Question

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1. this data shows how many pets 9 teachers have.

a) what is the mean number of pets teachers have?
b) what is the median number of pets teachers have?
c) what is the maximum number of pets teachers have?
d) what is the minimum number of pets teachers have?

1. this data shows how many strokes a golfer scored.

a) what is the mean golf score?
b) what is the median golf score?
c) what is the maximum golf score?
d) what is the minimum golf score?

Explanation:

Part 1: Pets Teachers Have (Dot Plot)

First, we need to determine the number of dots (frequency) for each number of pets:

• 1 pet: 1 dot
• 2 pets: 1 dot
• 3 pets: 2 dots
• 4 pets: 2 dots
• 5 pets: 1 dot
• 6 pets: 1 dot

Total number of teachers: \(1 + 1 + 2 + 2 + 1 + 1 = 8\)

a) Mean number of pets

Step 1: Calculate total number of pets

\(1\times1 + 2\times1 + 3\times2 + 4\times2 + 5\times1 + 6\times1 = 1 + 2 + 6 + 8 + 5 + 6 = 28\)

Step 2: Calculate mean

Mean \(= \frac{\text{Total pets}}{\text{Total teachers}} = \frac{28}{8} = 3.5\)

Answer:

(a): \(3.5\)

b) Median number of pets

Step 1: Order the data

The data points (number of pets) in order: \(1, 2, 3, 3, 4, 4, 5, 6\)

Step 2: Find the median (middle value for even number of data points)

Since there are 8 data points, the median is the average of the 4th and 5th values.
4th value: \(3\), 5th value: \(4\)
Median \(= \frac{3 + 4}{2} = 3.5\)