Question

In the last 20 days, a resort has experienced some of the heaviest snowfalls of the last four decades. Calculate the mean, median, mode, and range of the following snowfalls.

Day Snowfall (Inches) Day Snowfall (Inches) Day Snowfall (Inches) Day Snowfall (Inches)
1
6
11
16
2
7
8
9
10
3
4
5
15
8
12
10
8
25
12
14
15
8
12
13
14
15
14
15
10
3
10
Meaninches (Round to the nearest tenth as needed.)
Median = inches (Type a whole number or a decimal.)
Mode = inches (Use a comma to separate answers as needed.)
Range =
inches
67899
17
18
19
20
9
9
10
10
3

Answer 1

The mean snowfall is 9.9 inches, the median is 9.5 inches, the modes are 3, 8, and 10 inches, and the range is 22 inches.

Step-by-step explanation:

To calculate the mean, median, mode, and range of snowfall from the given data, first, we list all the snowfall measurements in order: 3, 3, 3, 6, 7, 8, 8, 8, 9, 9, 10, 10, 10, 12, 12, 14, 14, 15, 15, 25. Then we perform the following calculations:

• Mean: Calculate the sum of all snowfall values and divide by the number of days. Mean = (3 + 3 + 3 + 6 + 7 + 8 + 8 + 8 + 9 + 9 + 10 + 10 + 10 + 12 + 12 + 14 + 14 + 15 + 15 + 25) / 20 = 198 / 20 = 9.9 inches.
• Median: The middle value when all snowfall measurements are listed in order. Since there are 20 measurements, the median will be the average of the 10th and 11th values. Median = (9 + 10) / 2 = 9.5 inches.
• Mode: The most frequently occurring number(s) in the data set. Mode = 3, 8, 10 (because these all appear three times).
• Range: The difference between the highest and lowest values. Range = 25 - 3 = 22 inches.