In a data entry error, one of the nine recorded daily temperatures of a city was entered as 41 °C instead of the correct value t °C. The incorrect data set has an arithmetic mean of 36 °C and a variance of 20 (°C)2. After the error is rectified, the mean becomes 35 °C.
(i) Determine the correct temperature t that should have been recorded.
(ii) Using the value of t, calculate the revised variance of the data.
(iii) Compare the original variance with the revised variance and state, with justification, whether the correction made the data more or less dispersed.