HEL??? A group of 20 people from the retirement community is visiting the fair today. Each person is between 75 and 79 years old and will participate in either the Pie Eating Contest or the Chili Cookoff. If all 20 people joined the same event, how would the shape of the histogram change compared to the original?

b) The Pie Eating Contest would be more skewed

Step-by-step explanation:

Let's begin by drawing out a frequency distribution table for the given information:

Pie Eating Contest

Age Group (Years)   Frequency

        0 - 19                       20

       20 - 39                     40

       40 - 59                     60

       60 - 79                     50

If all 20 people (aged 75 - 79) joined this event, the frequency tables changes to become:

Pie Eating Contest (2)

Age Group (Years)   Frequency

        0 - 19                       20

       20 - 39                     40

       40 - 59                     60

       60 - 79                     70

Chili Cookoff

Age Group (Years)   Frequency

        0 - 19                       30

       20 - 39                     50

       40 - 59                     40

       60 - 79                      10

If all 20 people (aged 75 - 79) joined this event, the frequency tables changes to become:

Chili Cookoff (2)

Age Group (Years)   Frequency

        0 - 19                       30

       20 - 39                     50

       40 - 59                     40

       60 - 79                     30

The graphical representation of each event is attached as a picture

A histogram is skewed if its frequency distribution is biased to one side (either to the left or to the right). This implies that the histogram is not evenly distributed. When the histogram is cut into equal halves, the left side and the right side look unidentical.

A histogram is symmetrical if its frequency distribution is neither biased to the right or to the left. It implies that the histogram is evenly distributed across the left and the right side. When the histogram is cut into equal halves, the left side and the right side look identical.

When we consider the event in which all 20 people join the Pie Eating Contest, the histogram becomes skewed to the right.

When we consider the event in which all 20 people join the Chili Cookoff, the histogram becomes more symmetrical

We will observe that when all 20 people joined the Pie Eating Contest, the histogram becomes more skewed to the right and less symmetrical. On the other hand, if all 20 people join the Chili Cookoff, the histogram becomes more symmetrical and less skewed

We will observe that when all 20 people joined the Pie Eating Contest, the histogram becomes more skewed to the right and less symmetrical. On the other hand, if all 20 people join the Chili Cookoff, the histogram becomes more symmetrical and less skewed

Hence, the correct answer is option b) The Pie Eating Contest would be more skewed

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