To find the scores one, two, and three standard deviations above and below the mean, we can use the following formulas:

Score above mean = mean + (number of standard deviations) x standard deviation

Score below mean = mean - (number of standard deviations) x standard deviation

Given that μ = 25 and σ = 2.3, we can substitute these values into the formulas to find the scores:

One standard deviation above the mean:

Score = 25 + (1 x 2.3) = 27.3

Two standard deviations above the mean:

Score = 25 + (2 x 2.3) = 29.6

Three standard deviations above the mean:

Score = 25 + (3 x 2.3) = 31.9

One standard deviation below the mean:

Score = 25 - (1 x 2.3) = 22.7

Two standard deviations below the mean:

Score = 25 - (2 x 2.3) = 20.4

Three standard deviations below the mean:

Score = 25 - (3 x 2.3) = 18.1

Therefore, the scores one, two, and three standard deviations above the mean are 27.3, 29.6, and 31.9, respectively. The scores one, two, and three standard deviations below the mean are 22.7, 20.4, and 18.1, respectively.