A median comparison in a frequency table asks for the middle observation in each group, not the middle score row. Use each group’s total to locate its middle position, then count upward through the frequencies to see which score occupies it. One row can fill several positions, so treating every row as one player gives the wrong median.
Hints
- Hint 1
The median is the middle score after the players’ scores are ordered. With 9 players in group A, four scores come before the middle one and four come after it. Which position is in the middle?
- Hint 2
A frequency tells you how many players earned a score. Count group A’s players from the lowest score upward. Repeated scores fill repeated positions; don’t count each score row only once.
- Hint 3
Group B has 11 players, so its middle position differs from group A’s. Count through B’s frequencies to find its middle score, then subtract A’s median from B’s.
Step-by-step
Count the middle players
Step 1Locate group A’s middle player
No Desmos needed. The table lets you count the middle players directly.
The median is the middle score after the scores are ordered. Group A has 9 players, so its middle score is in position .
- Step 2
Find group A’s fifth score
A frequency is the number of players with a given score. In group A, scores , , and fill positions. The fifth player has the next score, , so A’s median is .
- Step 3
Locate group B’s middle player
Group B has 11 players, so its middle score is in position . Use B’s frequencies for this count, not A’s.
- Step 4
Find group B’s sixth score
Group B has no scores below . Its four s fill positions through , and its two s fill positions and . The sixth score is , so B’s median is .
- Step 5
Compare the medians
Subtract A’s median from B’s to find how much greater B’s is:
Group B’s median score is point greater. Grid in 1.