Question

The line plot shows the ages of participants in two groupactivities at a science center.What conclusion can be drawn about the data sets?хXххXXXХххх10 111213141516171819 20 21222324 25The median age of participants in group 2 is olderthan the median age of participants for group1.Age of participants - group1The mean age of participants in group 2 is youngerthan the mean age of participants in group 1.хXххххXхххххххXХХX191011121314151617182021222324 25Group 1 participants have a greater range in age thangroup 2 participants.Age of participants-group 2More 14- and 15-year olds are in group 2 than ingroup 1.

Answer 1

From the provided image, we can calculate the different measures of central tendency as follows:

Group 1

Mean:

`(10+12+(13*2)+(14*4)+(15*5)+(16*2)+17+18+(19*2)+20)/(20)=15.2`

Median: 15

Range:

`20-10=10`

Group 2

Mean:

`((11*2)+12+13+14+(15*2)+(16*2)+(17*4)+(18*3)+19+20+23+25)/(20)=16.6`

Median: 17

Range:

`25-11=14`

Comparison of both data sets

1) The mean of Group 2 is larger than that of group 1.

2) Group 2 has a larger median score.

3) Group 2 has a greater range.

ANSWER

The FIRST OPTION is correct.