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Basic Statistics Questions and Answers

Statistics:
Statistic deals with the study of collection, classification and analyzing of data over a certain range of frequency distribution. In other words Statistics involves with collection of data and preparing frequency distribution table over given set of data.

Basic Statistic Question and Answer

      1. Class mark of class interval 50-60 is :

             a) 50 b) 60 c) 55 d) 65

       2. Two consecutive class  marks of a distribution are 36 and 41. Then the class size is :

             a)  5  b)  4  c)  3  d)  2

       3. Let m be the mid value and l be the upper limit of a class in a frequency distribution. The lower limit of the class is :

             a) 2m + l  b) 2m - l   c) m - l   d) m - 2l

        4. The marks obtained by 40 student of class X in an examination are given below.
            18,8,12,6,8,16,12,5,23,2,16,23,2,10,20,12,9,7,6,5,3,5,13,21,13,15,2024,1,7,21,16,13,18,17,16.
             Represent the data in the form of  a frequency distribution table of the same class size.

        5. The following is the distribution of marks of Arun class VI in all is subject. Draw a histogram for the above data.

                        
     Subject          English            Maths           Science        Geography      Economics         History     
 Marks  40   35   45     41   48   30 
       
        
        6. the mean of the prime number between 40 and 50 is:

            a)  41 b)  45 c)  47 d)  50

        7. The information collected with definite reason are called:

           a)  Median  b)  Mode         c)  Data d)  Histogram

        8. Find the mean of the factors of 36.

           a)  11  b)  20 c)  12.5  d)  11.25

        9. Find the median of first ten prime numbers

            a) 12  b)  32  c)  20   d)  16

       10. Find the mean of the number 2,3,5,7,11,13,17,19,23 and 29

            a) 12  b) 12.5   c) 12.9   d)  13

Answer:

       1. 55
       2. 5
       3. 2m-l
       4. The data in frequency distribution form.

      Marks          Frequency    
 0-5  5
 5-10  11
 10-15  7
 15-20  9
 20-25  8
 Total  40

        5. The histogram for the data is given below.

The Histogram       

        6. 45
        7. Data
        8. The factors of 36 are 2,18,3,12,4,9,6,36
            Mean of the factor = $\frac{2,3,4,6,9,12,18,36}{8}$
                                       = $\frac{90}{8}$  = 11.25
        9. First 10 prime numbers are 2,3,5,711,13,17,19,23 and 29.
            number of terms are 10.
    mean of term is $\frac{(11+13)}{2}$ = 12.
       10. The mean of the number 2,3,5,7,11,13,17,19,23 and 29
            = $\frac{129}{10}$ = 12.9