Question

The scores on a recent statistics test are given in the frequency distribution below. Construct the corresponding relative frequency distribution. Round relative frequencies to the nearest hundredth of a percent if necessary.Scores frequency0-60 461-70 1071-80 1281-90 491-10 5A. Scores frequency0-60 15.5%61-70 22.1%71-80 31.3%81-90 16.2%91-10 14.9%B. Scores frequency0-60 12.5%61-70 20.1%71-80 37.3%81-90 15.2%91-10 14.9%C. Scores frequency0-60 11.43%61-70 28.57%71-80 34.29%81-90 11.43%91-10 14.29%D. Scores frequency0-60 0.20%61-70 0.20%71-80 0.49%81-90 0.03%91-10 0.09%

Answer 1

C

Explanation:

The scores in a recent statistics test are given in the frequency distribution below.

`\left|\begin{array}cc$Scores&$Frequency\\---&--\\0-60&4\\61-70&10\\71-80& 12\\81-90&4\\91-10&5\\----&--\\$Total&35\end{array}\right|`

The relative frequency is calculated in the table below.

`\left|\begin{array}c$Scores&$Frequency&$Relative Frequency\\---&--&-----\\0-60&4&(4)/(35)* 100=11.43\% \\\\61-70&10&(10)/(35)* 100=28.57\%\\\\71-80& 12&(12)/(35)* 100=34.29\%\\\\81-90&4&(4)/(35)* 100=11.43\%\\\\91-10&5&(5)/(35)* 100=14.29\%\\----&--&---\\$Total&35&100\end{array}\right|`

Therefore, the relative frequency table is that in Option C.