Question

name:
q1 warmups 3
state the minimum, median, and maximum of the data set.

1. $50, $220, $25, $380, $40, $130, $200

warmup 9/9
state the minimum, median, and maximum of the data set.

1. 14, -12, 9, 10, -5, 3, 5, -6

warmup 9/10
state the minimum, median, and maximum of the data

1. 0, 0, 1, 0, 1, 1, 0, 1, 0, 1

Explanation:

Q1 Warmups 3 - Problem 1

Step1: Order the data set

First, we order the data set \(\$50, \$220, \$25, \$380, \$40, \$130, \$200\) from least to greatest.
The ordered data set is: \(\$25, \$40, \$50, \$130, \$200, \$220, \$380\)

Step2: Find the minimum

The minimum value is the smallest number in the ordered data set.
So, the minimum is \(\$25\).

Step3: Find the median

The median is the middle value of a data set with an odd number of observations. Here, there are 7 values (odd number), so the median is the 4th value in the ordered data set.
The 4th value is \(\$130\), so the median is \(\$130\).

Step4: Find the maximum

The maximum value is the largest number in the ordered data set.
So, the maximum is \(\$380\).

Step1: Order the data set

First, we order the data set \(14, -12, 9, 10, -5, 3, 5, -6\) from least to greatest.
The ordered data set is: \(-12, -6, -5, 3, 5, 9, 10, 14\)

Step2: Find the minimum

The minimum value is the smallest number in the ordered data set.
So, the minimum is \(-12\).

Step3: Find the median

The median of a data set with an even number of observations is the average of the two middle values. Here, there are 8 values (even number), so we find the average of the 4th and 5th values.
The 4th value is \(3\) and the 5th value is \(5\). The average is \(\frac{3 + 5}{2}=\frac{8}{2} = 4\). So, the median is \(4\).

Step4: Find the maximum

The maximum value is the largest number in the ordered data set.
So, the maximum is \(14\).

Step1: Order the data set

First, we order the data set \(0, 0, 1, 0, 1, 1, 0, 1, 0, 1\) from least to greatest.
The ordered data set is: \(0, 0, 0, 0, 0, 1, 1, 1, 1, 1\)

Step2: Find the minimum

The minimum value is the smallest number in the ordered data set.
So, the minimum is \(0\).

Step3: Find the median

The median of a data set with an even number of observations is the average of the two middle values. Here, there are 10 values (even number), so we find the average of the 5th and 6th values.
The 5th value is \(0\) and the 6th value is \(1\). The average is \(\frac{0 + 1}{2}=\frac{1}{2}=0.5\). So, the median is \(0.5\).

Step4: Find the maximum

The maximum value is the largest number in the ordered data set.
So, the maximum is \(1\).

Answer:

Minimum: \(\$25\), Median: \(\$130\), Maximum: \(\$380\)

Warmup 9/9 - Problem 1