1. Test A was given to a large class. The distribution of the scores, denoted x, is characterized by several measures. The names of these measures (and their symbols are written in the first column of the chart below. The numerical values of these measures are written in the second column.

The teachers' council concluded that the tests had been too 'harsh' and considered two schemes for adjusting the scores of all the students.

1. Five points would be added to each of the student's original scores.
2. Each score would be increased by 15% of its original value (that is, multiplied by 1.15).

Fill the table with the measures characterizing the adjusted distribution of scores according to each of the two schemes.

Measure Original scores x Scheme (a) x+5 Scheme (b) 1.15x Mean x 58 Standard Deviation Sx 12 Variance s, 144 Median Mex 59 Lowest standard score -2.8 (z-score) Range Rx 64 Mode Mox 60 Percentile of student i 78% rxy with scores on test -55 B I's with scores on test C :61