Question

The graph below shows the average daily temperatures on January 1 from 1900 to 1934 for 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?
20
25
28
35

Answer 1

22,25,27 there are multiple questions that have the same question but different answers on Edge

Explanation:

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Answer 2

25 years

Explanation:

Solution:-

- Data for the average daily temperature on January 1 from 1900 to 1934 for city A.

- The distribution X has the following parameters:

Mean u = 24°C

standard deviation σ = 4°C

- We will first construct an interval about mean of 1 standard deviation as follows:

Interval for 1 standard deviation ( σ ):

[ u - σ , u + σ ]

[ 24 - 4 , 24 + 4 ]

[ 20 , 28 ] °C

- Now we will use the graph given to determine the number of years the temperature T lied in the above calculated range: [ 20 , 28 ].

T1 = 20 , n1 = 2 years

T2 = 21 , n2 = 3 years

T3 = 22 , n3 = 2 years

T4 = 23 , n4 = 4 years

T5 = 24 , n5 = 3 years

T6 = 25 , n6 = 3 years

T7 = 26 , n7 = 5 years

T8 = 27 , n8 = 2 years

T5 = 28 , n9 = 1 years

- The total number of years:

∑ni = n1 + n2 + n3 + n4 + n5 + n6 + n7 + n8 + n9

= 2 + 3 + 2 + 4 + 3 + 3 + 5 + 2 + 1

= 25 years