Practice with Representing Data

1. Sal counted the number of songs on each album in his collection. He then created both a dot plot and a box plot to display the same data (both diagrams are shown below).

Which display makes it easier to see that the median is 10 songs?

Choose 1 answer:

(A) The dot plot

(B) The box plot

Which display allows us to see that the mode is 10 songs?

Choose 1 answer:

(A) The dot plot

(B) The box plot

2. Leonard measured the mass of each pumpkin in his patch to the nearest tenth of a kilogram. He then created both a histogram and a box plot to display the same data (both diagrams are shown below).

Which display can be used to find how many pumpkins had masses below 6.0 kilograms?

Choose 1 answer:

(A) The histogram

(B) The box plot

Which display can be used to find that the median mass was 8 kilograms?

Choose 1 answer:

(A) The histogram

(B) The box plot

3. Leo owns a hostel and counted the number of guests staying in each room. He then created both a histogram and a dot plot to display the same data (both diagrams are shown below).

Which display can be used to find the maximum number of guests in a room?

Choose 1 answer:

(A) The histogram

(B) The dot plot

Which display makes it clear that there were no rooms with 1 guest?

Choose 1 answer:

(A) The histogram

(B) The dot plot

4. Tia measured the daily high temperature in Kats, Colorado for each of the 30 days in April. She then created both a dot plot and a box plot to display the same data (both diagrams are shown below).

Which display makes it easier to see that the third quartile is $14^{\circ} \mathrm{C}$?

Choose 1 answer:

(A) The dot plot

(B) The box plot

Which display can be used to find how many days had a high temperature below $8^{\circ} \mathrm{C}$?

Choose 1 answer:

(A) The dot plot

(B) The box plot

Source: Khan Academy, https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-7th-compare-data-displays/e/comparing-data-displays
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 License.

1. The box plot makes it easier to see that the median is 10 songs.

The dot plot allows us to see that mode is 10 songs

2. The histogram allows us to find how many pumpkins had masses below 6 kilograms.

The box plot allows us to know that the median mass was 8 kilograms.

3. The dot plot can be used to find the maximum number of guests in a room.

The dot plot makes it clear that there were no rooms with 1 guest.

4. The box plot makes it easier to see that the third quartile is $14^{\circ} \mathrm{C}$.

The dot plot can be used to find how many days had a high temperature below $8^{\circ} \mathrm{C}$.