Question

analyzing a histogram
the ages of the people who came to a birthday party are
shown below.
people at the party
which statements must be true according to the
histogram? check all that apply.
the data is qualitative.
the data is skewed right.
there were 31 people at the party.
there were children at the party.
the most common age of the attendees was 13
years old.
the majority of the people at the party were less
than 61 years old.

Explanation:

Step1: Analyze the data type

The data is about ages (quantitative data), so the statement "The data is qualitative" is false.

Step2: Check for skewness

The histogram has a longer tail on the right (older ages), so the data is skewed right.

Step3: Calculate total number of people

Sum the frequencies: \(6 + 12+8 + 3+2=31\).

Step4: Check age - related statements

The majority (\(6 + 12+8=26\)) of 31 people are in the \(0 - 60\) age range (less than 61 years old). There is no clear indication of children (usually considered \(0 - 12\) or \(0 - 18\)) from the given age - groups (\(0 - 20\) could include non - children). The most common age range (highest frequency) is \(21 - 40\), not a single age of 13.

Answer:

• The data is skewed right.
• There were 31 people at the party.
• The majority of the people at the party were less than 61 years old.