# Graphs and Descriptive Statistics

Feb 3rd, 2012
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Chapter Three (Show all your work) 1) A teacher asked each of her students how many novels they had read in the previous six months. The results are shown below. 0 1 5 4 2 1 3 2 2 7 2 5 0 1 0 1 1 2 6 0 2 3 1 2 7 1 4 2 3 1 7 0 0 2 1 1 0 6 1 7 Construct a frequency table for the number of novels read. 2) The frequency table shows the weights in ounces of 30 stones Weight (oz) Number of Stones 1.2-1.6 5 1.7-2.1 2 2.2-2.6 5 2.7-3.1 5 3.2-3.6 13 Use the above information to construct a cumulative frequency table for the data. 3) Use the following data to construct a bar chart. Job categories Clerical Management Maintenance Professional Unemployed 5 4 6 2 1 Create a bar graph and place the above data in a bar graph. 4) The data below are the numbers of hours of homework done as reported by 24 high school juniors for the last week in September 2006. 6, 5, 6, 4, 6, 6, 9, 7, 6, 3, 8, 5, 5, 8, 6, 5, 8, 6, 5, 7, 5, 8, 7, 4 Create a histogram using the above data. Use bin width (siz

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Graphs and Descriptive StatisticsChapter 31)The following is the frequency table for the number of novels read.Number of novels readFrequency of novels read071112933425262742)The following is the cumulative frequency table for 30 stones. Weight (oz)Number of stonesCumulative frequency1.2-1.6551.7-2.125+2=72.2-2.655+2+5=122.7-3.155+2+5+5=173.2-3.6135+2+5+5+13=30Total30303)The following is the bar graph for job categories.4)To create the histogram, we have to compose a table as below (an extra column is being added to show the histogram with relative frequencies). Range of hours in 2 hours incrementFrequency of the number of hours of homeworkRelative frequency0-2003-433/24=0.1255-61313/24=0.5427-877/24=0.2929-1011/24=0.041Total241Firstly, a histogram is created showing the number of frequencies with which 24 students spent the number of hours to do their homework. Secondly, a histogram chart is created on the basis of relative frequency. 5)The stem on the left hand side contains the tens digits and the leaves on the right hand side contains a single digit of each tens digit of stem. The resultant data based on the stem and leaf data will be as follows.11, 18, 16, 21, 21, 23, 27, 31, 33, 33, 38, 39, 43, 446)The following is the stem and leaf plot.StemLeaves10, 2, 3, 5, 5, 8, 920, 1, 2, 2, 5, 8 31, 2, 3, 5 Chapter 41)First, we have to sum up the total scores as follows.552+349+59

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