Question

the dataset represents the number of returns with foreign earned income exclusion for the years 1990 - 2000. a = 204053, 222057, 252629, 243928, 257240,266129, 279004, 297534, 308284, 314486, 358391 calculate the following statistics using a calculator: mean range

Explanation:

Step1: Calculate the mean

The mean $\bar{x}$ of a data - set $x_1,x_2,\cdots,x_n$ is given by $\bar{x}=\frac{\sum_{i = 1}^{n}x_i}{n}$. Here $n = 11$ and $\sum_{i=1}^{11}x_i=204053 + 222057+252629+243928+257240+266129+279004+297534+308284+314486+358391=2803715$. So, $\bar{x}=\frac{2803715}{11}\approx254883.18$.

Step2: Calculate the range

The range of a data - set is the difference between the maximum and the minimum values. The maximum value in the data - set $A$ is $358391$ and the minimum value is $204053$. So, the range is $358391 - 204053=154338$.

Answer:

Mean: $\approx254883.18$
Range: $154338$