Statistics and Probability Problems with Answers
sample 1

Problems on statistics and probability are presented. The answers to these problems are at the bottom of the page.

  1. Given the data set

    4 , 10 , 7 , 7 , 6 , 9 , 3 , 8 , 9

    Find

    a) the mode,

    b) the median,

    c) the mean,

    d) the sample standard deviation.

    e) If we replace the data value 6 in the data set above by 24, will the standard deviation increase, decrease or stay the same?



  2. Find x and y so that the ordered data set has a mean of 42 and a median of 35.

    17 , 22 , 26 , 29 , 34 , x , 42 , 67 , 70 , y



  3. Given the data set

    62 , 65 , 68 , 70 , 72 , 74 , 76 , 78 , 80 , 82 , 96 , 101,

    find

    a) the median,

    b) the first quartile,

    c) the third quartile,

    c) the interquartile range (IQR).



  4. The exam grades of 7 students are given below.

    70 , 66 , 72 , 96 , 46 , 90 , 50

    Find

    a) the mean

    b) the sample standard deviation



  5. Twenty four people had a blood test and the results are shown below.

    A , B , B , AB , AB , B , O , O , AB , O , B , A

    AB , A , O , O , AB , B , O , A , AB , O , B , A


    a) Construct a frequency distribution for the data.

    b) If a person is selected randomly from the group of twenty four people, what is the probability that his/her blood type is not O?



Answers to the Above Problems



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