Question

Twenty-five randomly selected students were asked the number of movies they watched the previous week. The results are as follows.

Short answer

a. The histogram of the given data :

b. The complete chart of columns :

Step-by-step solution

Given information

Twenty-five randomly selected students were asked the number of movies they watched the previous week. The results are as follows.

Explanation of solution (Part a)

The histogram is a graphical representation of the frequency of data values that uses rectangles. There are two axes in it: one horizontal and one vertical. The data represents the horizontal axis, which is labelled. Frequency or relative frequency is labelled on the vertical axis.

Explanation of solution (Part b)

The ratio of the frequency of a specific data item to the sum of frequencies is known as the relative frequency in statistics. The relative frequencies are calculated using the following formula:

Relative Frequency $=\frac{\text{Frequency}}{\text{Sum of frequencies}}$

For instance, the relative frequency for the number of films 0 is :$\frac{5}{25}=0.2$

The cumulative relative frequency is the sum of the relative frequencies before it. To get the cumulative relative frequencies, multiply the current row's relative frequency by all preceding relative frequencies. The cumulative relative frequencies for the number of films 0 and 1 are, for example:

Cumulative Relative Frequency$\left(0\right)=0.2$

Cumulative Relative Frequency (1) localid="1649170366651" $=0.2+0.36$

$=0.56.$