Question

The line plots show the number of hours two groups of kids spent studying last weekend.

How does the data compare for the two groups of kids?

A: The 14- to 17-year olds spent more hours studying, on average, last weekend than the 10- to 13-year olds.

B: The median value for the hours spent studying last weekend for the 10- to 13-year olds is greater than the median value for the hours spent studying last weekend for the 14- to 17-year olds.

C: The 10- to 13-year olds spent an average of 6 hours studying last weekend.

D: The range for the hours spent studying last weekend for the 10- to 13-year olds is the same as the range for the hours spent studying last weekend for the 14- to 17-year olds.

Answer 1

The 14- to 17-year olds spent more hours studying, on average, last weekend than the 10- to 13-year olds.

Answer 2

Answer: A: The 14- to 17-year olds spent more hours studying, on average, last weekend than the 10- to 13-year olds

Step-by-step explanation:

From the given line plot we observe the total number of hours spent by 10 to 13 years olds is 1+1+2+4+4+4+4+6+6+7+8= 47 hours and for 14 to 17 years old is 4+4+4+4++6+7+8+9+9+10+10= 105 hours.

Median for 10 to 13 years = 4hours

Median for 14 to 17 years = 7 hours

Average hours spent by 10 to 13 years =47÷2=23.5

Average hours spent by 14 to 17 years =105÷2=52.5

Range of hours spent by 10 to 13 years = 8-1=7

Range of hours spent by 14 to 17 years =10-4=6

Among all the given options option A is right.

A: The 14- to 17-year olds spent more hours studying, on average, last weekend than the 10- to 13-year olds