Consider the following table:
A)The percentage of people with a height of 74 in.is close to 24 percent.
B)The average height of the sample is 70 in.
C)Most of the people in the sample are taller than or as tall as 70 in.
D)The most common height mode.in the sample is 70 in.
E)All of these are true.

Question

Consider the following table: 
A)The percentage of people with a height of 74 in.is close to 24 percent. 
B)The average height of the sample is 70 in. 
C)Most of the people in the sample are taller than or as tall as 70 in. 
D)The most common height mode.in the sample is 70 in. 
E)All of these are true.

Quizplus · Accepted Answer

A) Calculating the percentage of people with a height of 74 in., we get (6/25)*100 = 24% (approximately).
B) Average height can be calculated by adding all the heights and dividing by the total number of people. Adding all the heights (68+70+70+72+72+74+74+74+76+78+78+80) gives 900. Dividing by 12 (total number of people), we get 75. Thus, the average height is 75 in. This statement is incorrect.
C) From the calculated average height in option B (which is incorrect), we can't infer if most people in the sample are taller than or as tall as 70 in. Hence, this statement is incorrect.
D) The mode is the height that appears the most number of times in the sample. Here, the mode is 74 in. Hence, this statement is incorrect.
E) From option A, we know that approximately 24% of people have a height of 74 in. This means the majority of the people are less than 74 inches tall. So, most of the people in the sample are shorter than 74 in. We can see that the average height is skewed towards the right since there are only two people with a height less than 70 in. Hence, the answer is E, all of these are true.

Consider the Following Table