draw a box plot for the following data. {35, 14, 29, 26, 15, 20, 26, 20, 28, 19, 23, 16, 24, 25, 37}

Explanation:

Step1: Sort the data

$14, 15, 16, 19, 20, 20, 23, 24, 25, 26, 26, 28, 29, 35, 37$

Step2: Find the median (Q2)

There are 15 data - points. The median is the 8th value. So, $Q2 = 24$.

Step3: Find the lower half of the data

The lower half is $14, 15, 16, 19, 20, 20, 23$. The median of the lower half (Q1) is the 4th value, so $Q1 = 19$.

Step4: Find the upper half of the data

The upper half is $25, 26, 26, 28, 29, 35, 37$. The median of the upper half (Q3) is the 4th value of this half, so $Q3 = 28$.

Step5: Find the minimum and maximum

The minimum value is $14$ and the maximum value is $37$.

Step6: Analyze box - plot features

The box in the box - plot should start at $Q1 = 19$, end at $Q3 = 28$, and have a line at the median $Q2 = 24$. The whiskers should extend to the minimum $14$ and maximum $37$.

Answer:

(Without seeing the exact details of the options A, B, C visually, we can't directly pick one. But based on the above - calculated values, the box should have the left - hand side at 19, the right - hand side at 28, and the line inside the box at 24, with whiskers extending to 14 and 37. You need to check which option among A, B, C has these features.)