A teacher should analyse the various errors made by students on a given task because

Mistakes and Errors:

• When a learner can’t master a topic, he/she is vulnerable to make errors. Errors are nothing but incorrectness made by a child during learning. 
• It also takes place due to the mismatch in previously assimilated and the newly accommodated knowledge. 

Key Points

Mistakes and errors made by students should be seen as opportunities to understand their thinking.

Understanding of errors:

• are necessary in the learning process to give insight into children's thinking.
• help the teacher to be aware of learners' learning styles, to cater them according to their needs.
• are considered as a part of the teaching-learning process as it helps to understand the child.

Hence, it could be concluded that a teacher should analyze the various errors made by students on a given task because understanding of errors are meaningful in the teaching- learning process.

Additional Information

Reasons for Mistakes and Errors:

• Lack of interest & knowledge
• Misunderstanding of concept
• Missing out on important points or steps
• Inability to grasp the central idea or concept
• Forgetting related previously assimilated knowledge