Transcript: Calculating ticket sales median and mode quiz
Remember, Hayden and Bo have already tallied the tickets so far. Based on their tally, we know that:
346 tickets were purchased by people aged 11 to 15;
390 tickets were purchased by people aged 16 to 20;
219 tickets were purchased by people aged 21 to 25;
240 tickets were purchased by people aged 26 to 30;
119 tickets were purchased by people aged 31 to 35;
129 tickets were purchased by people aged 36 to 40;
22 tickets were purchased by people aged 41 to 45;
42 tickets were purchased by people aged 46 to 50;
24 tickets were purchased by people aged 51 to 55;
and 31 tickets were purchased by people over the age of 55.
Question 1:
Which age range represents the mode of the ticket sales so far?
a) 11 to 15;
b) 16 to 20;
c) 21 to 25 or;
d) 26 to 30.
Hint:
In a set of numbers, the mode is the one that appears most frequently. Here, we want to know which age range was selected most often. You can figure this out by looking for the age range that has the most tickets sold.
Question 2:
Which age range represents the median of the ticket sales so far?
a) 16 to 20;
b) 21 to 25;
c) 26 to 30 or;
d) 31 to 35.
Hint:
The median is the value in the middle. Imagine all 1562 tickets sold lined up in a row, starting with the lowest age range and going to the highest. The middle of the row, which will be the halfway point of all 1562 tickets, is between the 781st and 782nd tickets (since 1562 is an even number, and 1562 divided by 2 equals 781).
To find tickets 781 and 782, add up the number of tickets sold in each group until you get to the ticket numbers you’re looking for. What age range has the middle value?
Answers:
Question 1 – b) 16 to 20.
Question 2 – b) 21 to 25.