Question

Boston HIgh School wants to survey the number of kids using internet and the time spent on it. The graph is the result of an anonymous student survey, representing the number of hours spent on the internet per day by students at Boston High School. Find the INCORRECT statement.

• A. The mode of this data set is $3$ hours
• B. The range of this data set is $3$ hours
• C. $60$% of the students surveyed use the internet $3$ or $4$ hours per day
• D. The median is smaller than the mean for this set of data.

Answer 1

Answer: (B), (D)

The correct options are
B The range of this data set is $3$ hours
D The median is smaller than the mean for this set of data.

Option 1 is correct: The mode of this data set is $3$ hours, because $8$ number of students using the internet.
Option 2 is correct: The range of this data set is $3$ hours. Range $=$ maximum hour $-$ minimum hour $=4-1=3$ hours
Option 3 is correct: $60\%$ of the students surveyed use the internet $3$ or $4$ hours per day.
Option 4 is incorrect: Mean $=$ $\frac{1+7+8+4}{4}=5$
Median : $1,4,7,8$
Median $=$ $\frac{4+7}{2}=5.5$
So, here the median is larger than the mean.
Therefore, Option D is incorrect.