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Using the Classic Rock data in the Math 108 group on StatCrunch, create a histogram with the
variable PlayCount. When creating the histogram, check the box that says Value above bar and also check the Mean box. Answer the
following questions about the histogram. Recall that
there are 1651 songs played.
1. What percent of songs were played over 100 times?
1% (round to the nearest whole integer)
2. What is the mean?
songs (round to the nearest whole integer)
3. What percent of songs were played less than 20 times?
% (round to the nearest whole integer)

Using The Classic Rock Data In The Math 108 Group On StatCrunch Create A Histogram With The Variable PlayCount When Creating The Histogram Check The Box That Sa class=

Sagot :

The product of the frequency and PlayCount gives the number of songs

played from the information in the histogram.

Correct responses (rounded to the nearest whole integer)

1. 2%

2. 27 PlayCount per song

3. 68%

How does one analyze an histogram?

1. The given data from the histogram is presented in a tabular form as follows;

[tex]\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|}f&899&224&126&96&71&52&39&41&44&23&14&12&3&4&3\\x&10&20&30&40&50&60&70&80&90&100&110&120&130&140&150\end{array}\right][/tex]

The percentages of song that where played over 100 times is given as follows;

∑f = 899+224+126+96+71+52+39+41+44+23+14+12+3+4+3 = 1651

Number of songs played over 100 times = 14 + 12 + 3 + 4 + 3 = 36

  • [tex]Percentage \ of \ songs \ played \ over \ 100 \ times = \mathbf{\dfrac{36}{1,651} \times 100} \approx \underline{2 \%}[/tex]

2. Mean of a frequency distribution is given as follows;

[tex]Mean = \mathbf{\dfrac{\sum f\times x}{\sum f}}[/tex]

Where;

x = The PlayCount

From MS Excel, we have;

∑f·x = 44410

Which gives;

  • [tex]Mean = \dfrac{44410}{1651} \approx \underline{27}[/tex]

3. Number of songs played less than 20 times = 899 + 224 = 1,123

  • [tex]\mathbf{Percentage} \ of \ songs \ played \ less \ than \ 20 \ times = \dfrac{1,123}{1,651} \times 100 \approx \underline{ 68 \%}[/tex]

Learn more about percentages and histograms here:

https://brainly.com/question/10491646

https://brainly.com/question/1413492

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