Class 10 Exam > Class 10 Notes > Mathematics (Maths) Class 10 > Short Answer Questions: Statistics
Class 10 Maths Chapter 13 Question Answers - Statistics
II. SHORT ANSWER TYPE QUESTIONS
Q1. Find the mode of the data:
Marks | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 |
No. of students | 3 | 12 | 32 | 20 | 6 |
Sol. Here, modal class is 20–30
f1 = 32, f2 = 20 and f0 = 12
Since, the lower limit of the modal class
l = 20
[∵ h = 10]
Q2. The percentage marks obtained by 100 students in an examination are given below:
Marks | 30-35 | 35-40 | 40-45 | 45-50 | 50-55 | 55-60 | 60-65 |
Frequency | 10 | 16 | 18 | 23 | 18 | 8 | 7 |
Find the median from the above data.
Sol. We have:
Marks | Frequency | cf |
30-35 | 10 | 10 + 0 = 10 |
35-40 | 16 | 16 + 10 = 26 |
40-45 | 18 | 18 + 26 = 44 |
45-50 | 23 | 23 + 44 = 67 |
50-55 | 18 | 18 + 67 = 85 |
55-60 | 8 | 8 + 85 = 93 |
60-65 | 7 | 7 + 93 = 100 |
Here, 
∴ The median class is 45−50, such that
l = 45, cf = 44, f = 23 and h = 5
Q3. Write a frequency distribution table for the following data:
Marks | Above 0 | Above 10 | Above 20 | Above 30 | Above 40 | Above 50 |
No. of students | 30 | 28 | 21 | 15 | 10 | 0 |
Sol. Since,
30 − 28 = 2
28 − 21 = 7
21 − 15 = 6
15 − 10 = 5
10 − 0 =10
The required frequency distribution is:
Marks | Number of students |
0-10 | 2 |
10-20 | 7 |
20-30 | 6 |
30-40 | 5 |
40-50 | 10 |
Total | 30 |
Q4. Find the median of the following data:
Class interval | 0-20 | 20-40 | 40-60 | 60-80 | 80-100 | 100-120 |
Frequency | 7 | 8 | 12 | 10 | 8 | 5 |
Sol.
Class Interval | Frequency | Cumulative frequency |
0-20 | 7 | 7 |
20-40 | 8 | 15 |
40-60 | 12 | 27 |
60-80 | 10 | 37 |
80-100 | 8 | 45 |
100-120 | 5 | 50 |
Total | 50 |
|
∵ Median class is 40–60 
∴ l = 40, f = 12, CF = 15 and h = 20
Since, 
The document Class 10 Maths Chapter 13 Question Answers - Statistics is a part of the Class 10 Course Mathematics (Maths) Class 10.
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FAQs on Class 10 Maths Chapter 13 Question Answers - Statistics
| 1. What is statistics? |  |
Ans. Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It involves methods for summarizing and describing data, making inferences and predictions based on data, and testing hypotheses.
| 2. What are the different types of data in statistics? | |
Ans. In statistics, there are primarily four types of data: nominal, ordinal, interval, and ratio. Nominal data represents categories or labels, ordinal data has a natural order or rank, interval data has equal intervals between values, and ratio data has a meaningful zero point and equal intervals.
| 3. How do you calculate the mean, median, and mode? | |
Ans. The mean is calculated by summing up all the values in a dataset and dividing it by the number of values. The median is the middle value when the data is arranged in ascending or descending order. The mode is the value that appears most frequently in the dataset.
| 4. What is the difference between correlation and causation? | |
Ans. Correlation refers to a statistical relationship between two variables, where a change in one variable is associated with a change in the other variable. Causation, on the other hand, implies that one variable directly influences or causes a change in another variable. Correlation does not necessarily imply causation, as there may be other factors or variables at play.
| 5. How can statistics be used in real life? | |
Ans. Statistics has various applications in real life. It can be used in analyzing and interpreting data in fields such as business, economics, healthcare, social sciences, and sports. Statistics helps in making informed decisions, predicting trends, assessing risks, conducting surveys, and conducting research studies.
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