Language and Use of Statistics

NZ Level 7 (NZC) Level 2 (NCEA)

Sampling Techniques

Prior to an election, a news editor wanted to view the opinions of randomly selected people. Some two digit numbers were randomly generated, as shown in the picture, and starting with $37$37, the editor would choose a number $3$3 to the right, $1$1 down (so that the next number chosen would be $57$57). The numbers chosen were the ages of the people she would survey.

$37$37 | $49$49 | $19$19 | $72$72 | $38$38 | $33$33 | $80$80 | $83$83 | $90$90 | $23$23 | $78$78 | $21$21 | $29$29 | $72$72 | $40$40 |

$85$85 | $79$79 | $84$84 | $57$57 | $46$46 | $49$49 | $53$53 | $55$55 | $51$51 | $36$36 | $66$66 | $61$61 | $86$86 | $66$66 | $41$41 |

$74$74 | $71$71 | $40$40 | $49$49 | $42$42 | $17$17 | $50$50 | $68$68 | $27$27 | $15$15 | $47$47 | $70$70 | $47$47 | $63$63 | $32$32 |

$37$37 | $33$33 | $84$84 | $34$34 | $35$35 | $51$51 | $50$50 | $87$87 | $65$65 | $47$47 | $38$38 | $78$78 | $80$80 | $39$39 | $60$60 |

$23$23 | $82$82 | $64$64 | $22$22 | $21$21 | $76$76 | $38$38 | $67$67 | $43$43 | $75$75 | $39$39 | $76$76 | $72$72 | $48$48 | $33$33 |

a

What are all the random numbers the editor chose?

Write your answers on the same line separated by a comma.

b

What is the range in ages of the people who will be surveyed?

Easy

Approx 4 minutes

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Carry out investigations of phenomena, using the statistical enquiry cycle: A conducting surveys that require random sampling techniques, conducting experiments, and using existing data sets B evaluating the choice of measures for variables and the sampling and data collection methods used C using relevant contextual knowledge, exploratory data analysis, and statistical inference.

Design a questionnaire