CBSE Class 10-Mathematics: Chapter –14 Statistics Part 1
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Question 1:
Marks obtained by students are given below
Marks | |||||||
No. of Students |
Answer:
Marks | No. of students | |
The corresponding value of marks for
Question 2:
The sum of deviations of a set of values , measured from is and the sum of deviations of the values from is . Find the value of and the mean
Answer:
We have
Subtracting (2) from (1), we get
we get
Mean
Hence and mean
Question 3:
Prove that
Answer:
To prove algebraic sum of deviation from mean is zero
We have,
Now
Hence,
Question 4:
Compute the median from the following data
Mid Value | |||||||||
Frequency |
Answer:
Here, we are given the mid values. So, we should first find the upper and lower limits of the various classes. The difference between two consecutive values is
Lower limit of a class Midvalue
Upper limit
Calculate of Median
Mid-value | Class Groups | Frequency | Cumulative Frequency |
We have
The cumulative frequency first greater than N i.e. is and the corresponding class is is the median class
Now,
Median
Median