Question

janna is making a prediction of the frequency of a key that is 12 keys from middle c.
sound frequencies (piano)

number of keys above middle c	frequency (hz)
1	293.66
2	311.13
4	349.23
8	440.00

which best describes her prediction?
interpolation, because a key that is 12 keys from middle c is within the data - set
interpolation, because a key that is 12 keys from middle c is outside the data - set
extrapolation, because a key that is 12 keys from middle c is within the data - set
extrapolation, because a key that is 12 keys from middle c is outside the data - set

Explanation:

Interpolation is for predicting values within the range of known data points. Extrapolation is for predicting values outside the known data - set. The data set has number of keys above middle C values of 0, 1, 2, 4, 8. Since 12 is outside this set, it is extrapolation.

Answer:

D. extrapolation, because a key that is 12 keys from middle C is outside the data - set