Question

the ages of the people who came to a birthday party are shown below. 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 data type

The data represents ages (numerical values), so it is quantitative, not qualitative.

Step2: Check skewness

The histogram has a longer tail on the left, so it is skewed left, not right.

Step3: Calculate number of people

Sum the frequencies: $5 + 13+8 + 3+2=31$.

Step4: Determine presence of children

Since there is a non - zero frequency in the 0 - 20 age group, there were children at the party.

Step5: Identify most common age

The age group with the highest frequency is 21 - 40, not 13 years old (13 is not an age group here).

Step6: Check age majority

The sum of frequencies of age groups 0 - 20, 21 - 40 and 41 - 60 is $5 + 13+8=26$, which is more than half of 31. So the majority of people were less than 61 years old.

Answer:

There were 31 people at the party.
There were children at the party.
The majority of the people at the party were less than 61 years old.