Question

7) The mean of 18. 14, 24, 2x + 1 and 12 is 33. Find the value of x.​

Answer 1

Answer:

x=48

Step-by-step explanation:

you add the 18,14,24 and 12

the answer is 68.

You need to multipy the 33 by 5.

the answer is 165.

subtract the 165 and 68

165-68= 97

subtract 1 from 97 and divide it by 2.

97-1=96

96÷2=48

x=48

Answer 2

$\large\underline{\frak{\qquad Given :\qquad}}$

$\qquad\bullet\:\:\textsf{Mean and observation}$

$\large\underline{\frak{\qquad To\:Find :\qquad}}$

$\qquad\bullet\:\:\textsf{The value of x = ?}$

$\large\underline{\frak{\qquad Solution :\qquad}}$

• Mean = 33
• Observations = 18, 14, 24, 2x + 1 and 12
• Sum of observations = 18 + 14 + 24 + 2x + 1 = 69 + 2x
• Total number of observations = 5

☯ $\underline{\boldsymbol{According\: to \:the\: Question\:now :}}$

$:\implies \sf Mean = \dfrac{Sum \: of \: observations}{Total \: number \: of \: observations}$

$:\implies \sf 33= \dfrac{69 + 2x}{5}$

$:\implies \sf 33 \times 5= 69 + 2x$

$:\implies \sf 165= 69 + 2x$

$:\implies \sf 165 - 69 = 2x$

$:\implies \sf 96 = 2x$

$:\implies \sf 2x = 96$

$:\implies \sf x = \dfrac{96}{2}$

$:\implies \underline{ \boxed{\textsf{\textbf{x = 48}}}}$

$\therefore\:\underline{\textsf{The value of x is \textbf{48}}}.$

━━━━━━━━━━━━━━━━━━━━━━━

$\large\underline{\frak{\qquad Verification :\qquad}}$

$\dashrightarrow\:\:\sf 33 = \dfrac{69 + 2x}{5}$

$\dashrightarrow\:\:\sf 33 = \dfrac{69 + 2(48)}{5}$

$\dashrightarrow\:\:\sf 33 = \dfrac{69 + 96}{5}$

$\dashrightarrow\:\:\sf 33 = \dfrac{165}{5}$

$\dashrightarrow\:\:\underline{\boxed{\sf 33 = 33}}$

$\large\underline{\frak{\qquad Hence\: Verified \qquad}}$

══════════════════════════════════════════════════