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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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