Question

75, 88, 90, 96, 98, 100
which box - plot represents this data?

Explanation:

Step1: Find the minimum and maximum values

The minimum value is 75 and the maximum value is 100.

Step2: Find the median

There are 6 data - points. The median is the average of the 3rd and 4th ordered values. $\frac{90 + 96}{2}=93$.

Step3: Find the lower quartile ($Q_1$)

The lower half of the data is 75, 88, 90. The median of the lower half ($Q_1$) is 88.

Step4: Find the upper quartile ($Q_3$)

The upper half of the data is 96, 98, 100. The median of the upper half ($Q_3$) is 98.

In a box - plot, the left - most whisker represents the minimum value (75), the left side of the box represents $Q_1$ (88), the line inside the box represents the median (93), the right side of the box represents $Q_3$ (98), and the right - most whisker represents the maximum value (100).

Answer:

The box - plot that has the left - most whisker at 75, the left side of the box at 88, the line inside the box at 93, the right side of the box at 98, and the right - most whisker at 100. (Since no specific labels are given for the options, you would need to visually identify the correct one based on these values among the given choices).