Question

The box plot below represents the number of hours Judy takes to complete a quilt.\

Which data set could be represented by this box plot?

a. 39, 32, 29, 22, 33, 29, 25, 37, 34
b. 25, 36, 30, 32, 34, 39, 22, 29, 36
c. 32, 36, 27, 30, 22, 35, 39, 28, 34
d. 22, 27, 38, 34, 24, 32, 33, 30, 39

Answer 1

One thing to note when constructing a box-and-whisker plot, you have to find the inter quartile values. First, arrange the data set from least to greatest. Then, find the median denoted as Q₂. To the left of Q₂, find the median of that specific data set, denotes as Q₁. Similarly, do the procedure to the left of Q₂ denoted as Q₃. The lines of the box signify Q₁, Q₂ and Q₃. The 'whiskers' signify the least and greatest value. From the choices, the answer is B. Let me show you the solution:

Arranging the data:

| 22 25 29 30 | 32 | 34 36 36 39 |

Q₂ = 32
Q₁ = (25+29)/2 = 27
Q₃ = (36+36)/2 = 36
Left whisker: 22
Right whisker: 39