Question
1.2 Table 1 below shows the collected crime data from the different districts in Gauteng for 2013 to 2023 Station District 2013-2014 2014-2015 2015-2016 2016-2017
1.2Table 1 below shows the collected crime data from the different districts in Gauteng for 2013 to 2023
Station | District | 2013-2014 | 2014-2015 | 2015-2016 | 2016-2017 | 2017-2018 | 2018-2019 | 2019-2020 | 2020-2021 | 2021-2022 | 2022-2023 |
JHB Central | Johannesburg District | 12 853 | 13 641 | 12 912 | 13 044 | 12 221 | 12 199 | 10 639 | 6 845 | 7 869 | 8 716 |
Honeydew | Johannesburg District | 11 432 | 11 721 | 11127 | 10 965 | 10 506 | 9 981 | 10 214 | 7 897 | 8 045 | 8 082 |
Midrand | Johannesburg District | 7 280 | 6 995 | 7 026 | 8 097 | 7 418 | 6 905 | 6 872 | 5 282 | 5 874 | 6 927 |
Randfontein | West Rand District | 6 427 | 6 233 | 6 482 | 6 818 | 6 744 | 6 555 | 6 293 | 5 630 | 6 237 | 6 563 |
Brooklyn | Tshwane District | 8 451 | 7 212 | 7 222 | 7 409 | 6 833 | 6 608 | 7 127 | 5 246 | 6 030 | 6 489 |
Temba | Tshwane District | 7 870 | 7 640 | 7 419 | 6 975 | 6 267 | 6 202 | 6 259 | 5 526 | 6 296 | 6 353 |
Roodepoort | Johannesburg District | 9 271 | 8 325 | 7 045 | 6 923 | 6 427 | 5 763 | 5 739 | 4 700 | 5 138 | 6 255 |
Tembisa | Ekurhuleni District | 6 660 | 5 526 | 5 583 | 5 154 | 5 818 | 5 679 | 6 715 | 5 379 | 5 677 | 6 233 |
Source: SA Crime Statistics Data 2023-2024 _Annual_Stats 2024
1.2.1 Which station had the highest number of incidents reported over the period? Use a graph to answer this question. Describe what the graph is showing with regard to the question [4]
1.2.2 What is the trend in the number of incidents reported for each station over the years? Use a graph to answer this question and provide the narrative [4]
1.2.3 Can we identify any station with the lowest incidents reported in 2018 - 2019? [2]
1.2.4 What is the standard deviation of the incidents reported over the observed period? [1]
1.2.5 How do the districts compare in terms of the total number of incidents reported over the entire period?Which district had the highest number of incidents? Use an appropriate tool to present this information. [5]
1.3 The table below presents the descriptive statistics output for all the stations and districts from 2013 - 2023.
Descriptive Statistics for all stations and districts 2013 - 2023 | |
Mean | 7537,6375 |
Standard Error | 240,6944832 |
Median | 6858,5 |
Mode | 6427 |
Standard Deviation | 2152,836905 |
Sample Variance | 4634706,74 |
Kurtosis | 0,933984497 |
Skewness | 1,348009576 |
Range | 8941 |
Minimum | 4700 |
Maximum | 13641 |
Sum | 603011 |
Count | 80 |
Largest (1) | 13641 |
Smallest (1) | 4700 |
Confidence Level (95,0%) | 479,0903847 |
1.3.1 Based on the given output, is the crime data symmetrical or skewed? Motivate your answer. [2]
1.3.2 Given your answer in 1.3.1, what is the appropriate measure of centre? And what is the value? [2]
1.3.3 What is the corresponding measure of variability and why? [2]
1.3.4 What does the skewness value of 1,3480 imply in the context of the crime rate data?
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