Question

a weatherman tracked the number of rainy days in rome every month last year. weather in rome complete the sentences. the mean of the data is _ rainy days. it describes the ______ of the distribution 7... center 7... spread 8... center 8... spread

Explanation:

Step1: Calculate the total number of rainy days

Count the number of \(x\)s for each value:

• For \(3\): \(2\) \(x\)s (\(3\times2 = 6\))
• For \(5\): \(1\) \(x\) (\(5\times1=5\))
• For \(6\): \(1\) \(x\) (\(6\times1 = 6\))
• For \(7\): \(1\) \(x\) (\(7\times1=7\))
• For \(8\): \(4\) \(x\)s (\(8\times4 = 32\))
• For \(9\): \(2\) \(x\)s (\(9\times2=18\))
• For \(10\): \(1\) \(x\) (\(10\times1 = 10\))

Sum them up: \(6 + 5+6 + 7+32+18+10=84\)

Step2: Calculate the number of data points

Count the total number of \(x\)s: \(2 + 1+1+1+4+2+1=12\)

Step3: Calculate the mean

The mean formula is \(\text{Mean}=\frac{\text{Sum of data}}{\text{Number of data points}}\)

So, \(\text{Mean}=\frac{84}{12}=7\)

The mean is a measure of central tendency, so it describes the center of the distribution.

Answer:

\(7\) … center