It is incorrect to say that one statement is true or false without any context. However, based on the information provided, it is correct to say that IIM Kozhikode is older than IIM Shillong and that IIM Shillong has a higher average package and better infrastructure and placement compared to IIM Kashipur. It is also true that the average package offered by IIM Kozhikode is higher than that offered by both IIM Shillong and IIM Kashipur.
It is important to note that these figures may vary from year to year and may not be indicative of the overall quality of the institutes. Factors such as the reputation of the institute, the quality of the faculty, the curriculum, and the opportunities for learning and growth are also important considerations when choosing an institute for higher education.