1. Gabriel buys 8 DVDsat Discount Dan's DVD shop.Three cost 10.50 2cm 57.75,1 com 5.25 and 2con 3.50 Find the mean, median and mode of the costs of his ovos.

## Step 1: Calculate the Total Cost<br />### We are given the costs of the 8 DVDs Gabriel bought. Three cost $10.50 each, two cost $7.75 each, one costs $5.25, and two cost $3.50 each. To find the total cost, we multiply the number of DVDs by their respective prices and sum the results: $(3 \times \$10.50) + (2 \times \$7.75) + (1 \times \$5.25) + (2 \times \$3.50) = \$31.50 + \$15.50 + \$5.25 + \$7.00 = \$59.25$.<br /><br />## Step 2: Calculate the Mean<br />### The mean is the total cost divided by the number of DVDs. Mean $= \frac{\text{Total Cost}}{\text{Number of DVDs}} = \frac{\$59.25}{8} = \$7.40625 \approx \$7.41$.<br /><br />## Step 3: Calculate the Median<br />### To find the median, we first arrange the DVD prices in ascending order: $3.50, 3.50, 5.25, 7.75, 7.75, 10.50, 10.50, 10.50$. Since there are 8 DVDs (an even number), the median is the average of the 4th and 5th values. Median $= \frac{\$7.75 + \$7.75}{2} = \$7.75$.<br /><br />## Step 4: Calculate the Mode<br />### The mode is the value that appears most frequently. In this case, the price $10.50 appears three times, which is more frequent than any other price. Therefore, the mode is $10.50.