Answer to Question #215097 in Statistics and Probability for Lata

Question #215097
Draw the cumulative frequency curve for the data given below
Marks: 0-10 10-20 20-30 30-40
No of students: 4 8 11 15
40-50 50-60 60-70
12 6 3
1
Expert's answer
2021-07-26T08:03:12-0400

The total number of students: N=4+8+11+15+12+6+3=59N=4+8+11+15+12+6+3=59

Therefore, the corresponding partial frequencies (xi) are 4/59, 8/59, 11/59, 15/59, 12/59, 6/59, 3/59

The accumulated relative frequencies can be found by summarizing Si=x1++xiS_i=x_1+\dots +x_i or by the formula Si=Si1+xiS_{i}=S_{i-1}+x_i.


S1=4/59S_1=4/59, S2=(4+8)/59=12/59S_2=(4+8)/59=12/59, S3=(12+11)/59=23/59S_3=(12+11)/59=23/59, S4=(23+15)/59=38/59S_4=(23+15)/59=38/59, S5=(38+12)/59=50/59S_5=(38+12)/59=50/59, S6=(50+6)/69=56/59S_6=(50+6)/69=56/59,

S7=(56+3)/59=1S_7=(56+3)/59=1


Put the obtained midpoints of the intervals, relative frequencies and accumulated relative frequencies into the table:



Draw the cumulative frequency curve:


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