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)\nnumber of keys above middle c | frequency (hz)\n0 | 277.18\n1 | 293.66\n2 | 311.13\n4 | 349.23\n8 | 440.00\nwhich best describes her prediction?\n○ interpolation, because a key that is 12 keys from middle c is within the data set\n○ interpolation, because a key that is 12 keys from middle c is outside the data set\n○ extrapolation, because a key that is 12 keys from middle c is within the data set\n○ 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)\nnumber of keys above middle c | frequency (hz)\n0 | 277.18\n1 | 293.66\n2 | 311.13\n4 | 349.23\n8 | 440.00\nwhich best describes her prediction?\n○ interpolation, because a key that is 12 keys from middle c is within the data set\n○ interpolation, because a key that is 12 keys from middle c is outside the data set\n○ extrapolation, because a key that is 12 keys from middle c is within the data set\n○ extrapolation, because a key that is 12 keys from middle c is outside the data set

Answer

Answer:

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

Brief Explanations:

  1. First, identify the range of the given data set: the number of keys above middle C in the table ranges from 0 to 8.
  2. A key 12 keys from middle C falls outside this 0-8 range.
  3. Interpolation refers to predicting values within the existing data range, while extrapolation refers to predicting values outside the existing data range. Thus, this is extrapolation.