The following data represent the ages of award winners for best actor and best actress in a leading role for the 20 years from 1985 to 2004. Answer parts (a) minus −(b) below. Full data set Best Actor Ages Best Actress Ages 47 47 36 36 38 38 37 37 46 46 31 31 50 50 62 62 32 32 43 43 49 49 64 64 70 70 35 35 22 22 30 30 44 44 33 33 42 42 37 37 50 50 49 49 34 34 28 28 23 23 26 26 33 33 36 36 31 31 29 29 29 29 26 26 54 54 51 51 64 64 40 40 51 51 36 36 34 34 42 42 (a) Construct an ordered back to back stem-and-leaf display.

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.  

good luck on your studies! : )

david edward.

hello from mrbilldoesmath!

answer:

the domain is the set { -2, 0, 2, 3}

discussion:

the domain is the set of x values in the ordered pairs (x,y). taking the x, or first component, of each ordered pair gives   -2, 0, 2, 3.

you,

mrb