Q 2.107 - Elementary Statistics

Question

The Beatles. In the article, "Length of The Beatles' Songs" (Chance, Vol. 25, No. 1, pp. 30-33), T. Koyama discusses aspects and interpretations of the lengths of songs by The Beatles. Data on the length, in seconds, of 229 Beatles' songs are presented on the WeissStats site. Use the technology of your choice to

a. obtain frequency and relative-frequency distributions.

b. get and interpret a frequency histogram or a relative-frequency histogram.

c. construct a dotplot.

d. Compare your graphs from parts (b) and (c).

Step-by-Step Solution

Answer

a)Under explanation, the frequency and relative frequency distributions are shown.

b)Underneath the explanation is a frequency histogram.

Part a Step 1 Given Information

We have to obtain frequency and relative-frequency distributions 

Part a Step 2 Explanation

The frequency of single-valued grouping is depicted in the graph below.

The relative frequency distribution is given below

Part b Step 1 Given Information

We have to get and interpret a frequency histogram or a relative-frequency histogram. 

Part b Step 2 Explanation

The height of the bar in the frequency histogram is equal to the frequency, as seen below.