Question

The following are marks obtained by a group of 40 class X students in an English examination: 42 88 37 75 98 93 73 62 96 80 52 76 66 54 73 69 83 62 53 79 69 56 81 75 52 65 49 80 67 59 88 80 44 71 72 87 91 82 89 79 Prepare a frequency distribution and a cumulative frequency distribution for these data using a class interval of 5.

Answer 1

Step-by-step explanation:

Given that:The following are marks obtained by a group of 40 class X students in an English examination: 42 88 37 75 98 93 73 62 96 80 52 76 66 54 73 69 83 62 53 79 69 56 81 75 52 65 49 80 67 59 88 80 44 71 72 87 91 82 89 79

To find:Prepare a frequency distribution and a cumulative frequency distribution for these data using a class interval of 5.

Solution:

To prepare frequency distribution table,check for the minimum value of marks

Frequency distribution table: Exclusive type

$\begin{tabular}{|c|c|c|}\cline{1-2}Class\:interval&frequency\\\cline{1-2}35-40&1\\\cline{1-2}40-45&2\\\cline{1-2}45-50&1\\\cline{1-2}50-55&4\\\cline{1-2}55-60&2\\\cline{1-2}60-65&2\\\cline{1-2}65-70&5\\\cline{1-2}70-75&4\\\cline{1-2}75-80&5\\\cline{1-2}80-85&6\\\cline{1-2}85-90&4\\\cline{1-2}90-95&2\\\cline{1-2}95-100&2\\\cline{1-2} Total&40\\\cline{1-2}\end{tabular}$

Cumulative frequency distribution less than type:

$\begin{tabular}{|c|c|c|}\cline{1-2}Class\:interval&frequency\\\cline{1-2}Less\:than\:40&1\\\cline{1-2}Less\:than\:45&3\\\cline{1-2}Less\:than\:50&4\\\cline{1-2}Less\:than\:55&8\\\cline{1-2}Less\:than\:60&10\\\cline{1-2}Less\:than\:65&12\\\cline{1-2}Less\:then\:70&17\\\cline{1-2}Less\:than\:75&21\\\cline{1-2}Less\:than\:80&26\\\cline{1-2}Less\:than\:85&32\\\cline{1-2}Less\:then\:90&36\\\cline{1-2}Less\:than\:95&38\\\cline{1-2}Less\:than\:100&40\\\cline{1-2} \end{tabular}$

Hope it helps you.