Worksheets19.5 Median and quartiles for a discrete data set
Total questions: 13
Worksheet time: 1hrs 5mins
The lengths of seven films are 109, 115, 121, 124, 125, 133, and 151 minutes. Write down the median of these times.
A. 115 minutes
B. 123 minutes
C. 124 minutes
D. 125 minutes
E. 133 minutes
The lengths of seven films are 109, 115, 121, 124, 125, 133, and 151 minutes. Find the interquartile range.
A. 18 minutes
B. 42 minutes
C. 123 minutes
D. 124 minutes
E. 133 minutes
The voltages of 11 batteries are measured. Here are the results:
1.23, 1.16, 0.98, 1.22, 1.45, 1.22,1.17, 1.33, 1.28, 1.32, 1.29. Arrange the values in order of size, and hence find the median.
A. 1.22 volts
B. 1.23 volts
C. 1.17 volts
D. 1.24 volts
E. 1.32 volts
The voltages of 11 batteries are measured. Here are the results:
1.23, 1.16, 0.98, 1.22, 1.45, 1.22,1.17, 1.33, 1.28, 1.32, 1.29. Work out the lower quartile.
A. 1.32 volts
B. 1.24 volts
C. 1.23 volts
D. 1.22 volts
E. 1.17 volts
The voltages of 11 batteries are measured. Here are the results:
1.23, 1.16, 0.98, 1.22, 1.45, 1.22,1.17, 1.33, 1.28, 1.32, 1.29. Work out the upper quartile.
A. 1.17 volts
B. 1.22 volts
C. 1.23 volts
D. 1.24 volts
E. 1.32 volts
A group of boys took a mathematics test. Here are their scores:
63, 81, 42, 24, 38, 45, 60, 56, 62, 75, 92, 71, 85, 68, 88. Work out the median score.
A. 42
B. 81
C. 64
D. 63
E. 92
A group of boys took a mathematics test. Here are their scores:
63, 81, 42, 24, 38, 45, 60, 56, 62, 75, 92, 71, 85, 68, 88. Work out the interquartile range of the scores.
A. 42
B. 81
C. 45
D. 63
E. 36
A group of boys took a mathematics test. Here are their scores:
63, 81, 42, 24, 38, 45, 60, 56, 62, 75, 92, 71, 85, 68, 88. A group of girls took the same test as the boys . The median score for the girls was 62. The interquartile range for the girls was 17.
Choose the statement that MOST accurately compares the boys' scores and the girls' scores
A.The interquartile range of the girls test scores is smaller than that of the boys. This shows that the girls scores were closer to the median.
B. The girls had a higher median test score than the boys showing better performance on the test.
C. The interquartile range of the girls test scores is larger than that of the boys. This shows that the girls scores were further from the median.
D. The girls had a lower median test score than that of the boys, showing better performance on the test.
E. The girls' test scores had a higher third quartile than that of the boys, showing better performance on the test.
The maximum daily temperatures in °C were recorded at a weather station for the month of January. Here are the results:
6, 3, 10, 11, 10, 6, 5, 2, -1, 0, -3, 1, 2, 2, 5, 8, 7, 4, 5, 5, 1, 0, 1, 3, 2, 1, 1, 2, 4, 1, 2. Find the median temperature.
A. 1°C
B. 2°C
C. 3°C
D. 3.4° C
E. 14°C
The maximum daily temperatures in °C were recorded at a weather station for the month of January. Here are the results:
6, 3, 10, 11, 10, 6, 5, 2, -1, 0, -3, 1, 2, 2, 5, 8, 7, 4, 5, 5, 1, 0, 1, 3, 2, 1, 1, 2, 4, 1, 2. Work out the lower quartile.
A. 1°C
B. 2°C
C. 3°C
D. −3°C
E. −1°C
The maximum daily temperatures in °C were recorded at a weather station for the month of January. Here are the results:
6, 3, 10, 11, 10, 6, 5, 2, -1, 0, -3, 1, 2, 2, 5, 8, 7, 4, 5, 5, 1, 0, 1, 3, 2, 1, 1, 2, 4, 1, 2. Work out the upper quartile.
A. −1°C
B. 1°C
C. 10°C
D. 5°C
E. 6°C
Here are the numbers of runs scored by the batsmen of a cricket team during an innings:
56, 7, 24, 11, 62, 47, 3, 0, 12, 13, 1. Work out the median number of runs.
A. 3 runs
B. 11 runs
C. 12 runs
D. 21 runs
E. 47 runs
Here are the numbers of runs scored by the batsmen of a cricket team during an innings:
56, 7, 24, 11, 62, 47, 3, 0, 12, 13, 1. Find the interquartile range.
A. 47 runs
B. 44 runs
C. 21 runs
D. 12 runs
E. 3 runs
