topic : statistical data analysis

Students studying at a university; The results of the (statistics) exam, 50 and greater than 50, are as follows. According to this;

(DATA)

a) Highest grade, (97) b) Lowest grade, (53) c) Interval of change, (44) d) Grades of the 5 students with the highest grades, (97-96-95-95-94) e) Grades of the 5 students with the lowest grades, (53-57-59-60-60) f) 10. The grade of the student with the highest grade, (88) g) How many students scored 75 and above, (44) h) The number of students with a grade below 80, (48) i) Percentage of students with grades between 75 and 95 (55%) j) Find which grades were not taken at all.

DATA: 68 84 75 82 68 90 62 88 76 93 73 79 88 73 60 93 71 59

85 75 61 65 75 87 74 62 95 78 63 72 66 78 82 75 94 77 69 74 68 60 96 78 89 61 75 95 60 79 83 71 79 62 67 97 78 85 76 65 71 75 65 80 73 57 88 78 62 76 53 74 86 67 73 81 72 63 76 75 85 77

QUESTION :

A) Construct the cumulative frequency distribution using the example given above and draw the cumulative frequency polygon.

B) Calculate the arithmetic, geometric, harmonic and square mean of the data in the example given above with the help of the frequency distribution table that you have created by grouping.