1. The Better Business Council of a large city has concluded that students in the city's schools are not learning

enough about economics to function in the modern world. These findings were based on test results from a

random sample of 20 twelfth-grade students who completed a 46-question multiple-choice test on basic

economic concepts. The data set below shows the number of questions that each of the 20 students in the

sample answered correctly.

12 16 18 17 18 33 41 44 38 35

1936 19 13 43 8 16 14 10 9

(a) Display these data in a stemplot.

(b) Use your stemplot from part (a) to describe the main features of this score distribution.

(c) Why would it be misleading to report only a measure of center for this score distribution?

Respuesta :

Answer:

Step-by-step explanation:

The data set below shows the number of questions that each of the 20 students in the  sample answered correctly.

12 , 16 , 18,  17 , 18 , 33 , 41 , 44 , 38 , 35 , 19, 36, 19 ,13, 43, 8 ,16, 14, 10, 9

Arrange the data in ascending order:

8 ,9 ,10 ,12 ,13 ,14 ,16 ,16 ,17 ,18 ,18 ,19 ,19 ,33 ,35 ,36 ,38 ,41 ,43 ,44

a)

Key 0|8=08  number of questions answered correctly

0| 9 , 9

1| 0,2,3,4,6,6,7,8,8,9,9

2|

3| 3,5,6,8

4| 1,3,4

b)

The plot is divided into two groups

One is mid tens and other in the high 30's

There is no score in 20's

c) A measure of center might fall between the two groups i.e. mean is 22.95 where there is no data and would not provide an accurate picture of student performance