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Statistics Class 9 Worksheet Maths Chapter 13

Multiple Choice Questions

Q1: For what value of n, the mode of the following data is 18?
2, 5, 3, 18, 5, 18, 6, 5, n, 7, 18
(a)
18
(b) 5
(c) It can be any value
(d) None of these

Q2: There are 150 numbers. Each number is subtracted from 60 and the mean of the numbers so obtained is found to be –4.5. The mean of the given numbers is
(a)
400
(b) 34.5
(c) 64.5
(d) 55.5

Q3: The median and mean of the first 10 natural numbers are,
(a)
5.5,5.5
(b) 5.5,6
(c) 5,6
(d) None of these

Q4: The following observations are arranged in ascending order :
20, 23, 42, 53, x, x + 2, 70, 75, 82, 96
If the median is 63, find the value of x.
(a) 
62
(b) 64
(c) 60
(d) None of these

Q5: The mean of 20 observations was 60. It was detected on rechecking that the value of 125 was wrongly copied as 25 for computation of mean. Find the correct mean
(a)
67
(b) 66
(c) 65
(d) None of the above

Fill in the blanks

Q1: The mean of the data set (4 , 10 , 7 , 7 , 6 , 9 , 3 , 8 , 9 )  is ___________ (7/8/9)

Q2: The median of the above data set is _______ (7/8/9)

Q3: There are ______ Modes of the above given data set (1/2/3)

Q4: The range of the data set (78 , 65 , 68 , 72 , 70 , 76 , 74 , 62 , 80 , 82 , 96 , 101) is _______ (56/39/40)

Q5: The mean of five numbers is 40. If one number is excluded, their mean becomes 28.The excluded number is _____ (68/88)

True / False 

Two sections of Class XII having 30 students each appeared for Science Olympiad. The marks obtained by them are shown below:
46 31 74 68 42 54 14 61 83 48 37 26 8 64 57
93 72 53 59 38 16 88 75 56 46 66 45 61 54 27
27 44 63 58 43 81 64 67 36 49 50 76 38 47 55
77 62 53 40 71 60 58 45 42 34 46 40 59 42 29
Student having Marks above 80 are exceptional
Student obtaining below 30 marks are failed
(i) The no of student who scored more than 89 marks is 2
(ii) The number who scored, marks between 50-69 is 22
(iii) The number of student who scored more than 49 marks is 32
(iv) The range of the marks is 85
(v) The no of exceptional students are 4
(vi) Student who failed in the test are 7

Answer the following Questions

Q1: The following data gives the amount of manure (in tones) manufactured by a company during some years.
Statistics Class 9 Worksheet Maths Chapter 13

  • Represent it with a bar graph.
  • Indicate with help of bar graph in which year, the amount of manufactured by company was maximum.

Q2: The following observations are arranged in ascending order:
26, 29, 42, 53, x, x + 2, 70, 75, 82, 93
If the median is 65, find the value of x

Q3: Mean of 50 observations was found to be 80.4. But later on, it was discovered that 96 was misread as 69 at one place. Find the correct mean.

The solutions of the worksheet "Worksheet Solutions: Statistics"

The document Statistics Class 9 Worksheet Maths Chapter 13 is a part of the Class 9 Course Mathematics (Maths) Class 9.
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FAQs on Statistics Class 9 Worksheet Maths Chapter 13

1. What is statistics and why is it important in research?
Ans. Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It helps researchers make sense of complex data sets and draw meaningful conclusions. Statistics plays a crucial role in research as it allows researchers to make informed decisions, validate hypotheses, and identify patterns or trends in the data.
2. What are the different types of statistical data?
Ans. There are four main types of statistical data: nominal, ordinal, interval, and ratio. Nominal data consists of categories or labels with no specific order or ranking. Ordinal data represents categories with a natural order or ranking. Interval data has equal intervals between values, but there is no true zero point. Ratio data, on the other hand, has equal intervals and a true zero point, allowing for meaningful ratios between values.
3. How do you calculate the mean, median, and mode of a data set?
Ans. The mean is calculated by summing up all the values in a data set and dividing by the total number of values. The median is the middle value when the data set is ordered from least to greatest. If there is an even number of values, the median is the average of the two middle values. The mode is the value that appears most frequently in the data set.
4. What is the difference between correlation and causation in statistics?
Ans. Correlation measures the strength and direction of the relationship between two variables but does not imply causation. It means that two variables may be related or associated, but one does not necessarily cause the other. Causation, on the other hand, implies a cause-and-effect relationship between two variables, where changes in one variable directly cause changes in the other.
5. How do you interpret a p-value in statistical analysis?
Ans. In statistical analysis, the p-value represents the probability of obtaining results as extreme as the observed data, assuming that the null hypothesis is true. A p-value less than a predetermined significance level (e.g., 0.05) indicates that the results are statistically significant, suggesting that the observed data is unlikely to occur by chance alone. A p-value greater than the significance level suggests that the results may be due to random variation and do not provide strong evidence against the null hypothesis.
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