Page 137 - Data Science class 10
P. 137

8.  Find the variance of the given dataset: 3, 9, 5, 6, 7.
                  a.  1                                              b.  2
                  c.  3                                              d.  4

               9.  Which of the following is also known as the "simple average" in data science?
                  a.  Mean                                           b.  Mode
                  c.  Median                                         d.  Standard deviation

               10.  Find the median of the given dataset: 5, 8, 12, 17, 2, 14, 6, 8, 13, and 7.
                  a.  5                                              b.  2
                  c.  8                                              d.  10


            B.  State whether these statements are true or false.
               1.  The division of a small set of data from a large set of data is known as a ____________________.
               2.  ____________________ means the number of times an event or a value occurs.
               3.  The ____________________ means the number that appears the most in a dataset.

               4.  A ____________________ standard deviation will always indicate a reliable weather forecast.
               5.  A low standard deviation means that the data are grouped around the ____________________.
               6.  The relationship between mean, median, and mode is termed as ____________________.

               7.  ____________________ is the average of how far away all values in a dataset are from the mean.
               8.  The ____________________ is preferred, especially when the data distribution contains some extremely low and high values.
               9.  A ____________________ is the central or typical value of a probability distribution.

              10.  ____________________ help in counting the frequency of occurrence of something.


                 Standard Questions (Section B)


            A.  Short answer type questions:
               1.  What are other names of Central tendency?
               2.  Write the names at least 3 types of mean values.
               3.  When should we use median over mean?

               4.  What is the empirical relationship between mean, mode and median if data is moderately skewed?
               5.  In which case are all the three central tendency values, i.e., mean, mode and median equal?
               6.  What is dispersion between the various values of a dataset?

               7.  What is Standard Deviation?                                                       [CBSE Handbook]
               8.  Find the mean of first 5 prime numbers.
               9.  The mean of 8, 11, 6, 14, x and 13 is 11. Find the value of the observation x.

               10.  The mean of 6, 8, x + 2, 10, 2x - 1, and 2 is 9. Find the value of x and also the value of the observation in the data.
               11.  The weights in kg of 10 students are given below:
                  39, 43, 36, 38, 46, 51, 33, 44, 44, 43

                  Find the mode of this data. Is there more than 1 mode?
               12.  Find the mean of first ten whole numbers.



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