Mathematics
Mathematics
Problem
The following table shows the marks obtained (out of 10) by 40 students in a weekly mathematics test. Marks () : 0 1 2 3 4 5 6 7 8 9 10 Frequency () : 1 2 3 5 6 7 6 4 3 2 1 Answer the following questions based on the data given above. a. (i) Find the total number of marks scored by all the students together. b. (ii) Calculate the mean mark obtained by the students, correct to two decimal places.Intuitive explanation
This problem is about summarizing and interpreting a distribution of test scores using key statistical measures. You'll use the frequency table to calculate the mean, median, mode, and range—each telling you something different about how the class performed. The frequency column tells you how many students earned each mark, so you'll need to weight each score by how often it appears when computing averages. Think of it as finding the "center" and "spread" of the data in different ways.
Intuitive explanation
This problem is about summarizing and interpreting a distribution of test scores using key statistical measures. You'll use the frequency table to calculate the mean, median, mode, and range—each telling you something different about how the class performed. The frequency column tells you how many students earned each mark, so you'll need to weight each score by how often it appears when computing averages. Think of it as finding the "center" and "spread" of the data in different ways.