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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.

Respuesta :

The statements that must be true according to the data presented by the considered histogram are:

  • Option 2: the data is skewed right.
  • Option 3: there were 31 people at the party.
  • Option 6: the majority of the people at the party were less than 61 years old.

How to identify skewed graph?

A skewed distribution is a distribution having bias on one of the two sides (either left or right).

It is like leaning mountain on one side (left or right).

  • A left skewed graph have elongated tail on the left side of the main mountain like figure. The mountain like figure is after that elongated tail. It is also called negatively skewed graph.
  • A right skewed graph has elongated tail on the right side of the main mountain like figure. The mountain like figure is before that elongated tail. It is also called positively skewed graph.

The missing image of the considered histogram is attached below.

Checking all the options:

  • Option 1: the data is qualitative.

It is wrong. The data is numeric, and therefore, not describing qualities, so its not a qualitative data.

  • Option 2: the data is skewed right.

The histogram has long tail on the right side, so its right skewed. Thus, this option is correct.

  • Option 3: there were 31 people at the party.

Age group     Frequency (number of people of that age group in party)

0-20                   5

21-40                 13

41-60                  8

61-80                  3

81-100                2

total              5+13+8+3+2 =31

So yes, there were total 31 people at the party as a person can be at max in one age group, so no repeated counting.

  • Option 4: there were children at the party.

From 0 to 20 age group, there were 5 people. But it isn't known if they were < 18 or ≥ 18 (this is the side effect of grouped data, the loss of some information). So this option is not necessarily correct.

  • Option 5: the most common age of the attendees was 13 years old.

It is false. The most common age was from the group 21-40 years old. And 13 is < 20, so it doesn't lie in this group.

Option 6: the majority of the people at the party were less than 61 years old.

Total number of people < 61 = 5+13+8 = 26

26 is more than half of 31 people. So yes, this option is correct.

Thus, the statements that must be true according to the data presented by the considered histogram are:

  • Option 2: the data is skewed right.
  • Option 3: there were 31 people at the party.
  • Option 6: the majority of the people at the party were less than 61 years old.

Learn more about skewed distribution here;

https://brainly.com/question/13111221

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