Frequency Distribution of the Scores from a Mathematics Test Is

question 164

Short Answer

Frequency distribution of the scores from a mathematics test is given in the table below. Find the sample standard deviation.
  $$\begin{array} { | l | l | l | l | } \hline \text { Interval } & \text { Midpoint } x & \text { Frequency } f & \text { Product } x f \\\hline 58.5 - 65.5 & & 3 & \\\hline 65.5 - 72.5 & & 5 & \\\hline 72.5 - 79.5 & & 8 & \\\hline 79.5 - 86.5 & & 6 & \\\hline 86.5 - 93.5 & & 3 & \\\hline 93.5 - 100.5 & & 5 & \\\hline\end{array}$$  
Please round your answer to the nearest whole number, if necessary.

---

Definitions:

Guilty

The feeling of responsibility or remorse for some offense, crime, wrong, whether real or imagined.

Cognitive Functioning

Encompasses mental processes such as perception, memory, thinking, and problem-solving.

Perceptual Sensitivity

The ability to notice or be aware of small changes in one's environment through the senses.

Basic Facts

Basic facts refer to fundamental, universally accepted pieces of information that serve as the foundation for more complex knowledge.