Question

prime pizza shop allows customers to place delivery and takeout orders. the table shows the number of delivery orders and the number of takeout orders for a 7 - day sample. complete the table. write your answers as whole numbers or decimals rounded to the nearest tenth.

Explanation:

Step1: Calculate the mean of takeout orders

The formula for the mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$. Here, $n = 7$ and $x_{i}$ are the takeout values: $53,49,46,45,51,59,54$.
$\sum_{i=1}^{7}x_{i}=53 + 49+46+45+51+59+54=357$
$\bar{x}=\frac{357}{7}=51$

Step2: Calculate the mean absolute deviation of takeout orders

The formula for the mean absolute deviation (MAD) is $MAD=\frac{\sum_{i = 1}^{n}\vert x_{i}-\bar{x}\vert}{n}$
$\vert53 - 51\vert=2$, $\vert49 - 51\vert=2$, $\vert46 - 51\vert=5$, $\vert45 - 51\vert=6$, $\vert51 - 51\vert=0$, $\vert59 - 51\vert=8$, $\vert54 - 51\vert=3$
$\sum_{i = 1}^{7}\vert x_{i}-\bar{x}\vert=2 + 2+5+6+0+8+3=26$
$MAD=\frac{26}{7}\approx3.7$

Answer:

The mean of takeout orders is $51$ and the mean absolute deviation of takeout orders is approximately $3.7$