Solve the Problem Where N Is the Sum of All Class Frequencies and Distribution

question 145

Multiple Choice

Solve the problem.
-When data are summarized in a frequency distribution, the median can be found by first identifying the median class (the class that contains the median) . We then assume that the values in that class are evenly distributed and we can interpolate. This process can be described by $$\text { median } = ( \text { lower limit of median class } ) + ( \text { class width } ) \left( \frac { \frac { \mathrm { n } + 1 } { 2 } - ( \mathrm { m } + 1 ) } { \text { frequency of median class } } \right)$$ where n is the sum of all class frequencies and m is the sum of the class frequencies that precede the median class. Use this procedure to find the median of the frequency distribution below: $$\begin{array} { l | c } \text { Score } & \text { Frequency } \\\hline 50 - 59 & 21 \\60 - 69 & 24 \\70 - 79 & 22 \\80 - 89 & 16 \\90 - 99 & 17\end{array}$$

• A)74.5
• B)71.8
• C)72.5
• D)72.0

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Definitions:

Capacitive Reactance

The opposition to change in voltage across a capacitor, inversely proportional to the frequency of the applied AC signal and the capacitor's capacitance.

Frequency

The number of times a periodic event repeats in a given time unit, often used to describe the rate at which alternating current cycles, measured in hertz (Hz).

Pure Capacitive Circuit

An electric circuit that contains only a capacitor, which stores electrical energy in an electric field, showing ideal capacitive behavior without resistance or inductance in the circuit.

Applied Voltage

The external voltage provided to an electrical component or circuit.