The SAT scores for a group of 10 students are shown. What is the mean absolute deviation of the group? A. 45B. 88C. 880D. 1532
Accepted Solution
A:
first we have to find the mean (average) of these numbers (1520 + 1630 + 1480 + 1580 + 1400 + 1300 + 1700 + 1610 + 1580 + 1520) / 10 = 15320 / 10 = 1532
now we find the absolute value of the difference between each data value and the mean. |1520 - 1532| = 12 | 1630 - 1532| = 98 |1480 - 1532| = 52 |1580 - 1532| = 48 |1400 - 1532| = 132 |1300 - 1532| = 232 |1700 - 1532| = 168 |1610 - 1532| = 78 |1580 - 1532| = 48 |1520 - 1532| = 12
now, we find the mean (average) of these numbers....and that is ur MAD (12 + 98 + 52 + 48 + 132 + 232 + 168 + 78 + 48 + 12) / 10 = 880/10 = 88 <== ur mean absolute deviation