Question

The marks of 200 students in a test were recorded as follows: 

Marks	No. of students
10-19	7
20-29	11
30-39	20
40-49	46
50-59	57
60-69	37
70-79	15
80-89	7

Construct the cumulative frequency table. Drew the ogive and use it too find: 

(1) the median and 

(2) the number of student who score more than 35% marks.

Answer 1

Marks	no.of students	Cumlative frequency
9.5-19.5	7	7
19.5-29.5	11	18
29.5-39.5	20	38
39.5-49.5	46	84
49.5-59.5	57	141
59.5-69.5	37	178
69.5-79.5	15	193
79.5-89.5	7	200

Number of terms = 200 

(1) ∴ Median=`200/2=100^("th")`term 

Through marks 100, draw a parllel line to x-axxis which meetss the curve a A, from A draw a prependicculer to x-axis meeting it at B the value of point B is the mediaan = 52.5 

(2) Total marks=100 

35% of total markss=`35/100xx100=35` 

The number of students who score more than 35% marks = 200-28 = 172