The Grades on a Statistics Exam for a Sample of 40

question 32

Essay

The grades on a statistics exam for a sample of 40 students are as follows:
$$\begin{array} { l l l l l l l l l } 63 & 74 & 42 & 65 & 51 & 54 & 36 & 56 & 68 \\62 & 64 & 76 & 67 & 79 & 61 & 81 & 77 & 59 \\84 & 68 & 71 & 94 & 71 & 86 & 69 & 75 & 91 \\48 & 82 & 83 & 54 & 79 & 62 & 68 & 58 & 41\end{array}$$ Construct frequency and relative frequency distributions for the data using seven class intervals.

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Definitions:

Frequency Of Sound Waves

refers to the number of complete oscillations or cycles per second of a sound wave, measured in Hertz (Hz), determining the pitch of the sound.

Pitch Discrimination

The ability to distinguish between different tones or musical notes based on their frequency, an important aspect of auditory perception.

Place Theory

A theory in psychology and physiology that suggests the perception of sound depends on where each component frequency produces vibrations along the basilar membrane of the inner ear.

Frequency Theory

The hypothesis that the frequency of a sound wave is directly related to the perception of the sound's pitch, as the auditory nerve fires at the same rate as the sound frequency.