Abox plot was made to represent the number of matches won by 14 participants in a tennis tournament. the box plot was symmetric. based on the box plot, which conclusion is most likely correct?
a) there are no participants who won an exceptionally large or small number of matches compared to other participants.
b) the mean of matches won by participants is more than the median of matches won by participants.
c) most of the participants won many matches, but some participants won very few matches compared to the others.
d) most of the participants won very few matches, but some participants won many matches compared to the others.

If we have drawn a box plot to represent number of matches won by 14 participants in a tennis tournament, and got that the box plot was symmetric . It means

1 . There are equal number of values that is points obtained by 14 participants , on both side of a line drawn from the middle of the curve , there are equal number of points.

Symmetric means, → Median = Mean

→The point graph representing number of points obtained by 14 players is divided into two congruent parts or curves have equal areas.

So, we can conclude that

Option (A):There are no participants who won an exceptionally large or small number of matches compared to other participants.

step-by-step :

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺