How can I find how many standard deviations away from the mean a value is by using the empirical rule?

The first part of the empirical rule states that 68% of the data values will fall within 1 standard deviation of the mean. To calculate "within 1 standard deviation," you need to subtract 1 standard deviation from the mean, then add 1 standard deviation to the mean. That will give you the range for 68% of the data values.

197 − 46 = 151 197 + 46 = 243

The range of numbers is 151 to 243

The second part of the empirical rule states that 95% of the data values will fall within 2 standard deviations of the mean. To calculate "within 2 standard deviations," you need to subtract 2 standard deviations from the mean, then add 2 standard deviations to the mean. That will give you the range for 95% of the data values.

197 − 2 ⋅ 46 = 105 197 + 2 ⋅ 46 = 289

The range of numbers is 105 to 289

Finally, the last part of the empirical rule states that 99.7% of the data values will fall within 3 standard deviations of the mean. To calculate "within 3 standard deviations," you need to subtract 3 standard deviations from the mean, then add 3 standard deviations to the mean. That will give you the range for 99.7% of the data values.

197 − 3⋅ 46 = 59 197 + 3 ⋅ 46 = 335

The range of numbers is 59 to 335

Finally, we can use the symmetry of the bell curve to further divide up the percentages.

2.35% of the data values will lie between 59 and 105

13.5% of the data values will lie between 105 and 151

34% of the data values will lie between 151 and 197

34% of the data values will lie between 197 and 243

13.5% of the data values will lie between 243 and 289

2.35% of the data values will lie between 289 and 335

range is infinite on both x and y axis positive and negative

step-by-step explanation:

"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: