The prices of 14 different randomly selected $$ 35-\mathrm{mm} $$ compact cameras are as follows: $$ \$ 169, \$ 225, \$ 129, \$ 175, \$ 299, \$ 140, \$ 215, \$ 239, \$ 1, \$ 99, \$ 149, \$ 219 $$, $$ \$ 120 $$, and $$ \$ 144 $$. Use the interquartile range approach $$ \left(Q_{1}-1.5 imes ight. $$ IQR, $$ Q_{3}+1.5 imes $$ IQR) to find whether any of the amounts are outliers. List any outliers. Select all that apply. 239 none of these 90 1

Question

The prices of 14 different randomly selected $$ 35-\mathrm{mm} $$ compact cameras are as follows: $$ \$ 169, \$ 225, \$ 129, \$ 175, \$ 299, \$ 140, \$ 215, \$ 239, \$ 1, \$ 99, \$ 149, \$ 219 $$, $$ \$ 120 $$, and $$ \$ 144 $$. Use the interquartile range approach $$ \left(Q_{1}-1.5 	imesight. $$ IQR, $$ Q_{3}+1.5 	imes $$ IQR) to find whether any of the amounts are outliers. List any outliers. Select all that apply. 239 none of these 90 1

UpStudy AI · Accepted Answer

To determine if there are any outliers in the given prices of the cameras using the interquartile range (IQR) method, we first need to calculate the first quartile $$ Q_1 $$, the third quartile $$ Q_3 $$, and the IQR itself.

### Step 1: Sort the Data
First, let's sort the prices in ascending order:

$$
1, 99, 120, 129, 140, 144, 149, 169, 175, 215, 219, 225, 239, 299
$$

### Step 2: Calculate $$ Q_1 $$ and $$ Q_3 $$
- **Finding $$ Q_1 $$**: This is the median of the first half of the data.
  - The first half (lower half) is: $$ 1, 99, 120, 129, 140, 144, 149 $$
  - The median of this half (7 values) is the 4th value: $$ Q_1 = 129 $$

- **Finding $$ Q_3 $$**: This is the median of the second half of the data.
  - The second half (upper half) is: $$ 169, 175, 215, 219, 225, 239, 299 $$
  - The median of this half (7 values) is the 4th value: $$ Q_3 = 219 $$

### Step 3: Calculate the IQR
$$
\text{IQR} = Q_3 - Q_1 = 219 - 129 = 90
$$

### Step 4: Determine the Outlier Boundaries
- **Lower Bound**: $$ Q_1 - 1.5 \times \text{IQR} = 129 - 1.5 \times 90 = 129 - 135 = -6 $$
- **Upper Bound**: $$ Q_3 + 1.5 \times \text{IQR} = 219 + 1.5 \times 90 = 219 + 135 = 354 $$

### Step 5: Identify Outliers
Now we check which values fall outside the range $$[-6, 354]$$:
- All values in the dataset are within this range.

### Conclusion
Since all the prices are within the bounds of $$-6$$ and $$354$$, there are no outliers in the dataset.

Thus, the answer is:
**none of these**.
There are no outliers.

The prices of 14 different randomly selected compact cameras are as
follows: ,
, and .
Use the interquartile range approach IQR, IQR) to find
whether any of the amounts are outliers. List any outliers. Select all that apply.
239
none of these
90
1

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The prices of 14 different randomly selected compact cameras are as follows: , , and . Use the interquartile range approach IQR, IQR) to find whether any of the amounts are outliers. List any outliers. Select all that apply. 239 none of these 90 1