Median of Discrete Series
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Q.
The following series relates to the daily income of workers employed in a firm. Compute (a) highest income of lowest 50% workers, (b) minimum income earned by the top 25% workers and (c) maximum income earned by lowest 25% workers.
Daily Income (in Rs) 10 - 1415−1920−2425−2930−3435−39Number of Workers5101520105
Q.
Give the formula of calculating median in frequency distribution.
Q.
Find the median of the following data distribution.
Marks obtained2029283342384325Number of students628241524120
28.5
29
30
40
Q.
The time (in seconds) taken by 150 athelets to run a 110 m hurdle race are tabulated below.
Class13.8−1414−14.214.2−14.414.4−14.614.6−14.814.8−15Frequency245714820
The numberof atheletes who completed the race in less than 14.6 s is
71
82
11
130
Q. In the given frequency distribution, which is the median term?
Age in yearsNo. of people15316817101810195204
Age in yearsNo. of people15316817101810195204
- 20th, 21st
- 21st
- 20th
- 19th, 20th
Q. Find the values of p, q, r and s in the given cumulative frequency distribution.
xFrequencyCumulative frequency103p=−−−−1510q=−−−−2025r=−−−−257s=−−−−30550
xFrequencyCumulative frequency103p=−−−−1510q=−−−−2025r=−−−−257s=−−−−30550
- p = 0, q = 10, r = 35, s = 42
- p = 3, q = 13, r = 28, s = 35
- p = 3, q = 13, r = 35, s = 42
- p = 3, q = 13, r = 38, s = 45
Q. The scores in an exam along with their corresponding frequencies are tabulated below.
ScoreFrequency537524926433
Find the median score.
ScoreFrequency537524926433
Find the median score.
- 5
- 7
- 3
- 6
Q. Find the median term of the following cumulative frequency distribution:
xfrequencyCumulative frequency221134233925458135482156930684347843884240
xfrequencyCumulative frequency221134233925458135482156930684347843884240
- 55
- 49.5
- 53.5
- 54
