Question

In september, seattle's daily high temperature has a mean of 70 °f and a standard deviation of 7 °f. What are the mean, standard deviation, and variance in °c?

Answer 1

The mean daily high temperature in Seattle for September converts to 21.11°C, the standard deviation converts to 3.89°C, and the variance is 15.13°C².

Step-by-step explanation:

To convert Seattle's mean daily high temperature in September from Fahrenheit to Celsius, we use the formula °C = (°F - 32) × 5/9. So, the mean temperature in Celsius is (70°F - 32) × 5/9 which equals 21.11°C.

The conversion for standard deviation involves only the ratio part of the conversion factor since standard deviation is a measure of spread and not dependent on the starting point of the scale. The standard deviation in Celsius is 7°F × 5/9, which equals 3.89°C.

To find the variance in Celsius, we square the standard deviation in Celsius (3.89°C), resulting in 15.13°C².

Answer 2

mean= is the summation of the maximum temperatures ÷ the numbers of times the temperatures where recorded

standard deviation= is a number used to tell how measurements for a group are spread out from the average (mean), or expected value.

A low standard deviation means that most of the numbers are very close to the average.

A high standard deviation means that the numbers are spread out.

Variance= is a way to measure how far a set of numbers is spread out.

A variance of zero indicates that all of the data values are identical. All non-zero variances are positive.

A small variance indicates that the data points tend to be very close to the mean, and to each other.

A high variance indicates that the data points are very spread out from the mean, and from one another.