## Related questions with answers

CitiBank recorded the number of customers to use a downtown ATM during the noon hour on 32 consecutive workdays.

(a) Find the mean, median, and mode.

(b) Do these measures of center agree? Explain.

(c) Make a histogram or dot plot.

(d) Are the data symmetric or skewed? If skewed, which direction?

$\begin{array}{rrrrrrrr}25 & 37 & 23 & 26 & 30 & 40 & 25 & 26 \\ 39 & 32 & 21 & 26 & 19 & 27 & 32 & 25 \\ 18 & 26 & 34 & 18 & 31 & 35 & 21 & 33 \\ 33 & 9 & 16 & 32 & 35 & 42 & 15 & 24\end{array}$

Solution

Verified$(a)$ To find the **sample mean**, denoted by $\bar{x}$, we use the following formula:

$\bar{x} = \frac{\sum_{i=1}^n x_i}{n}, \tag{1}$

where

- $x_i$ are the $x$-values,
- $n$ is the number of items in the sample.

The **median** is the number in the middle of a set of numbers if $n$ is odd and the average of the two middle terms' values if $n$ is even. Keep in mind that the data need to be sorted in increasing order.

The **mode** is the most common number in the data set.

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