The marks scored by some students in a math test are shown in the table below. If the mode for the given data is 4 then what should be the minimum value of X. *  6 5 3
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Class 11
>>Economics
>>Measures of Central Tendency
>>Mode and Median
>>In a mathematics test given to 15 studen
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In a mathematics test given to 15 students, the following marks (out of 100) are recorded:
41,39,48,52,46,62,54,40,96,52,98,40,42,52,60
Find the mean, median and mode of this data.
Medium
Solution
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The marks of 15 students is
41,39,48,52,46,62,54,40,96,52,98,40,42,52,60
Mean =
15
41+39+48+52+46+62+54+40+96+52+98+40+42+52+60
=
15
822
=54.8;
Number of observations =15 (odd)
Median score =8th number arranging in ascending order which is 52.
Maximum frequency =3 of 52
∴ Mode =52..
The minimum value of X is 6 if Mode for the given data is 4
Given:
The marks scored by some students in a math test
Marks Number of students
0 3
1 2
2 3
3 5
4 X
5 1
Mode for the given data is 4
To Find:
- The minimum value of X
Solution:
- Mode of data set is the value which occurs maximum number of times.
- A Data set can have multiple modes or no mode at all
Marks Number of students
0 3
1 2
2 3
3 5
4 X
5 1
Given that 4 is the mode of the data Hence, 4 must have maximum occurrence.
So number of Students having marks 4 must be maximum.
5 Students got 3 Marks Hence number of students getting mark 4 should be more than 5.
(In case of 5 students getting marks 4 , there will be two mode 3 and 4)
As Given data has only mode 4
So Number of students must be more than 5 who got 4 marks
Minimum Students more than 5 can be 6 as Students can not be whole numbers only.
Hence Minimum value of X is 6
(Although you Question missing the table , Same has been attached)
