Statistics I

Northcentral University Data File 2/Statistics in Educational Research Data File 2 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. Number Frequency 0 7 1 11 2 9 3 3 4 2 5 2 6 2 7 4 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. Department Page 1 of 7 © 2011 Northcentral University djenny:02112011 10000 E. University Dr, Presco Valley, AZ 86314 USA www.ncu.edu p: 928-541-7777 f: 928-541-7817 Northcentral University Data File 2/Statistics in Educational Research Weight 1.2-1.6 1.2-2.1 1.2-2.6 1.2-3.1 1.2-3.6 Number of Stones 5 7 12 17 30 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 (size of the bar) of 2 hours. Department Page 2 of 7 © 2011 Northcentral University djenny:02112011 10000 E. University Dr, Presco Valley, AZ 86314 USA www.ncu.edu p: 928-541-7777 f: 928-541-7817 Northcentral University Data File 2/Statistics in Educational Research 5) Examine the stem and leaf plot below. Find the original data from the stem and leaf plot. Stem Leaves 1 1,8 6 2 1,1,3,7 3 1,3,3,8,9 4 3,4 Answer: 11, 18, 16, 21, 21, 23, 27, 31, 33, 33, 38, 39, 43, 44 6) Create a stem and leaf plot with the following data. 10, 12, 33, 25, 22, 18, 19, 31, 28, 22, 13, 15, 15, 20, 21, 35, 32 Stem Leaves 1 2 3 0, 2, 3, 5, 5, 8, 9 0, 1, 2, 2, 5, 8 1, 2, 3, 5 Department Page 3 of 7 © 2011 Northcentral University djenny:02112011 10000 E. University Dr, Presco Valley, AZ 86314 USA www.ncu.edu p: 928-541-7777 f: 928-541-7817 Northcentral University Data File 2/Statistics in Educational Research Chapter Four (Show all your work) 1) The students of Hugh Logan’s math class took the Scholastic Aptitude Test. Their math scores are shown below. Find the mean score. 552 593 358 352 537 349 357 596 470 482 Mean = (552+593+358+352+537+349+357+596+470+482)/10=464.6 Mean=464.6 2) The salaries of ten randomly selected physicians are shown below. Find the median salary. $105,000 $149,000 $163,000 $214,000 $225,000 $116,000 $111,000 $791,000 $240,000 $178,000 $105,000; $111,000; $116, 000; $149,000; $163, 000 ; $178, 000 ; $214,000; $225,000; $240,000; $791,000 Median = ($163,000+$178,000)/2=$170500 Median=$170,500 3) Find the mode(s) for the given sample data. 20, 43, 46, 43, 49, 43, 49 20, 43, 43, 43 , 46, 49, 49 Mode = 43 4) The mathematics SAT scores of the seven students in a mathematics seminar are 533, 553, 578, 586, 619, 626, and 633. Suppose that the student with the score of 533 drops the seminar and is replaced by a student with a score of 765. What will happen to the mean and the median scores of the class? Explain. Answer : Both the median and the mean will increase. Indeed, For {533, 533, 578, 586 , 619, 626, 633} Median = 586 Mean = (533+533+578+586+619+626+633)/7= 586.86 Department Page 4 of 7 © 2011 Northcentral University djenny:02112011 10000 E. University Dr, Presco Valley, AZ 86314 USA www.ncu.edu p: 928-541-7777 f: 928-541-7817

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