INT MATH NAME ______

QTR 1 DATE ASSIGNED: Tuesday, September 16th

PATTERNS IN DATA DUE DATE: Thursday, September 18th

WS 3 HOUR ____

1. Use the class data and the number of children in your family column to answer this question. Find the following statistics using your graphing calculator. You may want to reference the bright blue Calculating One Variable Stats worksheet from September 8th to help you.

x=______n=______Sx=______median=______

2. Ratings of automobile characteristics such as comfort or visibility are subjective. They are based on how the rater feels about the characteristic. Other ratings such as acceleration or fuel economy can be based on more objective measures. The table below gives data on the mileage (miles per gallon) for city and highway driving of the rated cars.

Car / LeBaron / Camaro / Lumina / Concorde / Intrepid / Probe / Taurus / Accord / Del Sol / Laser / Miata
City
(mpg) / 21 / 17 / 17 / 18 / 20 / 21 / 19 / 22 / 29 / 20 / 24
Highway
(mpg) / 28 / 25 / 26 / 26 / 28 / 26 / 27 / 28 / 33 / 25 / 30

a.  Make a number line plot for the city mileage and a number line plot for the highway mileage.

b.  Compare your plots from part a. How are they similar? How are they different?

c.  Would a stem-and-leaf plot of the highway mileage data reveal more or less information about the distribution than your number line plot? Explain your reasoning.

3. Use the acceleration ratings for the tested cars shown

in a number line plot to answer this question. Explain the

steps necessary to change the number line plot into a

histogram.

4. The two histograms below show the performance of a social studies class at Central High School on a quiz and on a retake of the quiz. The quiz scores were grouped into intervals of size 5. A score on the edge of a bar is counted in the bar on the right.

a.  How many students took the original quiz? How many scored 30 or more?

b.  Where is each distribution centered? What conclusion can you draw by comparing the two histograms?

c.  Does either of the plots show gaps in the distribution of scores?

d.  Which of the distributions is approximately symmetric? Would you expect the data to have this shape? Why or why not?

e.  Which of the distributions is stretched to the right or left? What might account for the distribution having this shape?