Question

while creating a pie chart for a collection of data, the category executive has relative frequency 0.17. how large is the corresponding wedge in the pie chart, to the nearest degree?

Explanation:

Step1: Recall the formula for the angle of a pie chart wedge

The total degrees in a circle (pie chart) is \(360^\circ\). The angle of a wedge corresponding to a category is given by the product of the relative frequency of the category and \(360^\circ\). So the formula is \(\text{Angle} = \text{Relative Frequency} \times 360^\circ\).

Step2: Substitute the given relative frequency

We are given the relative frequency as \(0.17\). Substituting this into the formula, we get \(\text{Angle}=0.17\times360^\circ\).

Step3: Calculate the product

Calculating \(0.17\times360 = 61.2\).

Step4: Round to the nearest degree

Rounding \(61.2\) to the nearest degree gives \(61\).

Answer:

\(61\) degrees