Ch. 8 Review

Measures of Central Tendency

100

Find the range: 144, 109,131,96,140,128

140-96=44

200

Find the outlier: 88, 90, 96, 93, 87, 12, 85, and 96

Outlier is 12

300

Find median: 34, 31, 37, 44, 38, 34, 43, and 41.

37.5

400

Find mean:

34, 31, 37, 44, 38, 34, 42, 34, 43, and 41.

37.8

500

Find Mean: 92, 82, 80, 92, 78, 75, 95, and 77.

83.1

Graphical Representations

100

Make a stem-and-leaf plot:

34, 31, 37, 44, 38, 29, 34, 42, 43, 34, 52, and 41

2|9                                                                       3|1 4 4 4 7 8                                                             4|1 2 3 4                                                                 5|2

200

Make a stem and leaf plot: 

392, 382, 380, 392, 378, 375, 395, 377, and 377

37|5 7 7 8                                                             38|0 2                                                                     39|2 2 5

300

Make histogram with bins of 5.

7, 7, 12, 13, 15, 16, 16, 16, 18, 19, 20, 20, 20, 21, 22,23,24.  

Bin: 5-10 bar height of 2

Bin: 10-15 bar height 2

Bin: 15-20 bar height 6

Bin: 20-25 bar height 8

400

Make a box plot:

51, 55, 55, 62, 65, 72, 76, 78, 79, 82, 83, 85, 91, and 93

Box: Q1=62, Median=77, Q3=83.

Minimum: 51

Maximum: 93

500

Make a box plot

62, 65, 93, 51, 12, 79, 85, 55, 72, 78, 83, 91, and 76

Box: Q1=58.5, Median=76, Q3=84

Minimum=12

Maximum=93

Solving Equations in Context

100

Find the value of the variable.

x+10=32

x=22

200

Find the value of the variable.

x+2x+8=44

x+2x=36

3x=36

x=12

300

Find the value of the variable.

3y=25+y

2y=25

y=12.5

400

Find the value of the variable.

2x+3x+40=180

2x+3x=140

5x=140

x=18

500

Find the value of the variable.

3(c+2)+c+1=57

3c+6+c+1=57

3c+c+7=57

3c+c=50

4c=50

c=12.5

Distance, Rate, and Time

100

Find the rate of speed of a passenger car if the distance traveled is 572 miles and the time elapsed is 11 hours.

572 miles/11 hours

=52 miles/hour

200

Find the distance traveled by train at 135 miles per hour for 40 minutes.

Change 40 minutes into hours. 40/60=2/3 hour

d=(135)(2/3)

d=90 miles

300

Fred said that his hamster traveled 60 feet in 90 seconds and Wilma said she timed for one minute and her hamster traveled 12 yards. 

Which hamster has the fastest rate.

rate=distance/time

Fred: 60 feet/1.5 minutes=40 feet/minute

Wilma: 36 feet/1 minute= 36 feet/minute

Fred's hamster is faster

400

Find the time if the distance is 157.5 miles and the speed is 63mph.

t=157.5/63

t=2.5 hr

500

Which time is shorter?

A: 4 miles at 60 mph

B: 6 miles at 80 mph

Time=d/r

A: 4/60=2/30=1/15=.067

B: 6/80=3/40=.075

A is shorter