Question

The side-by-side stemplot below displays the arm spans, in centimeters, for two classes.

A stemplot titled Arm Span (centimeters). For Class A, the values are 148, 151, 153, 155, 156, 159, 161, 162, 164, 165, 169, 169, 170, 171, 175, 176, 179, 179, 180, 182, 183, 186, 186, 190. For Class B, the values are 153, 155, 16, 160, 162, 162, 162, 163, 163, 165, 166, 167, 170, 173, 180, 181, 182, 189, 192, 202.

Which statement correctly describes the proportion of arm spans that are longer than 170 cm?

The proportion of arm spans that are longer than 170 cm is higher in Class B than in Class A.
The proportion of arm spans that are longer than 170 cm is higher in Class A than in Class B.
The proportion of arm spans that are longer than 170 cm is about the same for Class A and Class B.
The proportion of arm spans that are longer than 170 cm cannot be compared with the given information.

Answer 1

The proportion of arm spans that are longer than 170 cm is higher in Class B than in Class A.

Explanation:

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To find the proportion of arm spans that are longer than 170 cm for each class, you can count the number of arm spans in each class that are longer than 170 cm and divide it by the total number of arm spans in each class.

For Class A, there are 4 arm spans that are longer than 170 cm out of a total of 24 arm spans. Therefore, the proportion of arm spans that are longer than 170 cm for Class A is 4/24 = 1/6 = 0.17.

For Class B, there are 8 arm spans that are longer than 170 cm out of a total of 20 arm spans. Therefore, the proportion of arm spans that are longer than 170 cm for Class B is 8/20 = 2/5 = 0.40.

Since the proportion of arm spans that are longer than 170 cm is higher in Class B than in Class A, the correct statement is: above

Answer 2

The statement that correctly describes the proportion of arm spans that are longer than 170 cm is B. The proportion of arm spans that are longer than 170 cm is higher in Class A than in Class B.

How to describe the proportion?

In Class A, the values greater than 170 cm are: 171, 175, 176, 179, 179, 180, 182, 183, 186, 186, 190 (11 values).

In Class B, the values greater than 170 cm are: 173, 180, 181, 182, 189, 192, 202 (7 values).

Now, compare the proportions:

Proportion of arm spans longer than 170 cm in Class A: 11/23

= 0.478

Proportion of arm spans longer than 170 cm in Class B: 7/20

= 0.35

In conclusion, the proportion of arm spans longer than 170 cm is higher in Class A than in Class B.