janna is making a prediction of the frequency of a key that is 12 keys from middle c.\nsound frequencies…

janna is making a prediction of the frequency of a key that is 12 keys from middle c.\nsound frequencies (piano)\n| number of keys above middle c | frequency (hz) |\n| ---- | ---- |\n| 0 | 277.18 |\n| 1 | 293.66 |\n| 2 | 311.13 |\n| 4 | 349.23 |\n| 8 | 440.00 |\nwhich best describes her prediction?\no interpolation, because a key that is 12 keys from middle c is within the data set\no interpolation, because a key that is 12 keys from middle c is outside the data set\no extrapolation, because a key that is 12 keys from middle c is within the data set\no extrapolation, because a key that is 12 keys from middle c is outside the data set

janna is making a prediction of the frequency of a key that is 12 keys from middle c.\nsound frequencies (piano)\n| number of keys above middle c | frequency (hz) |\n| ---- | ---- |\n| 0 | 277.18 |\n| 1 | 293.66 |\n| 2 | 311.13 |\n| 4 | 349.23 |\n| 8 | 440.00 |\nwhich best describes her prediction?\no interpolation, because a key that is 12 keys from middle c is within the data set\no interpolation, because a key that is 12 keys from middle c is outside the data set\no extrapolation, because a key that is 12 keys from middle c is within the data set\no extrapolation, because a key that is 12 keys from middle c is outside the data set

Answer

Explanation:

Step1: Define interpolation and extrapolation

Interpolation is estimating a value within the range of known data - points. Extrapolation is estimating a value outside the range of known data - points.

Step2: Analyze the data set

The data set has number of keys above middle C values of 0, 1, 2, 4, 8. The value of 12 keys above middle C is not in the data - set.

Answer:

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