8/21/2017 Homework: pg. 46 #3-6 3.) A. Stemplot. The dots are too spread out to identify the shape of the distribution. B. Cumulative counts of observations from the bottom up and the top down. The (3) is the location of the median. C. Dotplot: second dot from the left. Stemplot: entry in the second row

4. ) A. Liberty University has a stem of 1 and a leaf of 3 4.) A. Liberty University has a stem of 1 and a leaf of 3. Virginia State has a stem of 1 and a leaf of 1. Row 2 1111: Hollins, Randolph-Macon Women’s, Sweet Briar, William and Mary B. The 23 community colleges. The stem of 0 represents all colleges and universities with tuition and fees below $10,000.

5. ) The distribution is approximately symmetric with a center of 35 5.) The distribution is approximately symmetric with a center of 35. The range is 40. There are no gaps or outliers.

6.A. C. The distribution of the amount of money spent by shoppers at this supermarket is skewed right, with a minimum of $3 and a maximum of $93. There are some outliers on the high end. The median is 27.5. 0 399 1 1345677889 2 000123455668888 3 25699 4 1345579 5 0359 6 1 0 3 6 1 7 0 0 99 6 1 134 7 0 8 366 1 5677889 8 3 9 3 2 0001234 8 66 B. The stemplot with the split stems shows the skewness, gaps and outliers more clearly. 2 55668888 9 3 3 2 3 5699 4 134 4 5579 5 03 5 59

Displaying Distributions with Graphs: Histograms Section 1.1 Day 2

Describing distributions 4 things you name when describing the distribution: SOCS SHAPE (symmetric, skewed) OUTLIERS (any “extreme” observations) CENTER (median, mean) SPREAD (amount of variability, range)

Shape of distributions Skewed Right Symmetric Skewed Left

Histograms: Similar to a stemplot, but you do not record each individual number Bar graphs -> categorical, leave spaces between bars Histograms-> quantitative, no spaces

How to Make a Histogram: 1.) Decide on your class width. (How many numbers each bar is going to represent.) =Range/Classes Wanted 2.) Find the frequency for each class. 3.) Draw your histogram. Label both axes and put a title.

Example: Extracurricular hours Individually, come to the board and write how many hours a week you work/participate in activities after school. Create a histogram with 5-10 classes.

Example: on the calculator Percent of College Students Enrolled in Public Institutions- by State   86 96 66 86 80 78 62 81 88 80 73 69 76 90 78 82 70 83 75 76 66 91 76 86 58 81 91 57 77 93 84 57 44 82 79 67 86 75 78 86 85 69 77 46 81 55 81 80 71 80

How to make Histogram in calculator Enter data into L1 STAT  EDIT L1 Turn Stat Plot on 2nd Y= Plot 1 On  On Choose type of graph 3rd option is histogram Confirm Xlist matches List with data Zoom 9 to graph

One last thing: reading histograms Each bar includes the left-hand value. The right-hand value is in the next bar.

Turn in your answers before you leave! 1.) Explain 2 similarities and 2 differences between stemplots and histograms. 2.) Create a histogram that has: A.) has at least 10 pieces of data B.) has a median of 8 C.) is symmetric

Pg. 56 #8-12 Homework