Question

a meteorologist is studying the monthly rainfall in a section of the brazilian rainforest. she recorded the monthly rainfall, in inches, for last year. they were:

10.4, 10.3, 11.7, 11.1, 8.0, 4.4, 2.6, 1.8, 2.5, 4.4, 7.3, 9.5

calculate the following for the data set:

mean:
median:
mode:
range:

Explanation:

Order the data set

Using the Basic Statistics knowledge point
The given monthly rainfall data set (12 values) ordered from least to greatest is:

$$ 1.8, 2.5, 2.6, 4.4, 4.4, 7.3, 8.0, 9.5, 10.3, 10.4, 11.1, 11.7 $$

Calculate the mean

Using the Measures of Center knowledge point

$$
LATEXBLOCK0
$$

Calculate the median

Using the Measures of Center knowledge point

$$
LATEXBLOCK1
$$

Determine the mode

Using the Measures of Center knowledge point
The value that appears most frequently is \(4.4\) (occurring twice).

$$ \text{Mode} = 4.4 $$

Calculate the range

Using the Measures of Spread knowledge point

$$
LATEXBLOCK2
$$

Answer:

Mean: 7
Median: 7.65
Mode: 4.4
Range: 9.9