Question

The following are daily high temperatures (°F) in Auckland, New Zealand: 75 67 83 90 79 74 70 71 72 78 76 67 66 80 77 77 84 74

1.Using the data above, make a box-and-whisker plot. If the set has outliers, use an * to show them.

Answer 1

To create a box-and-whisker plot for the given set of temperatures in Auckland, New Zealand, find the median, lower quartile, upper quartile, minimum value, maximum value, and outliers (if any). Use this information to create the plot.

Step-by-step explanation:

To create a box-and-whisker plot for the given set of temperatures in Auckland, New Zealand, you need to first find the median, lower quartile (Q1), upper quartile (Q3), minimum value, maximum value, and any outliers.

The median is found by arranging the data in numerical order and determining the middle value. In this case, the median is 75°F.

The lower quartile (Q1) is the median of the lower half of the data (from the minimum value to the median). The upper quartile (Q3) is the median of the upper half of the data (from the median to the maximum value).

The minimum value is 66°F and the maximum value is 90°F.

To check for outliers, you can calculate the interquartile range (IQR) which is the difference between Q3 and Q1. Any value less than Q1 - 1.5 * IQR or greater than Q3 + 1.5 * IQR can be considered an outlier. In this case, there are no outliers.

Using this information, you can create a box-and-whisker plot with a box representing the interquartile range, a line inside the box representing the median, and lines (whiskers) extending from the box to the minimum and maximum values.