Which statement correctly describes data size in relation to sample rate?

Which statement correctly describes data size in relation to sample rate?

• A. Higher sample rate decreases data size.
• B. Sample rate has no effect on data size.
• C. Data size is determined only by the number of channels
• D. Higher sample rate increases data size.

Answer: (D)

The main idea is that data size grows with how often you sample a signal. In digital sampling, the data rate per second equals sample rate times bits per sample times the number of channels, so more samples per second mean more data each second. If you keep duration, bit depth, and channels fixed, doubling the sample rate doubles the data size. So increasing the sample rate increases data size. The other statements don’t fit: sample rate does affect data size; data size isn’t determined only by the number of channels (it also depends on sample rate and bit depth and duration); and higher sample rate does not decrease data size.

The main idea is that data size grows with how often you sample a signal. In digital sampling, the data rate per second equals sample rate times bits per sample times the number of channels, so more samples per second mean more data each second. If you keep duration, bit depth, and channels fixed, doubling the sample rate doubles the data size. So increasing the sample rate increases data size. The other statements don’t fit: sample rate does affect data size; data size isn’t determined only by the number of channels (it also depends on sample rate and bit depth and duration); and higher sample rate does not decrease data size.