Question

6. Histograms:
a) How is the histogram related to the frequency plot?
i. When does a histogram look exactly like a frequency plot?
b) What visual information do you get from a histogram?
c) How can you tell what interval contains the most data points?
d) What is the relation between histograms and the cumulative distribution function?

e) ​The probability of winning at American roulette is 1/38 .
What is your expected number of wheel spins to get your first winner? ​

Answer 1

6(a)

Histogram is the graphical representations of quantitative data in the form of bar with no spaces between them to depict frequency distribution while frequency plot is the pictorial representation of categorical data in the form of bar with spaces between them to depict numerical data.

6(I)

when space and width between bars is equal.

6(b)

Histogram gives corresponding frequency (On vertical axis) for class intervals (On Horizontal axis)

6(c)

According to frequency on vertical Axis. Those class interval whose frequency is most then this class interval will contains most data points.

d)

C​​umulative distribution function is a running total. We add each frequency to the ones before to get a total.

These cumulative frequencies are plotted against the upper class boundaries to give us a cumulative frequency.