- •Dealing with statistics вивчаючи статистику
- •Fundamentals of Statistics
- •Read and translate the text: What is statistics?
- •Complete the following sentences:
- •Present tenses Present Simple. Present Continuous. State Verbs
- •2. Fill in the gaps with the correct form of the verbs in brackets.
- •3. Fill in the gaps with the verbs in the box in the correct present tense.
- •Look at the following extracts. There are six incorrect verbs. Find and correct them.
- •Unit 2. A very brief history of statistics.
- •Practice the pronunciation of the words:
- •Read and memorize the following words and word combinations. Use them in the sentences. Pay attention to the prepositions.
- •Read and translate the following sentences:
- •Read and translate the text:
- •Why you need to use statistics
- •Past tenses 1 Past Simple. Past Continuous. Used to/ Would.
- •1. Fill in the gaps in this model answer with verbs from the box in the past simple.
- •3 A teacher and student are talking about local customs. Fill in the gaps with the verbs in brackets in the correct form. Use would or used to where possible.
- •Unit 3. Variable and constant. Discrete and continuous.
- •Practice the pronunciation of the words:
- •Read and memorize the following words. Use them in the sentences.
- •Read and translate the following sentences:
- •Read and translate the texts:
- •Variable and constant
- •Discrete and continuous
- •5. Write out the definitions from the texts:
- •6. Complete the following sentences:
- •7. Ask 10 general questions to the text.
- •8. Give examples of:
- •Present perfect Present Perfect. Present Perfect Continuous
- •1 Tick (/) the correct underlined verbs, and correct the verbs that are wrong.
- •3. Underline the correct form of the verbs.
- •4 Fill in the gaps with a verb from the box in the present perfect simple or present perfect continuous. You will need to use some verbs more than once.
- •Unit 4. Cardinal and ordinal. Population and sample.
- •1. Practice the pronunciation of the words:
- •Read and memorize the following words. Use them in the sentences.
- •Read and translate the following sentences:
- •Read and translate the texts:
- •5. Write out the definitions out of the texts:
- •6. Complete the following sentences:
- •7. Ask 10 general questions to the text.
- •8. Give examples of:
- •9. Summarize the contents of the text in 10 – 15 sentences. Use the expressions:
- •Past tenses іі Past Perfect. Past Perfect Continuous.
- •1 Fill in the gaps with the past perfect simple of the verbs in brackets in the positive or negative.
- •2 Complete the report with the past simple or past perfect simple of the verbs in brackets
- •Unit 5. Misuses of statistics.
- •Practice the pronunciation of the words:
- •Read and memorize the following words. Use them in the sentences.
- •Read and translate the following sentences:
- •Read and translate the texts:
- •Complete the following sentences:
- •6. Ask 10 general questions to the text.
- •7. Answer the following questions:
- •Sum up all the information about statistics and discuss this topic with your group-mates according to the plan:
- •Future 1 Plans, Intentions and Predictions: Present Continuous; Going to; Will
- •Fill in the gaps in the second half of this model answer with phrases from the box.
- •2 Fill in the gaps with the present continuous or will-future form of the verbs in brackets.
- •Unit 6. Basic statistical vocabulary.
- •1. Practice the pronunciation of the words:
- •2. Read, translate and memorize the following words. Use them in the sentences.
- •Read and translate the following sentences:
- •Read and translate the texts:
- •Variables and data
- •Complete the following sentences:
- •6. Ask 10 general questions to the text.
- •7. Answer the following questions:
- •8. Write out the definitions of variables from the texts:
- •Give examples of these variables.
- •Summarize the contents of the text in 10 – 15 sentences. Use the expressions:
- •Don’t put all your data into one basket!
- •Future 2 Present Simple; be about to; future continuous; future perfect
- •The following chart shows the results of a class survey about planned activities for Saturday afternoon. Complete the sentences using the future continuous tense.
- •Read the following projections about the future population of Australia
- •3 In six of these sentences there is a verb in the wrong tense. Underline each mistake and write the correction.
- •4 Fill in the gaps with a future form from this unit and the verbs in brackets.
- •Test Practice. Academic Writing Task 1
- •Test Yourself (Unit 1–6)
- •Unit 7. Sources of Data.
- •Practice the pronunciation of the words:
- •Read and memorize the following words. Use them in the sentences.
- •Read and translate the following sentences:
- •Read and translate the text:
- •Complete the following sentences:
- •Ask 10 general questions to the text.
- •Answer the following questions:
- •Agree or disagree with the following statements. Use the expressions:
- •Get ready to speak about sources of data. Use the following phrases:
- •Adjectives and Adverbs Describing things; adding information about manner, place, time, frequency and intensity.
- •1 Read the test task and the students' responses. Some of the adjectives they used are underlined. If they are used correctly, put a tick (/). If they are wrong, write the correct answer.
- •2 Write the missing adjectives and adverbs.
- •3 Match the beginnings (1-8) and the endings (a-h) of the sentences. Join them by adding a suitable -ed or -ing adjective formed from one of the verbs in the box. Use each verb once.
- •4 Underline the correct words.
- •Unit 8. Presenting Categorical Data.
- •1. Practice the pronunciation of the words:
- •2. Read and memorize the following words. Use them in the sentences.
- •3. Read and translate the following sentences:
- •4. Read and translate the text:
- •Column Variable
- •5. Complete the following sentences:
- •6. Ask 10 general questions to the text.
- •7 Answer the following questions:
- •8. Agree or disagree with the following statements. Use the expressions:
- •9. Get ready to speak about “Presenting Numerical Data”. Use the following phrases:
- •Comparing things Comparative and superlative adjectives and adverbs; other ways of comparing
- •1 Fill in the gaps with the adjectives in the box in a comparative or superlative form.
- •2 Fill in the gaps with the words in brackets in a comparative or superlative form.
- •3 Fill in the gaps in the model answer below. Use one word in each gap.
- •Academic Writing Task 2
- •Unit 9. Analysing and Presenting Data.
- •1. Practice the pronunciation of the words:
- •Read and memorize the following words. Use them in the sentences.
- •3. Read and translate the following sentences:
- •4. Read and translate the texts:
- •5. Complete the following sentences:
- •6. Ask 10 general questions to the text.
- •7. Answer the following questions:
- •Give examples of graphs you know. Modals I
- •I Obligation and necessity; suggestion and advice; adverbs
- •2 Fill in the gaps below with the correct form of (not) have to, must, (not) need or should.
- •3 Read the extract. Decide if the underlined phrases are correct or not. Tick (✓) them if they are right and correct them if they are wrong.
- •4 Fill in the gaps with the correct form of (not) have to, ought to or must(n't) and the verbs in brackets.
- •Modals II Ability; possibility; alternatives to modals
- •5 Underline the most suitable words. Sometimes both options are possible
- •6 Tick (✓) the sentence, a or b, which best matches the sentence on the right.
- •7 Replace the underlined phrases with a suitable past modal phrase.
- •Unit 10. Describing data.
- •Practice the pronunciation of the words:
- •Read and memorize the following words. Use them in the sentences.
- •3. Read and translate the following sentences:
- •4. Read and translate the texts:
- •Inferring differences and relationships
- •5. Complete the following sentences:
- •6. Ask 10 general questions to the text.
- •7. Answer the following questions:
- •11. Changes can also be described in more detail by modifying a verb with an adverb. Using a verb from box a and an adverb from box b make sentences describing the changes represented on the graph.
- •12. Read the following summary of the Magic Music Downloads. The expressions in bold refer to time and amount. Underline the expression that you think is correct according to the graph.
- •Write a brief summary of your own graph using the language you have covered in this lesson.
- •14. Extension. (If you have time in this lesson or for the beginning of the next lesson)
- •Up close and personal: Survey results
- •If your data are categorical:
- •If your data are numerical:
- •Reported speech Tense changes; time references; reporting questions; reporting verbs
- •1 Here is a conversation between Tanya and her teacher.
- •2 Underline the correct verb in each sentence.
- •3 Correct the mistakes in these sentences.
- •4 Report each of the sentences below using a verb from the box. Remember that you do not need to report the original words exactly.
- •Uniit 11 categorical data in tables and graphs
- •Practice the pronunciation of the words:
- •Memorize the following words and word combinations. Use them in the sentences. Pay attention to the prepositions.
- •Read and translate the following sentences:
- •Read and translate the text:
- •Complete the following sentences:
- •Ask 10 general questions to the text.
- •Answer the following questions:
- •Get ready to speak about presenting categorical data using tables. Draw the examples of a frequency, a cross-classification table and graphs to support your talk.
- •1 Fill in the gaps with the correct form of the verbs in brackets.
- •2 Underline the correct form of the verbs.
- •4 Fill in the gaps in the letter using both of the verbs in brackets.
- •Unit 12 numerical data in tables and graphs
- •1. Practice the pronunciation of the words:
- •2. Memorize the following words and word combinations. Use them in the sentences. Pay attention to the prepositions.
- •3. Read and translate the following sentences:
- •4. Read and translate the text:
- •Complete the following sentences:
- •6. Ask 10 disjunctive questions to the text.
- •7. Answer the following questions:
- •8. Get ready to speak about the graphs. Use the following phrases:
- •Likelihood based on conditions
- •I. Zero, first and second conditionals; other ways to introduce a condition
- •2 Fill in the gaps in the extracts below using the verbs in brackets in the correct form.
- •3 Decide if the underlined verbs are correct or not. Tick (✓) them if they are right and correct them if they are wrong
- •4 Underline the correct words.
- •II Third conditional; mixed conditionals; wishes and regrets; should(n’t) have
- •1 Fill in the gaps with the correct form of the verbs in brackets.
- •2 Read about two scientific discoveries that were made due to chance and complete the sentences.
- •3 Find and correct the mistakes in the sentences below.
- •Test Practice. Academic Reading
- •Academic Writing Task 3
- •Test Yourself (Units 7 – 12)
- •Keys to grammar exercises удалено Grammar references
- •Future continuous
- •Future perfect
- •Future perfect continuous
- •1 Adjectives
- •2 Adverbs
- •Irregular adverbs
- •Reported Statements
- •Reported Questions
- •Reported Orders
- •Reported Commands, Requests, Suggestions, etc
- •Difference in meaning between the to-infinitive and -ing form
- •The infinitive without to (also called bare infinitive) is used:
- •Conditionals:Types 2 and 3
- •Other words to introduce a condition
- •In case
- •Mixed conditionals
- •Irregular verbs
- •Glossary
- •Key vocabulary index
- •References
- •Content
11. Changes can also be described in more detail by modifying a verb with an adverb. Using a verb from box a and an adverb from box b make sentences describing the changes represented on the graph.
A. increase decrease decline fall rise drop |
B. dramatically sharply gradually slightly rapidly moderately slowly steadily |
1 2000-2004 sales increased steadily/slowly
2 2004-2005 _________________________
3 2005-2006 _________________________
4 2006-2008 _________________________
5 2008-2009 _________________________
12. Read the following summary of the Magic Music Downloads. The expressions in bold refer to time and amount. Underline the expression that you think is correct according to the graph.
The number of music downloads rose steadily from just under/well under 500,000 in 2000 to 1 million in 2004. By 2005 the number had doubled/trebled to exactly/approximately 2 million. 2006 showed a moderate fall in the number of downloads to nearly/over 1.5 million. Over the next year sales fluctuated before rocketing to 3 million this year. We still do not believe that the number of downloads has peaked and predict that the number will increase significantly/slightly over the next 3 to 4 years to well over 10 million.
Write a brief summary of your own graph using the language you have covered in this lesson.
14. Extension. (If you have time in this lesson or for the beginning of the next lesson)
Collect all the students’ graphs and stick these up around the room. While you are doing this – get students to exchange summaries so they all have a different summary to look at. They then have to read the summary and find the graph on the wall they think it refers to. You could make this a competition to see who can spot their graph first. If there is time – repeat the activity.
* * * * *
Up close and personal: Survey results
The Gallup Organization states its survey results in a universal, statistically correct format. Using a specific example from a recent survey it conducted, you can see the language it uses to report its results:
“These results are based on telephone interviews with a randomly selected national sample of 1,002 adults, aged 18 years and older, conducted June 9–11, 2006. For results based on this sample, one can say with 95% confidence that the maximum error attributable to sampling and other random effects is ±3 percentage points. In addition to sampling error, question wording and practical difficulties in conducting surveys can introduce error or bias into the findings of public opinion polls.”
The first sentence of the quote refers to how the Gallup Organization collected the data, as well as the size of the sample. As you can guess, precision is related to the sample size, as seen in the section “Calculating precision.”
The second sentence of the quote refers to the precision measurement: How much did Gallup expect these sample results to vary? The fact that Gallup is 95 percent confident means that if this process were repeated a large number of times, in 5 percent of the cases the results would be wrong, just by chance. This inconsistency occurs if the sample selected for the analysis doesn’t represent the population — not due to biased reasons, but due to chance alone.
One-Minute Summary
To choose an appropriate table or chart type, your starting point is always to determine whether your data are categorical or numerical.
