Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics

Kerala State Board New Syllabus Plus One Maths Chapter Wise Previous Questions and Answers Chapter 15 Statistics.

Kerala Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics

Plus One Maths Statistics 3 Marks Important Questions

Question 1.
Consider the numbers 4,7,8,9,10,12,13,17 (MARCH-2010)
i) Find the mean of the numbers.
ii) Find the mean deviation about the mean.
iii) Find the standard deviation.
Answer:
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 1
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 2

Question 2.
Consider the following data; 35,49,30,32,50,41,34,45,36 (MARCH-2013)
i) Find its median.
ii) Find its mean deviation about median
Answer:
i) 30, 32, 34, 35, 36, 41, 45, 49, 50
Median is the 5th observation when the data is arranged in ascending order. Hence median = 36
ii)
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 3

Question 3.
The mean and standard deviation of marks obtained by 50 students of 50 students in a class in two subjects mathematics are given below:  (IMP-2014)
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 4
Which one of the subject shows highest variability in marks? Why?
Answer:
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 5
Thus Accountancy with highest CV shows highest variability and Mathematics with lowest CV shows lowest variability.

Plus One Maths Statistics 4 Marks Important Questions

Question 1.
A public Opinion polling agency surveyed 200 government employees. The following table shows the ages of the employees interviewed: (MARCH-2011)
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 6
i) Calculate the mean age of the employees interview.
ii) Compute the mean deviation of the ages about the mean age.
Answer:
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 7
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 8

Question 2.
Consider the following frequency table. (IMP-2011)
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 46
i) Find the mean.
ii) Find the mean deviation about mean.
Answer:
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 9

Question 3.
Consider the following data in respect of marks of 50 students in Mathematics and Physics. (IMP-2011)
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 10
i) Find coefficient of variation of Mathematics and Physics.
ii) Which subject shows more variability?
iii) Which subject shows more consistent?
Answer:
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 11
ii) Greater CV more variability; therefore Mathematics is more variable than Physics.
iii) Less CV more consistent, therefore Physics is more consistent.

Question 4.
Find the Standard deviation for the following data: (IMP-2012)
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 12
Answer:
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 13

Question 5.
Consider the frequency distribution. (MARCH-2013)
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 14
i) Find the mean.
ii) Calculate the variance and the standard deviation.
Answer:
i)
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 15
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 16
ii)
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 17

Question 6.
Consider the frequency distribution. (MARCH-2013)
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 18
i) Find the mean.
ii) Calculate the variance and standard deviation.
Answer:
i)
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 19
ii)
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 20

Question 7.
Consider the following frequency table (MARCH-2014)
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 21
i) Find the mean.
ii) Find the mean deviation about the mean.
Answer:
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 22

Question 8.
Find the standard deviation of the data: (IMP-2014)
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 23
Answer:
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 24

Plus One Maths Statistics 6 Marks Important Questions

Question 1.
The scores of two batsmen A and B in 5 innings during a certain match are as follows: (IMP-2010)
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 25
Find:
i) Mean score of each batsman.
ii) Standard deviation of the scores of each batsman.
iii) Which of the batsman is more consistent?
Answer:
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 26
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 27

Question 2.
Calculate mean, variance and standard deviation for the following distribution. (IMP-2012)
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 28
Answer:
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 29
Standard Deviation = √20100 = 141.8

Question 3.
Calculate the median and Mean deviation about median for the following data. (IMP-2012)
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 30
Answer:
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 31
Median class is the class in which the \(\left(\frac{50}{2}=25\right)^{t h}\) observation lies. Therefore median class is 20 – 30.
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 32

Question 4.
Consider the following distribution; (MARCH-2012)
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 33
i) Calculate the mean of the distribution.
ii) Calculate the standard deviation of the distribution.
Answer:
i)
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 34
ii)
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 35

Question 5.
Consider the following distribution. (IMP-2012)
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 36
i) Find the mean.
ii) Find the standard deviation.
iii) Find the coefficient of variation of marks.
Answer:
i)
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 16
ii)
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 15
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 17
iii)
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 37

Question 6.
Consider the frequency distribution (MARCH-2014)
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 38
i) Find the mean.
ii) Calculate the variance and the standard deviation.
Answer:
i)
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 39
ii)
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 40

Question 7.
i) If \(overline { x }\) is the mean and a is the standard deviation of a distribution, then the coefficient of variation is ……… (MARCH-2015)
a) \(\frac{\bar{x}}{\sigma} \times 100\)
b) \(\frac{\sigma}{\bar{x}}\)
c) \(\frac{\sigma}{\bar{x}} \times 100\)
d) \(\frac{\bar{x}}{\sigma} \times 50\)
ii) Find the standard deviation for the following data:
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 41
Answer:
i)
\(\frac{\bar{x}}{\sigma} \times 100\)
ii)
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 13

Question 8.
i) The sum of all the deviations of the observations of a data from its A.M. is …………. (IMP-2013)
a) Zero
b) Maximum
c) Minimum
d) Negative number
ii) Calculate the Mean. Variance and Standard deviations of the following frequency distribution.
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 42
Answer:
i) a) zero
ii)
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 15
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 17
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 37

Question 9.
i) Suppose the mean of certain number of observation is 50 and the sum of all the observations is 450. Write down the number of observations (MARCH-2016)
ii) Find the mean deviation about mean for the following data:
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 43
Answer:
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 47

Question 10.
i) If the variance of a certain distribution is 8, write its standard deviation. (MAY-2017)
ii) Find the mean, standard deviation and coefficient of variation for the following frequency distribution.
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 48
Answer:
i) √8
ii)
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 15
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 17
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 37

Question 11.
i) Find the variance for the observations 2,4,6,8 and 10. (MARCH-2017)
ii) Consider the frequency distribution
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 44
Answer:
i)
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 45
ii)
Plus One Maths Chapter Wise Previous Questions Chapter 15 Statistics 49

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