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11 Jun 2026, 13:42
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The composers whose works were performed a greater number of times than the median number of performances were all born in the 1700s or the 1800s.: No
The 5 composers with the least number of performances accounted for less than 15 percent of the total number of performances.: Yes
For the composer whose works were performed the greatest number of times, the number of performances is at least 300 percent greater than for the composer whose works were performed the least number of times.: Yes
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
70% (03:10) correct
30%
(03:17)
wrong
based on 773
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For each of the 20 composers of classical music, the table gives the year of birth, the year of death, and the number of live performances of the composer’s works in 2010.
For each of the following statements about the composers listed in the table, select Yes if the statement accurately reflects the information in the table. Otherwise, select No.
| Composer | Year of birth | Year of death | Number of performances |
|---|---|---|---|
| Bach | 1685 | 1750 | 1388 |
| Beethoven | 1770 | 1827 | 2859 |
| Brainns | 1833 | 1897 | 1848 |
| Chopin | 1810 | 1849 | 748 |
| Dvorak | 1841 | 1904 | 1071 |
| Handel | 1685 | 1759 | 757 |
| Haydn | 1732 | 1809 | 989 |
| Mendelssohn | 1809 | 1847 | 865 |
| Mozart | 1756 | 1791 | 3035 |
| Prokofiev | 1891 | 1953 | 931 |
| Puccini | 1858 | 1924 | 723 |
| Raclunaninov | 1873 | 1943 | 673 |
| Ravel | 1875 | 1937 | 864 |
| Schubert | 1797 | 1828 | 1023 |
| Schumann | 1810 | 1856 | 1460 |
| Shostakovich | 1906 | 1975 | 779 |
| Strauss | 1864 | 1949 | 720 |
| Stravinsky | 1882 | 1971 | 849 |
| Tchaikovsky | 1840 | 1893 | 2295 |
| Verdi | 1813 | 1901 | 845 |
| Total | - | - | 24722 |
For each of the following statements about the composers listed in the table, select Yes if the statement accurately reflects the information in the table. Otherwise, select No.
| Yes | No | |
| The composers whose works were performed a greater number of times than the median number of performances were all born in the 1700s or the 1800s. | ||
| The 5 composers with the least number of performances accounted for less than 15 percent of the total number of performances. | ||
| For the composer whose works were performed the greatest number of times, the number of performances is at least 300 percent greater than for the composer whose works were performed the least number of times. |
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Official Answer
The composers whose works were performed a greater number of times than the median number of performances were all born in the 1700s or the 1800s.: No
The 5 composers with the least number of performances accounted for less than 15 percent of the total number of performances.: Yes
For the composer whose works were performed the greatest number of times, the number of performances is at least 300 percent greater than for the composer whose works were performed the least number of times.: Yes
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16 Jun 2026, 10:40
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The composers whose works were performed a greater number of times than the median number of performances were all born in the 1700s or the 1800s. — No
The 5 composers with the least number of performances accounted for less than 15 percent of the total number of performances. — Yes
For the composer whose works were performed the greatest number of times, the number of performances is at least 300 percent greater than for the composer whose works were performed the least number of times. — Yes
----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Verification
1. Median number of performances
* 20 composers ⇒ median = average of 10th and 11th values.
* Median = ((865 + 931)/2 = 898).
* Composers with more than 898 performances include Bach, who was born in 1685.
* Therefore, they were not all born in the 1700s or 1800s. → No
---
2. Five least-performed composers
* (673 + 720 + 723 + 748 + 757 = 3621)
* Percentage of total:
3621/24722} = 0.1465 = 14.65% ]
* (14.65% < 15%). → Yes
---
3. Greatest vs. least performances
* Greatest = 3035 (Mozart)
* Least = 673 (Rachmaninov)
* “300% greater than” means at least (4 \times) as many:
[ 4 times 673 = 2692 ]
* (3035 > 2692). → Yes
The 5 composers with the least number of performances accounted for less than 15 percent of the total number of performances. — Yes
For the composer whose works were performed the greatest number of times, the number of performances is at least 300 percent greater than for the composer whose works were performed the least number of times. — Yes
----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Verification
1. Median number of performances
* 20 composers ⇒ median = average of 10th and 11th values.
* Median = ((865 + 931)/2 = 898).
* Composers with more than 898 performances include Bach, who was born in 1685.
* Therefore, they were not all born in the 1700s or 1800s. → No
---
2. Five least-performed composers
* (673 + 720 + 723 + 748 + 757 = 3621)
* Percentage of total:
3621/24722} = 0.1465 = 14.65% ]
* (14.65% < 15%). → Yes
---
3. Greatest vs. least performances
* Greatest = 3035 (Mozart)
* Least = 673 (Rachmaninov)
* “300% greater than” means at least (4 \times) as many:
[ 4 times 673 = 2692 ]
* (3035 > 2692). → Yes
01 Aug 2026, 11:22
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Any particular method how this question could be solved quickly? Especially 2nd part?
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