What is the mean absolute deviation (MAD) of the data set?
{11, 10, 17, 18}

The mean absolute deviation (MAD) of the data set is 3.5

Step-by-step explanation:

Step 1: What is MAD?

MAD is the average distance between each data value. <MAD> is used to see variation of the data. The larger the MAD, the further apart the numbers are.(and vice versa)

Step 2: Find the mean

11 + 10 + 17 + 18 = 56

56/4 = 14

Step 3: Formula to find the Absolute Deviations or distance of the data value to the mean

Find the absolute value of the difference between each data value and the mean:        | data value – mean |      or        I mean - data value I

Step 4: Find the Absolute Deviations

14 - 11 = 3

14 - 10 = 4

17 - 14 = 3

18 - 14 = 4

Step 5: FInd the mean of the Absolute Deviations or MAD

3 + 4 + 3 + 4= 14

14/4 = 3.5

"it's not the heat, it's the humidity".   that's a partly valid phrase you may have heard in the summer, but it's actually both.   the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature.   this has important considerations for the human body's comfort.   when the body gets too hot, it begins to perspire or sweat to cool itself off.   if the perspiration is not able to evaporate, the body cannot regulate its temperature.   evaporation is a cooling process.   when perspiration is evaporated off the body, it effectively reduces the body's temperature.   when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases.   in other words, the human body feels warmer in humid conditions.   the opposite is true when the relative humidity decreases because the rate of perspiration increases.   the body actually feels cooler in arid conditions.   there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation: