Question

use the double box plot above to answer the following questions.

1. what is the median price of a shirt at target?
2. what is the maximum price of a t - shirt at walmart?
3. which store has the lowest price range on t - shirts?
4. true or false: target has the least expensive shirt.
5. true or false: the iqr for target is less than the iqr for walmart?
6. true or false: walmart has more expensive t - shirts

Explanation:

Step1: Identify median in box - plot

In a box - plot, the line inside the box represents the median. For Target, the median is at \(14\).

Step2: Identify maximum in box - plot

The end of the right - most whisker (or the end of the box if there is no whisker) represents the maximum. For Walmart, the maximum is \(14\).

Step3: Calculate price range

The price range is \(max - min\). For Target: \(20 - 10=10\). For Walmart: \(14 - 6 = 8\). So Walmart has the lowest price range.

Step4: Compare minimum values

The minimum value (left - most point) for Target is \(10\) and for Walmart is \(6\). So the statement "Target has the least expensive shirt" is False.

Step5: Calculate IQR

The IQR (Inter - Quartile Range) is \(Q3 - Q1\). For Target: \(Q3 = 17\), \(Q1 = 12\), \(IQR=17 - 12 = 5\). For Walmart: \(Q3 = 12\), \(Q1 = 8\), \(IQR = 12-8=4\). So the statement "The IQR for Target is less than the IQR for Walmart" is False.

Step6: Compare maximum values

The maximum value for Target is \(20\) and for Walmart is \(14\). So the statement "Walmart has more expensive t - shirts" is False.

Answer:

1. \(14\)
2. \(14\)
3. Walmart
4. False
5. False
6. False