Question

(1) identify the appropriate graph you would use , Bar graph or pie chart ...etc

(2) state whether the data are qualitative or quantitative

(3) If qualitative-identify as ordinal or nominal, if quantitative-identify as ratio or interval NARIOS:

a) She wants to understand the distribution of the current stock price to earnings ratio for the companies in the Sow BOB Industrial Average.

b) Jessica wants to investigate the distribution of the heights of the 50 students currently taking mgmt 215

c) Emma wants to understand M school's annual electricity usage from 1970 to 2018.

d) Jone wants to see if there is a relationship between the weight of an electric car and the distance that is can travel on a full charge.

e) The A School of Math wants to compare the number of undergrads in each major that they offer.

Answer 1

Part a)

“Current stock price to earnings ratio” is a quantitative value, and since it is a ratio of two different numbers it comes under ratio scale

For such a scenario where a continuous variable is involved “Line graph:” is the best form of representation of it. Genrally all stock prices are represented by line graphs in the best manner

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Part b)

Height is a continuous quantitative variable with actual zero value, thus it follows ratio scale

It depends how the data is arranged, if we can arrange the height in groups and then count number of people in each height group the data can be represented in form of histogram. Histogram is best used ot represent continuous data that can be groups by bin values

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Part c)

In this data there are two variables annual electricity usage from years from 1970 to 2018

1970 to 2018 is quantitative data, but there zero is not meaningful hence it is interval scale.

Electricity consumption is a quantitative continuous variable in which actual zero value is meaningful and hence it is ratio scale

Years can be plotted on x axis and consumption on y axis and then a bar graph can be used to present the time based data

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Part d)

Weight of electric car is again continuous and quantitative variable it also comes under ratio scale

Distance is again continuous quantitative and actual zero is meaningful which brings it under ratio scale

For such a data set XY scatter plot is the best to depict the relation between these two variables. Scatterplots are special graphic tools to represent linear relation between two variables

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Part e)

Different majors is a categorical data, it cannot be arranged in order hence it is measured by nomial scale

The number of students in each category or majors is quantitative and discreet

The best chart to present this data is a pie chart which brings a clear comparison of number of students in each major