Median for a Grouped Data
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The median for the data is
IQ60−7070−8080−9090−100100−110110−120120−130No. of pupils2351614137
- 102.86
- 98.46
- 97.47
- 103.26
- lower real limit
- upper real limit
- real limit
- limit
Find the median of the following data.
Class interval100−110110−120120−130130−140140−150Frequency6914219
Calculate the median for the following distribution.
Marks obtainedNumber of studentsBelow 106Below 2015Below 3029Below 4041Below 5060Below 6070 [4 MARKS]
Find the mode and median of the following frequency distribution:
Find the median of the given data:
Wages(in Rs.)200−300300−400400−500500−600600−700No.of Labourers3520106
300
420
400
470
The following table shows the profit made by a group of shops in a mall. The median of the data is _____.
Profit per shop less than (%)102030405060No. of shops1230577794100
- 27.4
- 31.2
- 26.8
- 23.7
Find the median of the following data.
Class intervalFrequency0−10610−20720−301130−40940−507 [3 MARKS]
Median is always the best measures of central tendency.
- False
- True
The median of the following data is:
IQ60−7070−8080−9090−100100−110110−120120−130No. of pupils2351614137
103.26
102.86
98.46
97.47
For the following distribution, choose the correct options
xi10131619fi2576
15.2
15.35
15.55
16
The following number of goals was scored by a team in a series of 10 matches:
2, 3, 4, 5, 0, 1, 3, 3, 4, 3
Find the mean, median and mode of these scores.
Find the median of the following data.
Class interval0−2020−4040−6060−8080−100Frequency51112139
- 50
- 110
- 55
- 100
In the given frequency distribution, marks are ordered. Which 2 observations (students) are the median observations?
Marks obtainedNumber of students(Frequency)2062520282429283315384422431
term and 
term
term and 
termCannot be determined
term and 
term
Wages(in Rs.)200−300300−400400−500500−600600−700No.of Labourers3520106
- 300
- 420
- 400
- 470
The median for the data is 22.5
Class interval0−1010−2020−3030−40Frequency7151612
- True
- False
Find the median of the following data.
Class interval0−2020−4040−6060−8080−100Frequency51112139
Lower real limit = 25
Sum of frequencies = 100
Cumulative frequency above the median class = 30
And, Size of the class interval = 10.
- 10
- 20
- 15
- 25
The median class for the given data is
Height (in cm) Less than 140 Less than 145 Less than 150Less than 155Less than 160Less than 165No. of girls41129404651
145-150
150-155
155-160
160-165
No. of PlantsNo. of house0−212−434−626−848−10510−12312−142
- 8
- 16
- 48
- 24
Find the median of the following data.
Class interval0−1010−2020−3030−4040−50Frequency1098176
- 20
- 50
- 54
- 27.5
Which of the following represents an empirical relationship between Median, Mode and Mean?
3 Mean= Median + 2 Mode
3 Mode= Median + 2 Mean
Mode =3 Median - 2 Mean
can't say.
The median class for the following data is
MarksBelow 10Below 20Below 30Below 40Below 50No. of students(Cumulative frequency510233140
40-50
10-20
20-30
30-40
ClassCumulative frequency10−20320−301730−402440−503350−6051
- 30-40
- 40-50
- 50-60
- 20-30
The median of grouped data is of the form:
L - (
) 
h.L + (
) 
h.L +
L + (
) 
h
A ______ is described as the numeric value separating the higher half of a sample.
Mean
Median
Range
Mode
The median class for the following data is
MarksBelow 10Below 20Below 30Below 40Below 50 No. of students 510233140
10 - 20
20 - 30
30 - 40
40 - 50
- 2500 - 3000
- 1000 - 1500
- 1500 - 2000
- 3000 - 3500
