the graph below shows the average daily temperatures on january 1 from 1900 to 1934 for city a. average…
the graph below shows the average daily temperatures on january 1 from 1900 to 1934 for city a. average daily temperature jan. 1 - 1900 - 1934 city a the mean of the temperatures in the chart is 24° with standard deviation of 4°. how many years had temperatures within one standard deviation of the mean?
Answer
Explanation:
Step1: Determine the range
The range within one - standard deviation of the mean is from $\mu-\sigma$ to $\mu + \sigma$. Given $\mu = 24^{\circ}$ and $\sigma=4^{\circ}$, the range is $24 - 4=20^{\circ}$ to $24 + 4 = 28^{\circ}$.
Step2: Count the years
Count the number of data - points (years) with temperatures in the range $20^{\circ}$ to $28^{\circ}$ from the graph. By counting the dots in the graph for temperatures between $20$ and $28$ (inclusive), we find that the number of years is 23.
Answer:
23