Question

For the past 20 years, the high temperature on April 15th has averaged = 92 degrees with a standard deviation of = 4. But on the recent April 15 date, the 21st year, the high temperature was 102 degrees. Based on this information, the recent year's temperature on April 15th was ________________.

Answer 1

Answer:

96.8degrees.

Step-by-step explanation:

Average is 92 degrees with 20 years of temperature data that means sum of total temperatures (taken on each 15 April) divided by 20 = 92 degree.

Now we want to know the new average temperature on 21 year with new temperature taken on 15 April being equal to 102 degrees.

We can add new temperatures to the previous sum and this time divide by 21 because it is 21st year this time.

$\frac{Sum-of-total-temperatures}{20-years}$ is equal to 92 to get total temperature multiply both sides by 20 which gives sum of total temperature = 1932.

Let's add new temperature in it, 1932+102=2034 and divide it by 21.

2034/21=96.86 this gives us recent year's temperature on April 15.