Question

based on the stem and leaf plot, which statement is true?
a there were more riders between 10 and 38 years of age than there were between 42 and 74 years of age.
b there were exactly 3 riders over the age of 50 years.
c there were 31 riders on the roller coaster.
d there were more riders 14 years of age than riders of any other single age.

Explanation:

Step1: Count the number of riders in each age - group

• For the age group \(10 - 38\) years:
• In the stem \(1\): there are \(6\) leaves (\(0,3,4,4,8,9\)).
• In the stem \(2\): there are \(5\) leaves (\(1,1,1,4,7\)).
• In the stem \(3\): there are \(3\) leaves (\(4,5,8\)).
• Total number of riders in \(10 - 38\) years: \(6 + 5+3=14\).
• For the age group \(42 - 74\) years:
• In the stem \(4\): there are \(3\) leaves (\(2,6,9\)).
• In the stem \(5\): there are \(4\) leaves (\(0,2,3,7\)).
• In the stem \(6\): there is \(1\) leaf (\(2\)).
• In the stem \(7\): there are \(2\) leaves (\(0,4\)).
• Total number of riders in \(42 - 74\) years: \(3 + 4+1 + 2=10\).
• For option B:
• In the stem \(5\): \(4\) riders (\(50,52,53,57\)), in the stem \(6\): \(1\) rider (\(62\)), in the stem \(7\): \(2\) riders (\(70,74\)). Total riders over \(50\) years: \(4 + 1+2=7

eq3\).

• For option C:
• Total number of riders: \(6+5 + 3+3+4+1+2=24

eq31\).

• For option D:
• The number of \(14\) - year - old riders (from stem \(1\), leaf \(4\)) is \(2\). The number of \(21\) - year - old riders (from stem \(2\), leaf \(1\)) is \(3\). So, there are not more \(14\) - year - old riders than riders of any other single age.

Answer:

A. There were more riders between 10 and 38 years of age than there were between 42 and 74 years of age.