Question

here are yesterdays high temperatures (in fahrenheit) in 18 u.s. cities. 47, 49, 51, 53, 59, 60, 61, 63, 65, 70, 72, 73, 73, 77, 78, 79, 82, 84. notice that the temperatures are ordered from least to greatest. make a box - and - whisker plot for the data.

Explanation:

Step1: Find minimum value

The smallest data point is 47.

Step2: Find maximum value

The largest data point is 84.

Step3: Calculate median (Q2)

For 18 data points, median is average of 9th and 10th values:
$$\text{Median} = \frac{65 + 70}{2} = 67.5$$

Step4: Calculate Q1 (lower quartile)

Q1 is median of first 9 values (1st to 9th):
The 5th value is 59, so Q1 = 59.

Step5: Calculate Q3 (upper quartile)

Q3 is median of last 9 values (10th to 18th):
The 14th value is 77, so Q3 = 77.

Step6: Plot the values

• Left whisker at 47, box left edge at 59, box middle line at 67.5, box right edge at 77, right whisker at 84, aligned to the temperature axis.

Answer:

The box-and-whisker plot has:

• Minimum (left whisker): 47
• Lower quartile (Q1, box left): 59
• Median (box middle line): 67.5
• Upper quartile (Q3, box right): 77
• Maximum (right whisker): 84

(Plotted on the axis with ticks from 45 to 85, matching the provided grid)