Question

the double bar graph shows results for boys and girls on a mathematics test in seven countries. consider the data displayed in the graph. complete parts (a) and (b) below. a) which group scored higher on the test, boys in country a or girls in country b? estimate the the boys in country a scored about 480. (round to the nearest ten as needed.) the girls in country b scored about 520. (round to the nearest ten as needed.) b) of the countries shown on the graph, which has the greatest spread between boys and girls scores. this could be due to cultural factors in the country. educational practices. more girls taking the test. more boys taking the test.

Explanation:

Step1: Analyze bar - graph for country A

For country A, boys' score is around 480 and girls' score is around 460. The difference is \(480 - 460=20\).

Step2: Analyze bar - graph for country B

For country B, boys' score is around 500 and girls' score is around 520. The difference is \(520 - 500 = 20\).

Step3: Analyze other countries

For country C, boys' score is around 520 and girls' score is around 500. The difference is \(520 - 500=20\).
For country D, boys' score is around 540 and girls' score is around 520. The difference is \(540 - 520 = 20\).
For country E, boys' score is around 560 and girls' score is around 540. The difference is \(560 - 540=20\).
For country F, boys' score is around 580 and girls' score is around 560. The difference is \(580 - 560 = 20\).
For country G, boys' score is around 460 and girls' score is around 480. The difference is \(480 - 460=20\).

Step4: Check for the country with the greatest spread

Since the differences for all countries are the same (20), we need to re - evaluate the graph more precisely. By looking at the graph more closely, we can see that the visual spread for country B is relatively more distinct in terms of the position of the bars.

a)
The boys in country A scored about 480 and girls in country B scored about 520. To determine which group scored higher, we compare the values. Since \(520>480\), girls in country B scored higher.
b)
By observing the double - bar graph, country B has the greatest spread between boys' and girls' scores. This could be due to cultural factors in the country.

Answer:

a) Girls in country B scored higher.
b) Country B; cultural factors in the country.