Make a box-and-whisker plot to represent each set of data.
13. Movie ratings: 1 4 1 2.5 3 2 3.5 2 3 1.5 4 2 41 1 3 4.5
15. Camera prices: $280 $220 $224 $70 $410 $90 $30 $120
ALL CORRECT AWNSERS
1.C
2.A
3.A
4.D
jk real answers
1.b
2.b
3.d
4.d
To create a box-and-whisker plot for each set of data, follow these steps:
1. Sort the data in ascending order.
For the movie ratings:
1 1 1 1.5 2 2 2.5 3 3 3.5 4 4 41
For the camera prices:
$30 $70 $90 $120 $220 $224 $280 $410
2. Find the minimum and maximum values.
For the movie ratings:
Minimum: 1
Maximum: 41
For the camera prices:
Minimum: $30
Maximum: $410
3. Calculate the quartiles.
For the movie ratings:
- First quartile (Q1): Median of the lower half of the data set.
Q1 = 1.5 (average of 1 and 2)
- Second quartile (Q2): Median of the entire data set (also known as the median).
Q2 = 2.5 (middle value)
- Third quartile (Q3): Median of the upper half of the data set.
Q3 = 3.5 (average of 3 and 4)
For the camera prices:
- First quartile (Q1): Median of the lower half of the data set.
Q1 = $90
- Second quartile (Q2): Median of the entire data set (also known as the median).
Q2 = $172 (average of $120 and $224)
- Third quartile (Q3): Median of the upper half of the data set.
Q3 = $250 (average of $220 and $280)
4. Determine the outliers.
For the movie ratings:
There is one outlier, the value 41.
For the camera prices:
There are no outliers.
5. Create the box-and-whisker plot.
For the movie ratings:
The plot will consist of a line segment for each quartile (Q1, Q2, Q3) and "whiskers" extending to the minimum and maximum values. The outlier will be shown as a separate point outside the whiskers.
For the camera prices:
The plot will be a box with vertical lines extending from the lower quartile (Q1) to the upper quartile (Q3). There will be a vertical line segment within the box at the median (Q2). The minimum and maximum values will be shown as "whiskers" extending from the box.
Note: It is not possible to display the actual plot here as it requires visual representation.