Question

the following bar chart shows the number of wins for four middle - school basketball teams. each team played 12 games. which of the following statements is not supported by the bar chart? (a) team a won 75% of its games. (b) team b won 60% of its games. (c) team c won 7 games. (d) team d won less than half its games.

Explanation:

Step1: Analyze Team A

Total games: 12. Wins for A: 9. Percentage: $\frac{9}{12} \times 100 = 75\%$. So A is supported.

Step2: Analyze Team B

Wins for B: 6. Percentage: $\frac{6}{12} \times 100 = 50\%
eq 60\%$. So B is not supported? Wait, check Team C: Wins for C: 7? Wait, bar chart: Let's recheck. Wait, the bar for C: looking at the chart, C's bar reaches 7? Wait, no, the y-axis is frequency (wins). Let's see:

Team A: bar to 9 (wins=9)
Team B: bar to 6 (wins=6)
Team C: bar to 7 (wins=7)
Team D: bar to 4 (wins=4)

Now check each option:

A: 9/12 = 75%: correct.

B: 6/12 = 50% ≠ 60%: so B's statement is "Team B won 60% of its games" which is false? Wait, no, wait the question is "which is NOT supported". Wait, let's check all:

C: Team C won 7 games: bar for C is at 7, so 7 wins: correct.

D: Team D won 4 games. Half of 12 is 6. 4 < 6: correct.

So Team B's statement (60% win) is 6/12=50%, so not 60%. Wait, but wait, maybe I misread B's wins. Wait the bar for B: let's see the x-axis (team) and y-axis (frequency, 0-10). Team B's bar: from the chart, the gray bar for B: how many units? Let's count the grid. The y-axis has marks at 0,1,2,3,4,5,6,7,8,9,10. Team B's bar: let's see, the height: from 0 to 6? Wait, maybe I made a mistake. Wait, the problem says each team played 12 games.

Wait, let's recalculate:

Team A: wins = 9. 9/12 = 0.75 = 75%: A's statement is true.

Team B: wins = 6? Wait, no, maybe the bar for B is at 6? Wait, 6/12 = 50%, but the statement says 60% (60% of 12 is 7.2). Wait, no, 60% of 12 is 7.2? No, 60% of 12 is 7.2? Wait, 12*0.6=7.2. Wait, maybe I misread the bar for B. Wait, the bar for B: looking at the chart, maybe it's 7? No, the user's chart: Team B's bar is shorter than C's. C's bar is at 7, B's at 6? Wait, no, let's check the options again.

Wait, the options:

A: Team A won 75%: 9/12=75%: correct.

B: Team B won 60%: 60% of 12 is 7.2. If Team B's wins are 6, then 6/12=50%≠60%. If wins are 7, 7/12≈58.3%≠60%. Wait, maybe the bar for B is 7? No, the chart: Team C's bar is at 7, B's at 6? Wait, the user's image: "Team B" bar: let's see, the gray bar for B: the height is up to 6? Or 7? Wait, the y-axis labels: 0,1,2,3,4,5,6,7,8,9,10. So each grid line is 1. Team A: bar to 9 (so 9 wins). Team B: bar to 6? No, maybe 6? Wait, no, the bar for B: let's count the number of units. From 0 to 6: 6 units. Team C: bar to 7 (7 units). Team D: bar to 4 (4 units).

So:

Team A: 9 wins. 9/12 = 75%: A is supported.

Team B: 6 wins. 6/12 = 50%: statement says 60%: not supported. Wait, but option C: Team C won 7 games: 7 wins: correct. Option D: Team D won 4 games. Half of 12 is 6. 4 < 6: correct. So the statement not supported is B? Wait, but wait, maybe I made a mistake. Wait, 60% of 12 is 7.2, so if Team B had 7 wins, 7/12≈58.3%≠60%. If 8 wins, 8/12≈66.6%≠60%. Wait, maybe the bar for B is 7? Let me re-examine the chart. The user's chart: "Team B" bar: the gray area. Let's see, the white spaces: between Team A and B, there are white squares. Then Team B's bar: from the bottom, how many? Let's see, the y-axis is frequency (wins). So Team A: 9, Team B: let's see, the bar for B is up to 6? No, maybe 6? Wait, the problem is to find which statement is NOT supported. Let's check each:

A: 9/12=75%: supported.

B: 60% of 12 is 7.2. If Team B's wins are 6, 6/12=50%≠60%. If 7, 7/12≈58.3%≠60%. So B's statement is false.

C: Team C won 7 games: bar at 7: supported.

D: Team D won 4 games. 4 < 6 (half of 12): supported.

So the answer is B. Team B won 60% of its games.

Answer:

B. Team B won 60% of its games.