Question

In California, we need more rain to sustain the health of our natural environment, argriculture, andeconomic. A group of statistics students in Oxnard College recorded the amount of rain during2016-2017 school year, measuring the intensity by the inches of rain, and the results were:Inches of Rain123456Frequency332334The mean rain intensity, , isinches.Please show your answer to 1 decimal place.The median rain intensity isinches.The rain intensity mode isinches.Please separate your answers by','in bimodal situation. Enter DNE if there is no mode.CalculatorScratchwork Area

Answer 1

Given data:

1. The mean rain intensity

$\bar{x}=\frac{\sum fx}{\sum f}=\frac{66}{18}=3.7\text{ inches}$

2. The median rain intensity,

$\begin{gathered} \text{Median = (}\frac{\text{N+1}}{2})th \\ =(\frac{18+1}{2})th=(\frac{19}{2})th=9.5th\text{ term} \\ \text{The 9.5th term from the frequency table is }4 \\ \text{The median is 4} \end{gathered}$

3. The rain intensity mode (intensity with the highest frequency)

$6$

Therefore,

The mean : 3.7

The median : 4

The mode: 6