Comparing+Sets+of+Data

Watch this tutorial from MathsOnline for a review on the median and interquartile range. Median & Interquartile Range Now attempt the questions below. 1. A researcher tested two different brands of batteries to see how long they lasted. The results are shown in the double box-and-whisker plot below.  Use the box-and-whisker plots to compare the performance of Brand X and Brand Y.    2. A school librarian was interested in comparing the number of books borrowed by boys and girls.    a) Describe the shape of the distribution for the girls and the boys.   b) What sort of distribution would result if the librarian combined the results? 3. This box-and-whisker plot represents the heights of 30 Year 10 students. The histogram also represents the heights of 30 students.  a) What information is shown on the box-and-whisker plot?  b) Could the information in the histogram represent the same 30 Year 10 students that are represented in the box-and-whisker plot? Why? 4. The age distributions of students in four high schools are shown below.  <span style="color: #008000; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: left;">a) Which distributions are skewed? What causes the skew?  <span style="color: #008000; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: left;">b) Which distribution is closest to a symmetric distribution? <span style="color: #008000; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: left;">c) In which school would the mean age of a student be: <span style="color: #008000; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: left;"> (i) closest to 15? (ii) below 15? (iii) over 15? (iv) the largest?    <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;"> Now watch this tutorial from MathsOnline for a review on box-and-whisker plots. <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: center;">Box-and-Whisker Plots <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Now continue with these questions.  <span style="color: #000080; font-family: 'Comic Sans MS',cursive; font-size: 150%;">5. The stem-and-leaf plot shows the marks of a class on two different topic tests. <span style="font-family: 'Comic Sans MS',cursive; font-size: 150%;"> <span style="color: #000080; font-family: 'Comic Sans MS',cursive; font-size: 150%;">a) Which set of marks is almost symmetric?  <span style="color: #000080; font-family: 'Comic Sans MS',cursive; font-size: 150%;">b) Which set of marks has the smaller spread? Why? <span style="color: #000080; font-family: 'Comic Sans MS',cursive; font-size: 150%;">c) Calculate the median and mean for each set of marks. What do they suggest about the class performance on the two tests?  <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: left;"><span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 20px;">6. The marks for two classes on the same test are shown in the dot plot below.   <span style="color: #008000; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: left;">a) Which set of results is more skewed? <span style="color: #008000; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: left;">b) Without calculating, estimate which class has the higher mean and which class has the greater standard deviation.  <span style="color: #000080; font-family: 'Comic Sans MS',cursive; font-size: 150%;">7. Two groups underwent a simple fitness test and their heart rates were measured after one minute of exercise. The results are shown in the back-to-back stem-and-leaf plot.  <span style="font-family: 'Comic Sans MS',cursive; font-size: 150%;">  <span style="color: #000080; font-family: 'Comic Sans MS',cursive; font-size: 150%;">a) What does the shape of the stem-and-leaf plot suggest about the data? <span style="color: #000080; font-family: 'Comic Sans MS',cursive; font-size: 150%;">b) Calculate the median and interquartile range for each group and use them to compare the results for each group.
 * __<span style="font-family: 'Comic Sans MS',cursive; font-size: 150%;">Comparing Sets of Data __** <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Open this file with the notes for today's lesson and then save the file to your laptop.