for the frequency distribution given below v = − 1 6 , − 1 4 , 0 , 1 2 , 1 3 f = 12 , 16 , 21 , 8 , 27find mean ,median mode what percent of the population is non negative what percent of the population is negative valued

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for the frequency distribution given below   v  =  −            1      6        ,  −            1      4        ,  0  ,            1      2        ,            1      3        f  =  12  ,  16  ,  21  ,  8  ,  27find mean ,median mode what percent of the population is non negative what percent of the population is negative valued

se4neto34yt · Accepted Answer

What we have are various values:  v  =  −            1      6        ,  −            1      4        ,  0  ,            1      2        ,            1      3      and their corresponding frequencies (how many times each of those values   v occurs):  f  =  12  ,  16  ,  21  ,  8  ,  27We can write this relationship as ordered pairs  (      v    i    ,      f    i    )  :      (    −          1      6        ,    12    )    ,      (    −          1      4        ,    16    )    ,    (  0  ,  21  )  ,      (          1      2        ,    8    )    ,      (          1      3        ,    27    )  That means there are   12  +  16  +  21  +  8  +  27  =  84 individuals/scores in the population.So, to compute the mean, you need to multiply each value       v    i   by its corresponding frequency       f    i  , and then sum all the       v    i    ⋅      f    i  , then divide by   84.To find the median, you simply need to use the frequencies,   f to determine where half of the population/scores is at/below, and the other half at/above, and then find the corresponding value   v. For example, in this case, the median value is given by   v  =  0.The mode is the most commonly occurring value: here, there are   27 occurrences of the value   v  =      1    3  , more occurrences of that value than any other value. So mode is given by   v  =      1    3  .Now for the last two questions: how many individuals in the population of   84 scored   0  ,      1    2    , or       1    3  ? Sum the corresponding frequencies, divide by   84 and multiply by   %  100.How many individuals scored   −      1    6   or   −      1    4  ? Sum the corresponding frequencies, and divide the sum by   84, then multiply by   %  100 to obtain the percentage.Your last two percentages should add to   %  100.

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