Subjects statistics

Nfl Salaries 171D2E

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Question: The histogram shows salaries of some players on one NFL team. Player salaries of less than $1,000,000 are not shown. Complete the following sentences. The team has ____ players with a salary of at least $1,000,000. ____ players have salaries of at least $2,000,000. NFL player salaries Graph: histogram in the center-left, with x-axis labeled "$ in millions" and y-axis labeled "number of players"; bars appear in bins around 1–1.5, 1.5–2, 2–2.5, 2.5–3, 3–3.5, 5.5–6, and 6–6.5, with the tallest bar at 1–1.5 and smaller bars in the other shown bins.
1. **State the problem:** We need to find the number of players with salaries at least $1,000,000 and at least $2,000,000 based on the histogram data. 2. **Analyze the histogram bins:** - Bins shown are approximately: $1$–$1.5$ million, $1.5$–$2$ million, $2$–$2.5$ million, $2.5$–$3$ million, $3$–$3.5$ million, $5.5$–$6$ million, and $6$–$6.5$ million. 3. **Count players with salary at least $1,000,000$:** - All players in all bins shown have salaries $\geq 1$ million. - Add the number of players in each bin. 4. **Count players with salary at least $2,000,000$:** - Only players in bins $2$–$2.5$, $2.5$–$3$, $3$–$3.5$, $5.5$–$6$, and $6$–$6.5$ million qualify. - Add the number of players in these bins. 5. **Use the histogram bar heights (number of players):** - $1$–$1.5$ million bin: tallest bar, say $n_1$ players. - $1.5$–$2$ million bin: smaller bar, say $n_2$ players. - $2$–$2.5$ million bin: $n_3$ players. - $2.5$–$3$ million bin: $n_4$ players. - $3$–$3.5$ million bin: $n_5$ players. - $5.5$–$6$ million bin: $n_6$ players. - $6$–$6.5$ million bin: $n_7$ players. 6. **Sum players for $\geq 1$ million:** $$\text{Total}_{\geq 1} = n_1 + n_2 + n_3 + n_4 + n_5 + n_6 + n_7$$ 7. **Sum players for $\geq 2$ million:** $$\text{Total}_{\geq 2} = n_3 + n_4 + n_5 + n_6 + n_7$$ 8. **Final answers:** - The team has $\text{Total}_{\geq 1}$ players with salary at least $1,000,000$. - $\text{Total}_{\geq 2}$ players have salaries at least $2,000,000$. Since exact numbers $n_1$ to $n_7$ are not provided, the answer depends on reading the histogram bar heights. **Summary:** - Count all players in all bins shown for $\geq 1$ million. - Count players in bins starting at $2$ million for $\geq 2$ million. This completes the problem based on the histogram data provided.