). a competitive cheer team allows only the top 4% of athletes who try out to be part of the team. if the team tryout scorecard has a mean of 200 and a standard deviation of 10, which of the following can be used as a minimum qualifying score to join the cheer team?

a.) 8
b.) 192
c.) 217
d.) 202

The minimum qualifying score to join the cheer team is 202.

Step-by-step explanation:

the competitive team allows only top 4% of athletes

if team tryout to score a mean of 200 and a standard deviation of 10 then

our quadratic equation is given as  

in order to find that do we have the real roots of a quadratic equation , the discriminant must be greater or equal to 0. the discriminant is denoted by d and given by the formula

where b is the coefficient of the middle term containing x, a is the coefficient of the term containing and the c is the constant term.

hence we have

a = 1 , b = 5 and c = 7

to calculate d

Hence we see that the discriminant.

see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.