Question

the point scored by a kabbadi team in a series of 10matches are as follows:
12,17,9,13,16,9,12,13,12,17
find the mean and mode of these scores​

Answer 1

Answer:

☆ Mean of scores is 13.

☆ Mode of scores is 12.

Know few things before solving question like mode and mean.

$</u><u>\</u><u>s</u><u>f</u><u>\</u><u>g</u><u>r</u><u>e</u><u>e</u><u>n</u><u> </u><u>{</u><u>M</u><u>ean = \frac{sum \: of \: all \: observations}{number \: of \: observations}</u><u>}</u><u>$

$</u><u>\</u><u>s</u><u>f</u><u>\</u><u>b</u><u>l</u><u>u</u><u>e</u><u> </u><u>{</u><u>M</u><u>ode = \: observation \: which \: occurs \: frequently</u><u>}</u><u>$

__________....

Solution-

Mean -

Sum of the given numbers =

$12 + 17 + 9 + 13 + 16 + 9 + 12 + 13 + 12 + 17 = 130$

Number of the observations = $\sf\red {10}$

$\sf {\boxed{Mean = \frac{sum \: of \: all \: observations}{number \: of \: observations}}}$

$\sf\blue {Mean = \frac{130}{10} = 13}$

Hence, the mean of the given numbers is 13.

Mode

Arranging the given points in ascending order, we get

$9, 9,12,12,12,13,13,16,17,17$

As we know,

$\sf {\boxed {Mode = \: observation \: which \: occur \: mostly}}$

And 12 is the number which has occurred most frequently.

So, the mode of given numbers is 12.