Question

E in each problem below. Please use a calculator

2
During a seven day winter storm, snow
fall levels were recorded in this table.
Find the mean, median and Mode.

Answer 1

• Mean = 1.8 inches
• Median = 1.5 inches
• Mode = 2.5 inches

Explanation:

Given data:

Snow Fall (in.)

`\sf 2.5, 1.2, 0.0, 3.9, 1.0, 2.5, 1.5`

To find:

• The mean, median, and mode

Solution:

Mean (Average):

The mean is calculated by summing up all the values and then dividing by the total number of values.

`\sf Mean =( (2.5 + 1.2 + 0.0 + 3.9 + 1.0 + 2.5 + 1.5) )/( 7)`

`\sf Mean = (12.6 )/( 7)`

`\sf Mean ≈ 1.8 \textsf{ (rounded to one decimal place)}`

So, the mean snowfall level is approximately 1.8 inches.

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Median (Middle Value):

In order to find the median, first, you need to arrange the values in ascending order:

`\sf 0.0, 1.0, 1.2, 1.5, 2.5, 2.5, 3.9`

Since there are 7 values, the median is the middle value, which is the fourth value in this case:

Median = 1.5 inches

So, the median snowfall level is 1.5 inches.

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Mode (Most Common Value):

The mode is the value that appears most frequently in the dataset.

In this case,

The value 2.5 appears twice, which is more frequent than any other value.

So:

Mode = 2.5 inches

So, the mode snowfall level is 2.5 inches.

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Summary:

• Mean = 1.8 inches
• Median = 1.5 inches
• Mode = 2.5 inches