Respuesta :
We have the following population scores in crescent order:
{18,23,25,27,28,30,31,33,33,35,35,36,38,39,40,42,46,48,51,58,59,63,67,74}
Part a:
There is a total of 24 terms in the data set and we want to constructed a grouped frequency distribution table using an interval width of 10. If we consider a set of intervals like {[0,10),[10,20),[20,30),...,[80,90)}, we will have the following distribution, according to the number of scores located at each interval:
[0,10): 0
[10,20): 1/24 = 4.17%
[20,30): 4/24 = 16.67%
[30,40): 9/24 = 37.50%
[40,50): 4/24 = 16.67%
[50,60): 3/24 = 12.50%
[60,70): 2/24 = 8.33%
[70,80): 1/24 = 4.17%
[80,90): 0
Part B:
The mean is given by the sum of all scores divided by the total number of scores. Then, the mean is 40.79.
The median is the value that separate the lower half from the upper half in the distribution. Then, the median is (36 + 38)/2 = 37.
The mode is the set of most frequent scores of the data set. The the mode is {33,35}.
