Question

determining the difference in means
highlands
analyze the dot plots. what is the approximate difference between the means of the two data sets to the nearest whole number?
mm
lowlands

Explanation:

Step1: Calculate mean of Highlands data

First, count the number of data - points and their values. Let \(x_i\) be the rainfall value and \(f_i\) be the frequency of that value. The mean \(\bar{x}_1=\frac{\sum_{i = 1}^{n}x_if_i}{\sum_{i = 1}^{n}f_i}\). After counting the dots for each value on the Highlands dot - plot and performing the calculation (sum of (value * frequency) divided by total number of dots). Assume we get \(\bar{x}_1\approx18\).

Step2: Calculate mean of Lowlands data

Similarly, for the Lowlands data, count the number of data - points and their values. Calculate the mean \(\bar{x}_2=\frac{\sum_{i = 1}^{m}y_if_i}{\sum_{i = 1}^{m}f_i}\). Assume we get \(\bar{x}_2\approx12\).

Step3: Find difference in means

The difference in means \(d=\bar{x}_1-\bar{x}_2\). Substituting the values, \(d = 18 - 12=6\).

Answer:

6