Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

james just bought a new laptop to take with him to college. before the …

Question

james just bought a new laptop to take with him to college. before the purchase, he compared 8 different models on a variety of factors, including price. the mean price of the laptops he compared was about $508, and the mean absolute deviation was about $129. the laptop james decided to purchase was $489. what can you conclude from these data and statistics? select all that apply. on average, the laptops james compared varied in price by about $129. james compared more than 5 different laptop models. the typical price of the laptops james compared was more than the price of the laptop he bought.

Explanation:

Step1: Recall mean absolute deviation

The mean absolute deviation (MAD) represents the average distance between each data - point and the mean. Here, MAD is about $129$, so on average, the laptops James compared varied in price by about $129$.

Step2: Check number of models

It is stated that James compared 8 different models, which is more than 5.

Step3: Compare mean and purchase price

The mean price of the laptops he compared was about $508$ and the laptop he purchased was $489$. So the typical price (mean) was more than the price of the laptop he bought.

Answer:

On average, the laptops James compared varied in price by about $129$.
James compared more than 5 different laptop models.
The typical price of the laptops James compared was more than the price of the laptop he bought.