the given table shows the profits earned by two food trucks during the summer months.\nfood truck profits…

the given table shows the profits earned by two food trucks during the summer months.\nfood truck profits ($)\n| | pizza truck | burger truck |\n|--|--|--| \n| may | 400 | 800 |\n| june | 800 | 700 |\n| july | 1,000 | 900 |\n| august | 1,000 | 800 |\nclick all true statements about the data.\na. the pizza truck has the same mean profit as the burger truck.\nb. the burger truck has the same median profit as the pizza truck.\nc. the pizza truck has a greater mean profit than the burger truck.\nd. the burger truck has a greater median profit than the pizza truck.\ne. the pizza truck has a greater median profit than the burger truck.

the given table shows the profits earned by two food trucks during the summer months.\nfood truck profits ($)\n| | pizza truck | burger truck |\n|--|--|--| \n| may | 400 | 800 |\n| june | 800 | 700 |\n| july | 1,000 | 900 |\n| august | 1,000 | 800 |\nclick all true statements about the data.\na. the pizza truck has the same mean profit as the burger truck.\nb. the burger truck has the same median profit as the pizza truck.\nc. the pizza truck has a greater mean profit than the burger truck.\nd. the burger truck has a greater median profit than the pizza truck.\ne. the pizza truck has a greater median profit than the burger truck.

Answer

Explanation:

Step1: Calculate mean profit of Pizza Truck

The formula for the mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$. For the Pizza - Truck, $x_1 = 400$, $x_2=800$, $x_3 = 1000$, $x_4 = 1000$, and $n = 4$. So, $\bar{x}_{pizza}=\frac{400 + 800+1000 + 1000}{4}=\frac{3200}{4}=800$.

Step2: Calculate mean profit of Burger Truck

For the Burger - Truck, $x_1 = 800$, $x_2=700$, $x_3 = 900$, $x_4 = 800$, and $n = 4$. So, $\bar{x}_{burger}=\frac{800 + 700+900 + 800}{4}=\frac{3200}{4}=800$.

Step3: Calculate median profit of Pizza Truck

Arrange the profits of the Pizza - Truck in ascending order: $400,800,1000,1000$. Since $n = 4$ (even), the median $M=\frac{800 + 1000}{2}=900$.

Step4: Calculate median profit of Burger Truck

Arrange the profits of the Burger - Truck in ascending order: $700,800,800,900$. Since $n = 4$ (even), the median $M=\frac{800 + 800}{2}=800$.

Answer:

A. The Pizza Truck has the same mean profit as the Burger Truck. E. The Pizza Truck has a greater median profit than the Burger Truck.