Question 3 of 18intermediate✨ CreateShort Answer10 marks

Individual Project: Pick at least one of the following: (a) How Long is a Sentence? Pick any two textbooks from different subjects. Choose any page with a lot of text from each book. (i) Use a dot plot to describe how many words the sentences have on each page. (ii) Compare the data of both the pages using mean and median. (b) What is in a Name? Write down the names of all of your classmates. The following are some interesting things you can do with this data! (i) Find the mean and median name length (number of letters in a name). (ii) Visualise the data and describe its variability and central tendency. (iii) Which starting letters are more popular? Which are less popular? (iv) What is the median starting letter? What does this say about the number of names starting with the letters A–M and N–Z? (v) Plot a double-bar graph showing the number of boys' names and girls' names that start and end with vowels, start with vowels and end with consonants, start with consonants and end with vowels, start and end with consonants.

Correct Answer

Part (a) — How Long is a Sentence?

(i) Creating Dot Plots: Students count words in each sentence on selected pages from two textbooks. Create dot plots showing the distribution of sentence lengths for each page.

(ii) Comparing Data: Calculate the mean sentence length for each page. Calculate the median sentence length for each page. Compare the central tendency of both datasets using these measures.

Part (b) — What is in a Name?

(i) Mean and Median Name Length: Collect names of all classmates. Count the number of letters in each name. Calculate the mean name length. Calculate the median name length.

(ii) Visualizing Data: Create appropriate visualizations (dot plots, bar graphs, etc.). Describe the variability (spread) of the data. Describe the central tendency (center) of the data.

(iii) Starting Letter Popularity: Tally how many names begin with each letter. Identify which starting letters are more popular. Identify which starting letters are less popular.

(iv) Median Starting Letter: Arrange starting letters in alphabetical order. Find the median starting letter. Compare the number of names starting with letters A–M vs. N–Z.

(v) Double-Bar Graph: Categorize names by: start and end with vowels, start with vowel and end with consonant, start with consonant and end with vowel, start and end with consonants. Separate data by boys' names and girls' names. Construct a double-bar graph showing the counts for each category.

Exercise: Figure it Out (Section 4) | Q: 11 | (Chapter: Page 36-37)
For More Understanding

Explanation

These are individual projects requiring data collection, organization, analysis, and visualization. Students apply concepts of mean, median, dot plots, and double-bar graphs to real-world data they collect themselves.

Solution Steps

  1. Part (a)(i): Count words in each sentence and create dot plots for both textbook pages.

  2. Part (a)(ii): Calculate and compare mean and median sentence lengths between the two pages.

  3. Part (b)(i): Collect classmate names and calculate mean and median name lengths.

  4. Part (b)(ii): Create visualizations and describe variability and central tendency.

  5. Part (b)(iii): Tally starting letters to identify popular and less popular letters.

  6. Part (b)(iv): Find the median starting letter and compare A–M vs. N–Z distributions.

  7. Part (b)(v): Create a double-bar graph categorizing names by vowel/consonant patterns for boys and girls.

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