"The quick brown fox jumps over the lazy dog" Examine the above sentence carefully and note the numbers of letters in each word. Treating the number of letters as a variable, prepare a frequency array for this data.
Step 1: Count the number of letters in each word
The sentence is: "The quick brown fox jumps over the lazy dog"
- The = 3 letters
- quick = 5 letters
- brown = 5 letters
- fox = 3 letters
- jumps = 5 letters
- over = 4 letters
- the = 3 letters
- lazy = 4 letters
- dog = 3 letters
Step 2: Arrange the data
The number of letters in each word: 3, 5, 5, 3, 5, 4, 3, 4, 3
Step 3: Prepare the Frequency Array
Since the number of letters is a discrete variable, the classification of data is known as a Frequency Array. It shows frequencies corresponding to each integral value.
| Number of Letters | Frequency |
|---|---|
| 3 | 4 |
| 4 | 2 |
| 5 | 3 |
| Total | 9 |
The frequency array shows that words with 3 letters occur 4 times, words with 4 letters occur 2 times, and words with 5 letters occur 3 times in the given sentence.
Explanation
This question tests the student's understanding of frequency arrays for discrete variables. The context explains that for a discrete variable, the classification of data is called a Frequency Array, where frequencies correspond to each integral value. The number of letters is a discrete variable as it can only take whole number values (1, 2, 3, etc.). Students need to first count letters in each word, then tally the frequencies for each distinct value.
Solution Steps
Step 1: Count letters in each word of the sentence
Step 2: List the number of letters for all 9 words
Step 3: Tally how many times each letter count appears
Step 4: Present as a frequency array table with total