Given a group of data 9,10,11, x, y, the average is 10, the variance is 2, find this group of data

Given a group of data 9,10,11, x, y, the average is 10, the variance is 2, find this group of data

Because the average of 9,10,11, x, y is 10, so 9 + 10 + 11 + X + y = 5 * 1030 + X + y = 50y = 20-x because 9 ^ 2 + 10 ^ 2 + 11 ^ 2 + x ^ 2 + y ^ 2 = 302 + x ^ 2 + y ^ 2 variance = (302 + x ^ 2 + y ^ 2) / 5-10 ^ 2 = 2 (302 + x ^ 2 + y ^ 2) - 510 = 0x ^ 2 + y ^ 2-208 = 0 substitute y = 20-x into 2x ^ 2-40x + 192 = 0x = 12 or x = 8, so y = 8