1 a) Given a sample of height (in cm) of seedlings in an experiment as follows: 76.0, 68.1, 73.4, 80.2, 75.4, 78.3 i) Find the mean, median and standard deviation of the above data. ii) Hence,...


1 a) Given a sample of height (in cm) of seedlings in an experiment as follows:<br>76.0, 68.1, 73.4, 80.2, 75.4, 78.3<br>i) Find the mean, median and standard deviation of the above data.<br>ii) Hence, calculate the Pearson's coefficient of skewness and interpret your answer.<br>iii) If it was later discovered that the measuring scales were reading 10 cm below the<br>correct height, state the correct mean and standard deviation.<br>b) The following frequency table shows the volume of petrol refueled by 200 customers at a<br>petrol kiosk.<br>Volume (litre)<br>Number of fruit sellers<br>1- 10<br>8.<br>11- 20<br>18<br>21 – 30<br>30<br>31 – 40<br>42<br>41 – 50<br>62<br>51 – 60<br>26<br>61 – 70<br>10<br>71- 80<br>4<br>i) Calculate the mean and the third quartile for the volume of petrol refueled by the<br>customers.<br>ii) Determine the value of x, given that 30% of the customers who refueled more than x<br>litres of petrol.<br>iii) Determine the percentage number of customers who refueled more than 66 litres of<br>petrol.<br>

Extracted text: 1 a) Given a sample of height (in cm) of seedlings in an experiment as follows: 76.0, 68.1, 73.4, 80.2, 75.4, 78.3 i) Find the mean, median and standard deviation of the above data. ii) Hence, calculate the Pearson's coefficient of skewness and interpret your answer. iii) If it was later discovered that the measuring scales were reading 10 cm below the correct height, state the correct mean and standard deviation. b) The following frequency table shows the volume of petrol refueled by 200 customers at a petrol kiosk. Volume (litre) Number of fruit sellers 1- 10 8. 11- 20 18 21 – 30 30 31 – 40 42 41 – 50 62 51 – 60 26 61 – 70 10 71- 80 4 i) Calculate the mean and the third quartile for the volume of petrol refueled by the customers. ii) Determine the value of x, given that 30% of the customers who refueled more than x litres of petrol. iii) Determine the percentage number of customers who refueled more than 66 litres of petrol.

Jun 10, 2022
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