Question

the ideal weight (in stones) of people of varying heights is given in the table below. draw a scatter plot for the data.
height (feet/inches) 5 ft 0\ 5 ft 1\ 5 ft 2\ 5 ft 3\ 5 ft 4\ 5 ft 5\
weight (stones) 9.1 9.5 9.8 10 10.4 10.8
a.
b.
c.
d.

Explanation:

Step1: Analyze the x - axis (height) and y - axis (weight) values

The height values are \(5\ ft\ 0''\), \(5\ ft\ 1''\), \(5\ ft\ 2''\), \(5\ ft\ 3''\), \(5\ ft\ 4''\), \(5\ ft\ 5''\) and the corresponding weight values are \(9.1\), \(9.5\), \(9.8\), \(10\), \(10.4\), \(10.8\).

Step2: Check the scatter - plot axes labels and data points

In a scatter - plot, the x - axis should be labeled as "Height" and the y - axis as "Weight". Each data point \((\text{height},\text{weight})\) should be plotted correctly.
For example, for \(5\ ft\ 0''\) (x - value) and \(9.1\) (y - value), we look for the point on the graph where the x - coordinate corresponds to \(5\ ft\ 0''\) and y - coordinate corresponds to \(9.1\).

Step3: Evaluate each option

• Option a: The x - axis is labeled incorrectly (the height labels \(6t1'\) etc. are wrong).
• Option b: There is no proper x - axis and y - axis labeling and no data points plotted.
• Option d: The y - axis is not properly scaled (only one point \(10.8\) is shown).
• Option c: The x - axis is labeled as "Height" and the y - axis as "Weight". The data points \((5\ ft\ 0'',9.1)\), \((5\ ft\ 1'',9.5)\), \((5\ ft\ 2'',9.8)\), \((5\ ft\ 3'',10)\), \((5\ ft\ 4'',10.4)\), \((5\ ft\ 5'',10.8)\) are plotted correctly.

Answer:

C.