Question

The table shows the temperature of ocean water in degrees Celsius at different depths in meters: Depth (meters) 0 500 1,000 1,500 2,000 2,500 3,000 3,500 4,000 Temperature (degrees Celsius) 23. 5 12 6 4. 2 4 2003. 8 3 2002. 8 2 Which scatter plot best represents the data in the table? plots ordered pairs 2, 4000 and 3, 3500 and 3. 5, 3000 and 3. 8, 2500 and 3. 9, 2000 and 4, 1500 and 6, 1000 and 12, 500 and 23, 100 plots ordered pairs 0, 2. 5 and 500, 11. 5 and 1000, 5. 5 and 1500, 4 and 2000, 3. 8 and 2500, 3 and 3000, 2. 2 and 3500, 2. 1 and 4000, 2 plots ordered pairs 0, 23. 5 and 1800, 12 and 1900, 8 and 2000, 5 and 2200, 4 and 2500, 3. 8 and 3000, 3. 2 and 3500, 3 and 4000, 2 plots ordered pairs 0, 23. 5 and 500, 12 and 1000, 6 and 1500, 4. 2 and 2000, 4 and 2500, 3. 8 and 3000, 3 and 3500, 2. 8 and 4000, 2.

Answer 1

You can use the fact that the corresponding values from both the columns are taken into ordered pair (x,y) form to plot them on the 2d graphs (for 2 data values' set)

The scatter plot best representing the data in the table is given by

Option D:   Plots ordered pairs 0, 23. 5 and 500, 12 and 1000, 6 and 1500, 4. 2 and 2000, 4 and 2500, 3. 8 and 3000, 3 and 3500, 2. 8 and 4000, 2.

How are ordered pairs formed for plotting 2d data?

There are two axis in the graph. Horizontal axis and vertical axis. The independent variable is plotted on horizontal axis and dependent variable's values are plotted on vertical axis.

Since the temperature is measured on each value of depth, thus, depth is independent and temperature is depending on the depth.

The data points are ordered as

(independent variables' value, dependent variables' value at that value of independent variable)

Thus, for the given table, we will have:

(0, 23.5), (500, 12), ... points.(it is denoting like what was the value of second variable when first variable was this. Like when depth was 0, temperature was 23.5 degrees Celsius, and so on).

Thus,

The scatter plot best representing the data in the table is given by

Option D:   Plots ordered pairs 0, 23. 5 and 500, 12 and 1000, 6 and 1500, 4. 2 and 2000, 4 and 2500, 3. 8 and 3000, 3 and 3500, 2. 8 and 4000, 2.

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