41 In a test the mean mark of four students was 61 . The median was 60 and the mode was 57 . What was the highest mark?

To find the highest mark, let's use the information given. The mean of the four students' marks is 61, which means the total sum of their marks is \(4 \times 61 = 244\). The median is 60, indicating that the second and third marks must be 60 and the mode, which is 57, means that at least two students scored 57. Let’s arrange the marks: If we denote the marks as \(a, b, c, d\) in increasing order, we can formulate them like this: - \(a = 57\) (the mode), - \(b = 57\) (the other student with the mode), - \(c = 60\) (the first value for the median), - \(d\) (the highest mark we need to find). Now, we can set up the equation: \[ 57 + 57 + 60 + d = 244 \] \[ 174 + d = 244 \] \[ d = 244 - 174 \] \[ d = 70 \] Thus, the highest mark among the four students is **70**.