode = 24, estimate the Median using 3·Median = Mode + 2·Mean.Read the answer and worked solution →Two consecutive integers 11 and 13 are the central terms of an even-n sorted list. The median is:Read the answer and worked solution →A "less-than" ogive is plotted with which values on the y-axis?Read the answer and worked solution →The x-coordinate of the point where the less-than and more-than ogives intersect equals the:Read the answer and worked solution →On a less-than ogive, the median is read off by drawing a horizontal line at:Read the answer and worked solution →A cumulative frequency table's final entry equals:Read the answer and worked solution →Match each average to its meaningRead the answer and worked solution →Key in the statisticRead the answer and worked solution →Tap every measure of central tendencyRead the answer and worked solution →

Worked practice questions

The mean of grouped data by the direct method is:

  1. $\dfrac{\sum f_i x_i}{\sum f_i}$
  2. $\sum f_i x_i$
  3. $\dfrac{\sum x_i}{n}$
  4. $\dfrac{\sum f_i}{\sum f_i x_i}$
Show answer and solution

Correct answer: A. $\dfrac{\sum f_i x_i}{\sum f_i}$

Direct method mean = Σfᵢxᵢ / Σfᵢ.

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The class mark of a class interval is:

  1. lower limit + upper limit
  2. (lower limit + upper limit) / 2
  3. upper limit − lower limit
  4. (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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The empirical relationship between the three measures of central tendency is:

  1. 3 Mean = Mode + 2 Median
  2. 3 Median = Mode + 2 Mean
  3. Median = Mode + Mean
  4. 2 Median = Mode + 3 Mean
Show answer and solution

Correct answer: B. 3 Median = Mode + 2 Mean

Empirical relation: 3 Median = Mode + 2 Mean.

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