3 Data gathering and processing
3.7 Exercises

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  1. Poplar Ridge Academy has been given a sizeable grant: enough to build either a new library or gymnasium. But, as there is only money enough to build one facility, the principal wants to ask students which one they feel is in greater need of renovation.
    The table below indicates the number of students by gender, per grade, from preschool to Grade 12 (secondary 5). 
    Table 3.7.1
    Number of students by gender and grade level, Poplar Ridge Academy
    Table summary
    This table displays the results of Number of students by gender and grade level Preschool, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 and 12 (appearing as column headers).
    Preschool 1 2 3 4 5 6 7 8 9 10 11 12
    Boys 9 8 9 9 13 20 23 28 78 74 69 71 60
    Girls 6 8 11 10 13 18 35 34 63 62 61 88 70
    Total 15 16 20 19 26 38 58 62 141 136 130 159 130
    1. What is the total population of Poplar Ridge Academy?
    2. The principal wants to sample 50% of the students. How many students would this be?
    3. The principal wants to keep the correct proportion of girls to boys in the sample. Using the following formula, calculate the number of male preschool students that should be included in the sample.
      n u m b e r   o f   m a l e   p r e s c h o o l   s t u d e n t s n u m b e r   o f   t o t a l   s t u d e n t s   × s i z e   o f   s a m p l e   s u r v e y MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfKttLearuatH9givLearmWu51MyVXgatC vAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wz ZbItLDhis9wBH5garqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbb L8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpe pae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaam aaeaqbaaGcbaaeaaaaaaaaa8qadaWcaaWdaeaapeGaemOBa4MaemyD auNaemyBa0MaemOyaiMaemyzauMaemOCaiNaeiiOaaQaem4Ba8Maem OzayMaeiiOaaQaemyBa0MaemyyaeMaemiBaWMaemyzauMaeiiOaaQa emiCaaNaemOCaiNaemyzauMaem4CamNaem4yamMaemiAaGMaem4Ba8 Maem4Ba8MaemiBaWMaeiiOaaQaem4CamNaemiDaqNaemyDauNaemiz aqMaemyzauMaemOBa4MaemiDaqNaem4Camhapaqaa8qacqWGUbGBcq WG1bqDcqWGTbqBcqWGIbGycqWGLbqzcqWGYbGCcqGGGcaOcqWGVbWB cqWGMbGzcqGGGcaOcqWG0baDcqWGVbWBcqWG0baDcqWGHbqycqWGSb aBcqGGGcaOcqWGZbWCcqWG0baDcqWG1bqDcqWGKbazcqWGLbqzcqWG UbGBcqWG0baDcqWGZbWCaaGaeiiOaaQaey41aqRaem4CamNaemyAaK MaemOEaONaemyzauMaeiiOaaQaem4Ba8MaemOzayMaeiiOaaQaem4C amNaemyyaeMaemyBa0MaemiCaaNaemiBaWMaemyzauMaeiiOaaQaem 4CamNaemyDauNaemOCaiNaemODayNaemyzauMaemyEaKhaaa@AEDE@
    4. What type of sampling technique has been used here?
    5. If the principal wishes to sample 180 students, how many boys and girls per grade should be surveyed? Put your answers in a table. (Results should be rounded to the nearest whole number.)
    Answer 1
  2. From what you already know about the statistical process, place the following steps in the correct order:
    • processing
    • collection
    • information
    • data
    Answer 2
  3. If data editing did not take place, what effect might this have on information produced?
    Answer 3


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