Question

Consider the data:;
30.16, 27, 16, 27, 30, 10, 30, 16, 27, 30, 10, 16, 27,x,10
If the mode of the given data is 30, then what is the value of x?​ options are a) 10 b)16 c) 27 d)30​

Answer 1

Step-by-step explanation:

${\bold{\sf{Given \: data \: is :-}}}$

${\bold{\sf{→30, 16, 27, 16, 27, 30, 10, 30, 16, 27, 30, 10, 16, 27,x,10}}}$

${\bold{\sf{And \: the \: mode \: of \: given \: data \: is, }}}$

${\bold{\sf{→ \: \: 30 }}}$

${\bold{\sf{\red{We \: know \: that \: the \: mode \: of \: the \: data \: is \: the \: number \: which \: occurs \: most \: time,}}}}$

${\bold{\sf{→ \: If \: 30 \: is \: the \: mode \: of \: the \: given \: data \: it \: means \: it \: occurs \: most \: time}}}$

${\bold{\sf{→ So \: the \: value \: of \: x \: must \: be \: 30}}}$

${\bold{\sf{\orange{→ \: It \: means \: option \: d \: is \: correct}}}}$

Answer 2

Givendatais:−

{\bold{\sf{→30, 16, 27, 16, 27, 30, 10, 30, 16, 27, 30, 10, 16, 27,x,10}}}→30,16,27,16,27,30,10,30,16,27,30,10,16,27,x,10

{\bold{\sf{And \: the \: mode \: of \: given \: data \: is, }}}Andthemodeofgivendatais,

{\bold{\sf{→ \: \: 30 }}}→30

{\bold{\sf{\red{We \: know \: that \: the \: mode \: of \: the \: data \: is \: the \: number \: which \: occurs \: most \: time,}}}}Weknowthatthemodeofthedataisthenumberwhichoccursmosttime,

{\bold{\sf{→ \: If \: 30 \: is \: the \: mode \: of \: the \: given \: data \: it \: means \: it \: occurs \: most \: time}}}→If30isthemodeofthegivendataitmeansitoccursmosttime

{\bold{\sf{→ So \: the \: value \: of \: x \: must \: be \: 30}}}→Sothevalueofxmustbe30

{\bold{\sf{\orange{→ \: It \: means \: option \: d \: is \: correct}}}}→Itmeansoptiondiscorrect