Question

The favorite colors of 25 students in a class are given below:
Blue, Red, Green, White, Blue, Green, White, Red, Orange, Green, Blue, White, Blue, Orange, Blue, Blue, White, Red, White, White, Red, Green, Blue, Blue, white.
Write the frequency distribution table using tally marks for the data. Which is the least favorite color for the students?

Answer 1

Hint: We draw a frequency distribution table of the favorite colors using the knowledge of tally marks that after every four vertical lines the fifth line is a diagonal line to the four lines.
* Tally mark is an easy way to keep track of counting in packs of five.
* Tally marks is also called hash marks

Complete step-by-step answer:
Here we use the given data of favorite colors of students in a class.
We have the data as: Blue, Red, Green, White, Blue, Green, White, Red, Orange, Green, Blue, White, Blue, Orange, Blue, Blue, White, Red, White, White, Red, Green, Blue, Blue, white.
Since, we see the choice of colors is Blue, Red, Green, White and Orange and they are repeated a number of times in the list. So, we use the process of tally marks to draw the frequency table.

COLOR	FREQUENCY
Blue	8
Red	4
Green	4
White	7
Orange	2
Total	25

So, from the frequency table we see that
Number of students who chose Blue as their favorite color is 8.
Number of students who chose Red as favorite color is 4
Number of students who chose Green as favorite color is 4
Number of students who chose White as favorite color is 7
Number of students who chose Orange as favorite color is 2
Also, sum of frequencies is \[8 + 4 + 4 + 7 + 2 = 25\]
This is equal to the number of students in the class.
So, from the information above we can say that the least favorite color is Orange.

Note: Students are likely to make mistakes in calculating frequency of such messed up data, always make use of tally marks and move one observation at a time. Also, keep in mind you can check the answer of the frequency table by calculating the sum of frequencies which should come up to the total number of students in this case.