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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