3) (4.5 points) The histogram below displays the number of confirmed influenza c

Question

3) (4.5 points) The histogram below displays the number of confirmed influenza cases by age (in years) across Kentucky hospitals from 2012 to 2017. 140 1 120 a) (1 point) How would you describe the modality of this histogram? Why b) (1 point) In general, does this histogram have a negative skew, positive skew c) (1 point) How would you describe the spread of this histogram? Why would d) (1.5 point) Based on this histogram and your answers to parts (a). (b), and would you describe it this way? or no skew? Explain your reasoning. you describe it this way? (c), what conclusions can you make about the ages of confirmed cases of influenza from 2012 to 20177 Make sure your answer is clear, detailed, and justified

Explanation / Answer

a) The histogram has two modes, one at the age group 1-5 ; the other at the age groups 61-65 and 66-70

So this is a bimodal distribution.

As we can see the highest frequency is at the class 1-5 and then the frequency decreases . But then at the age group 61-65 and 66-70 the frequency rises (Though not as much as class 1-5) and again decreases. Because of this cyclic behavior, we consider two modes although the latter mode is not as much high as the prior one.

b) In general, we can say the histogram has a negative skewness.

Because we can observe that the principal mode is on the extreme left, and there is lesser frequencies on higher age groups. Thus it is a negatively skewed distribution in general.

[If you need mathematical proof, let me know in the comment section]

c) As we can see there is a wide range of age groups and the total frequency is distributed among all the classes, visually the X axis in this graph is a longer one.So, the spread of this data is high.

d) So, based on the above results, we cam conclude that :

Influenza in kentucky between 2012-17 has attacked the infant group (1-5 years) the most and again the older people (61-70). ie, the no of victims decreases as age increases till age 60, and then the risk rises again.

If you have any doubts, let mw know in the comment setion. Thnk you

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