# CATEGORICAL DATA PRACTICE PROBLEMS WORKSHEET

Problem 1 :

At recess time the sales of drinks were recorded over a three minute period.

O = 100 plus, S = soy milk, C = cola, I = iced tea.

The data was

OSSCI OCISO IOCSO OOOSC SOCOS SOOCO OIOIS

a)  Draw a dot plot of the data.

b) What is the mode?

Solution

Problem 2 :

The dot plot shows shoe sizes for students in grade .

a)  How many students are in grade 6 at this school?

b)  How many have shoe size 9 or more?

c)  What percentage have shoe sizes 8 or more?

Solution

Problem 3 :

The dot plot shows the numbers of students playing various instruments in the school orchestra.

a) How many play stringed instruments?

b) How many students are in the orchestra?

c) Find the mode of the data.

Solution

Problem 4 :

A class of students at a school in England were asked which summer sport they wanted to play. The choices were:

T = tennis, S = swimming, C = cricket, B = basketball and F = football. The data was:

FFCTC CSFST TTBFS FFCSF TFTBC

a) Draw a horizontal dot plot of the data.

b) Find the mode of the data.

Solution

Problem 5 :

Students voted the most popular attractions at the local show to be the side shows (S), the farm animals (F), the ring events (R), the dogs and cats (D), and the wood chopping (W). The students in a class were then asked to name their favourite.

The data was:

SRWSS WFDDS RRFWS RSRWS SRRRF

a) Draw a vertical dot plot of the data.

b) Find the mode of the data.

Solution

1)  a)

b)  100 plus.

2)  a)  50    b)  22     c)  58%

3) a) two stringed instruments,  b)  28, c)  Violin

4)  a)

b) Foot ball

5)  a)

b)  ring events.

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