Statistics. Part 1. We will use the Best Actor Oscar winners (1970–2001) to learn how to create a histogram using a statistics package, and practice what we’ve learned about describing the histogram. Question 1: Describe the distribution of the ages of the Best Actor Oscar winners. Be sure to address shape, center, spread and outliers Part 2. In this activity, we will use the Best Actor Oscar winners (1970-2001) to: Learn how to use a statistics package to produce the numerical measures, or “descriptive statistics” of a distribution. Get some information about the distribution from its five-number summary Question 1: Getting information from the output: a. How many observations are in this data set? b. What is the mean age of the actors who won the Oscar? c. What is the five-number summary of the distribution? Question 2: Get information from the five-number summary: a. Half of the actors won the Oscar before what age? b. What is the range covered by all the actors’ ages? c. What is the range covered by the middle 50% of the ages?

    Statistics: Histogram

    Part 1: Division

    Shape: The division of the events can be illustrative as nature exact skewed past it shows to accept a longer bottom on the exact margin than on the left margin. This can as-well be observed from the event the events shows to accept a main moderation (44.7) that the median (42.5). This arises from the event that the senile-antique epoch are hither compared to the immature Oscars.

    Center: Most of the men-folks are the intermediate epochs (30-35) as compared to the epochs of other participants. 28% of the participants are at this epoch concatenate.

    Histogram

    There are 8 bins in the histogram

    hist(actor_age$Age,breaks=8)   
     

    From the overhead diagram, most of the Oscars are among the epochs of 35 – 40 years which accounts control 33% of the aggregate Oscars. The actors show to hsenile-antique the lowest compute of Oscars at the epochs of 65-75 years.

    Spread

    As biblical by the histogram, shows that the events concatenate is among 30 and 80, giving the overwhole concatenate to be almost 55. A closer seem at the events shows that the epoch of the employees who accept acquired the Oscars varies a doom.

    Outliers

    From the overhead diagram, winners epochd overhead 75 exhibits an stdispose peculiarity. There quenchedliers mope on the period 75-80.

    A compendious analysis of the division overhead shows that the controlemost compute of Oscar accords control Best Actors among the years 1970 and 2001 were accorded to intermediate-time-honored actors. The epoch division was exact-skewed as shown where actors epochd among 35 and 40 acquired the most accords 10 quenched of 33 (33%). The epoch of the winners concatenated from abquenched 30 to abquenched 80, where 5 quenched of the 32 were epochd among 60 and 80. The overwhole division concatenate was abquenched 55. The variability was brought by the quenchedliers who were epochd among 75 and 80 when they acquired the Oscars.

    Part 2:  Descriptive Statistics

    Question 1

    1. The compute of observations in the events is 33.

    A breakdown of the similar is as shown in the table below:

    30-3535-4040-4545-5050-5555-6060-6565-7070-7575-80
    41064331001
    1. The moderation epoch control Oscar accord winners was 47 years
    2. The five-compute analysis control the events is as supposing below:

    Min= 31

    Max= 76

    Quartiles.

    To obtain the quartiles, the events is disconnected into indecent similar portions. In this circumstance, the events comprises of 32 entries.

    Therefore,

    32 ÷ 4 = 8

    Each quartile contains 8 entries.

    The Q1= 37, Q2 = 42, Q3= 48.

    Therefore, the five-compute analysis is.   

    Min: 31, Q1: 37, Q2: 42, Q3: 48, Max: 76.

    Question 2

    1. Drawing from the five-compute analysis, half of the Accord winners common the Oscars precedently the epoch of 42.
    2. As biblical by the five-compute analysis, the epoch concatenate control whole the actors was from 31 to 76.
    3. The five-compute shows that the primeval quartile was 37 and the third quartile was 48. The epochs among the two quartiles marks the intermediate 50% of the epoch of the accord winners. Therefore, the concatenate expert by the intermediate 50% is:

    Concatenate = Largest value- Minimum value

    The intermediate 50 percent concatenate among 37 and 48

    Therefore,

    Range= 48-37

    Range= 11