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09) Joey and Robbie discovered that the means of their grades for the first seme

ID: 3325175 • Letter: 0

Question

09) Joey and Robbie discovered that the means of their grades for the first semester in Mrs. Barbara's mathematics class are identical. They also noticed that the standard deviation of Joey's scores is 20.7, while the standard deviation of Robbie's scores is 2.7. Which statement must be true? In general, Robbie's grades are lower than Joey's grades. 2) Robbie's grades are more consistent than Joey's grades. (3) Robbie had more failing grades during the semester than Joey had. (4) The median for Robbie's grades is lower than the median for Joey's grades. 0 Debbie goes to a diner famous for its express lunch menu. The menu has five appetizers, three soups, seven entrées, six vegetables, and four desserts. How many different meals consisting of either an appetizer or a soup, one entrée, one vegetable, and one dessert can Debbie order? 10) 2 0

Explanation / Answer

Question 9:

If Coefficient of variation is less then data are more consistent.

C.V =(S.D/mean)*100%

Since mean grades of Joey and Robbie are identical

Hence C.V. depends only on S.D.

Standard deviation of Joey's score (20.7) > Standard deviation of Robbie's score (2.7)

i.e. C.V. of Joey's score > C.V. of Robbie's score

Conclusion : Robbie's grades are more consistent than Joey's grades.

Question no. 10 :

number of appetizers = 5 , number of soups =3 , number of entrees = 7 , number of vegetables =6 and number of dessers =4

n= Number of ways for different meals consisting of either an appetizers or a soup, one entree, one vegetable and one deserts

= ( 5C1+3C1)*7C1*6C1*4C1

= ( 5+3)*7*6*4

=8*7*6*4

= 1344