Class 11 Mathematics — Chapter 13: STATISTICS

What you'll learn

• ▸Measures of Dispersion vs. Central Tendency
• ▸Range
• ▸Concept of Mean Deviation
• ▸Mean Deviation about the Mean for Ungrouped Data
• ▸Mean Deviation about the Median for Ungrouped Data
• ▸Mean Deviation for Discrete Frequency Distribution

Chapter Summary

--- PAGE 1 --- Chapter 13 STATISTICS ❖ “Statistics may be rightly called the science of averages and their estimates.” – A.L.BOWLEY & A.L. BODDINGTON ❖ 13.1 Introduction We know that statistics deals with data collected for specific purposes. We can make decisions about the data by analysing and interpreting it. In earlier classes, we have studied methods of representing data graphically and in tabular form. This representation reveals certain salient features or characteristics of the data. We have also studied the methods of finding a representative value for the given data. This value is called the measure of central tendency. Recall mean (arithmetic mean), median and mode are three measures of central tendency. A measure of central tendency gives us a rough idea where data points are centred. But, in order to make better interpretation from the data, we should also have an idea how the data are scattered or how much they are bunched around a measure of central tendency. …

Practice Questions from this Chapter

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1. Explain data variability simply. Get Solution →
2. Give real-world examples of mean. Get Solution →
3. Compare mean and median uses. Get Solution →
4. What are the three measures of central tendency mentioned in the text? Get Solution →
5. How is the Range of a data series calculated? Get Solution →
6. According to the text, what is the value of the sum of the deviations from the mean (x̄)? Get Solution →
7. A 'measure of dispersion' is a single number used to describe what property of data? Get Solution →
8. What is the first step in calculating the mean deviation about the mean for ungrouped data? Get Solution →

Did you know?

• 💡 The word 'statistics' comes from the Latin 'statisticum collegium', meaning state council.
• 💡 Ancient Egyptians used statistics to predict the annual flooding of the Nile River.
• 💡 The world's longest running statistical study has continued non-stop since 1938.
• 💡 A chicken lays an average of 300 eggs per year, but some lay none.
• 💡 You are more likely to get struck by lightning than win the lottery jackpot.

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