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Practice Statistics: Mean, Median and Mode Practice Questions with Detailed Solutions – Level 1

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  1. Question 1

    The marks obtained by six students in a test are given below. What is the mean of their marks?

    45, 52, 38, 61, 49, 55

  2. Question 2

    The mean of 8 numbers is 24. If a ninth number, 33, is included, what is the new mean?

  3. Question 3

    The mean of 10 observations was found to be 40. Later it was discovered that the observation 52 had been wrongly recorded as 25. What is the correct mean?

  4. Question 4

    The number of runs scored by Rohan in 8 matches is given below. What is the median score?

    14, 9, 21, 17, 11, 25, 8, 19

  5. Question 5

    The shoe sizes of 11 customers at a shop are listed below. What is the mode of the shoe sizes?

    7, 8, 6, 7, 9, 8, 7, 10, 8, 7, 6

  6. Question 6

    For a moderately skewed distribution, the mean is 36 and the median is 34. Using the empirical relation, what is the mode?

  7. Question 7

    The minimum temperatures (in °C) recorded in Shimla on six days are given below. What is the range of these temperatures?

    12, 18, 9, 15, 21, 14

  8. Question 8

    Find the mean of the following frequency distribution.

    x: 2, 4, 6, 8

    \(f\): 3, 5, 7, 5

  9. Question 9

    A data set has mean 20 and standard deviation 5. If each observation is multiplied by 3 and then 4 is added to it, what are the new mean and the new standard deviation, respectively?

  10. Question 10

    Rohit scored 42, 57, 38, 65 and 48 runs in five matches. What is his mean score per match?

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