Question

Below is the marks of 35 students in English test (out of 10). Arrange these marks in tabular form using tally marks. 5, 8, 7, 6, 10, 8, 2, 4, 6, 3, 7, 5, 8, 5, 1, 7, 4, 6, 3, 5, 2, 8, 4, 2, 6, 4, 2, 8, 9, 5, 4, 7, 5, 5, 8.

Answer 1

Answer:

Answer

Arranging the given marks in ascending order we get,

0,0,0,0,1,1,2,2,3,3,4,5,5,5,5,6,7,7,8,8,8,8,8,8,9,9,10,10

Students who obtained marks more than or equal 5 are,

5,5,5,5,6,7,7,8,8,8,8,8,8,9,9,10,10

∴ Number of students who obtained marks more or equal to 5 =17

Answer 2

$\sf\fbox{\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: Solution\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:}$

$\sf{The\: frequency\: is\: represented\: in\: the \:table}$ $\sf{or\: the\: frequency\: distribution \:table:}$

$\tiny\boxed{\begin{array}{cccc}\sf Marks&\sf Marks Tally\:Marks&\sf Frequency \\\frac{\qquad \qquad \qquad \qquad}{}&\frac{\qquad \qquad \qquad \qquad}{}&\frac{\qquad \qquad \qquad \qquad\qquad}{}\\\sf 1 &\sf | &\sf 1 \\\\\sf 2 &\sf |||| &\sf 4 \\\\\sf 3&\sf || &\sf 2 \\\\\sf 4&\sf \cancel {||||}&\sf5\\\\\sf 5&\sf \cancel {||||} \: || &\sf 7\\\\\sf 6&\sf |||| &\sf4\\\\\sf7&\sf ||||&\sf4\\\ \\\sf 8&\sf \cancel {||||} \: | &\sf6\\\ \\\sf 9&\sf | &\sf1\\\ \\ \\ \sf 10&\sf |&\sf 1 \\ \\ \\ \sf Total &\sf &\sf \: 35\\\frac{\qquad \qquad \qquad \qquad}{}&\frac{\qquad \qquad \qquad \qquad}{\bf{}}&\frac{\qquad \qquad \qquad \qquad\qquad}{}\end{array}}$

$\sf{a) \: How \: many \: students \: scored \: more \: than\:7}$ $\sf{ marks?}$

$\underline{\underline{\textsf{Answer:}}}$

$\sf{The \: number \: of \: students \: with \:}$ $\sf{more \: than \: 7 \: marks = 6 + 1 + 1 = 8}$

$\sf{b) \: What \: is \: the \: mark \: scored \: by \:}$ $\sf{the \: maximum \: students? \: What \: is \: the \:}$ $\sf{ number \: of \: the \:students?}$

$\underline{\underline{\textsf{Answer:}}}$

$\sf{The \: maximum \: students \: scored \: 5 \: marks \: is \: 7.}$

$\sf{c) \: How \: many \: students scored \: less \: than}$ $\sf{ and \: equal \: to \: 5?}$

$\underline{\underline{\textsf{Answer:}}}$

$\sf{The \: number \: of \: students \: with \: less }$ $\sf{ than \: and \: equal \: to \: 5 \: marks = 19}$