Calculate the average (arithmetic mean) of the list of numbers shown in the table. (rounded to the nearest tenth) A) 35.2 B) 39.0 C)39.1 D) 39.2

Calculate The Average Arithmetic Mean Of The List Of Numbers Shown In The Table Rounded To The Nearest Tenth A 352 B 390 C391 D 392 class=

Answer :

Given Numbers:-

  • 23, 33 ,33 ,27 ,25 ,68 ,27 ,44 ,72

To Find:-

  • average of this set of numbers

Solution:-

[tex]\green{ \underline { \boxed{ \sf{Average = \frac{Sum \:of \: observation}{Number \:of \: observation}}}}} [/tex]

[tex]\longrightarrow[/tex] Here, no of observation are 9

Now,

[tex]\begin{gathered}\implies \small \sf Average =\frac{23+33+33+27+25+68+27+44+72}{9}\\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies \small \sf Average =\frac{56+60+93+71+72}{9}\\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies \sf Average =\frac{116+164+72}{9}\\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies \sf Average =\frac{352}{9}\\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies \sf Average = 39.1 \\\end{gathered}[/tex]

[tex]\longrightarrow[/tex]The Average of given set of numbers is 39.1 .

∴ Option C) is correct ✔️

Answer:

The average / mean is 39.1

Step-by-step explanation:

Numbers Given :- 23 , 33 , 33 , 27 , 25 , 68 , 27 , 44 , 72

What to do ?

  • Find the average / mean

Solution :-

What we know is ,

Formula of average :- Sum of observation / No. of observation

  • Total no. of observation :- 9

Lets do it , by putting the values we get :-

[tex] \frac{23 + 33 + 33 + 27 + 25 + 68 + 27 + 44 + 72}{9} [/tex]

[tex] = 39.1[/tex]