Math, asked by viviem989, 3 days ago

find the average of the squares of the first five whole numbers​

Answers

Answered by abhi569
1

Answer:

6

Step-by-step explanation:

First five whole numbers are 0, 1, 2, 3 and 4.

square of these numbers is :

 0² = 0  ; 1² = 1  ;  2² = 4

 3² = 9   ; 4² = 16

Average = sum/no.  of quantities

        = (0 + 1 + 4 + 9 + 16)/5

        = 30/5

        = 6

Answered by Anonymous
148

Answer:

  \large\underline \red{\sf \pmb{Question}}

  • Find the average of the squares of the first five whole numbers

  \large \underline \red{\sf \pmb{Solution}}

 \purple\bigstar\underline\frak {\pmb{Fistly,Finding \:  the \:  square \:  of  \: first \:  five  \: whole  \: numbers }}

First five whole numbers

  •   \mapsto\sf{0, 1, 2, 3, 4}

Square of first five whole numbers

  •  \mapsto\sf{ {0}^{2}  = 0 \times 0 = 0}
  •  \mapsto \sf{ {1}^{2} = 1×1 = 1}
  •   \mapsto\sf {2}^{2}  = 2 \times 2 = 4
  •   \mapsto\sf {3}^{2}  = 3 \times 3 = 9
  •   \mapsto \sf{4}^{2} = 4 \times 4 = 16

\purple\bigstar\underline\frak{ \pmb{Now,Finding \:  the \:  average  \: of \:  first  \: five  \: whole  \: numbers }}

\heartsuit\underline{\boxed{\sf{Average = \dfrac{Sum \:  of  \: Numbers }{Number  \: of  \: Units } }}}

  • Substituting the values.

 {\implies{\sf{Average = \dfrac{0 + 1 + 4 + 9 +  16 }{5} }}}

{\implies{\sf{Average = \dfrac{30 }{5} }}}

{\implies{\sf{Average =  \cancel\dfrac{30 }{5} }}}

{\implies{\bf \purple{Average = 6}}}

\heartsuit \large\underline{\boxed{\frak \pink {\pmb {Average = 6}}}}

  • Henceforth,The average of the squares of the first five whole numbers is 6.

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