Question

mr. li records the measures of the lengths of his students handspans. the lengths, in centimeters, are shown in the table.
14.0 11.5 12.1 16.2 13.5 14.3 16.8
12.4 13.7 12.0 14.7 15.2 11.9 15.6
13.8 14.2 12.5 15.0 16.0 13.1 11.7
if the class creates a histogram of the data in the table, how many students are in the range 12 cm to 13.9 cm?
○ 3
○ 4
○ 7
○ 8

Explanation:

Step1: Identify the range

We need to find all the handspan lengths (in cm) that are greater than or equal to 12 cm and less than or equal to 13.9 cm.

Step2: List the data points

First, let's list all the data points from the table:
14.0, 11.5, 12.1, 16.2, 13.5, 14.3, 16.8,
12.4, 13.7, 12.0, 14.7, 15.2, 11.9, 15.6,
13.8, 14.2, 12.5, 15.0, 16.0, 13.1, 11.7

Step3: Filter the data

Now, we filter the data points that lie in the range 12 cm to 13.9 cm (inclusive of 12 and 13.9):

• From the first row: 12.1, 13.5
• From the second row: 12.4, 13.7, 12.0
• From the third row: 13.8, 12.5, 13.1

Let's count these: 12.1, 13.5, 12.4, 13.7, 12.0, 13.8, 12.5, 13.1. Wait, let's check again:

Wait, let's list each one:
12.1 (yes), 13.5 (yes),
12.4 (yes), 13.7 (yes), 12.0 (yes),
13.8 (yes), 12.5 (yes), 13.1 (yes). Wait, that's 8? Wait no, let's count again:

Wait the data points:

First row: 14.0 (no), 11.5 (no), 12.1 (yes), 16.2 (no), 13.5 (yes), 14.3 (no), 16.8 (no) → 2

Second row: 12.4 (yes), 13.7 (yes), 12.0 (yes), 14.7 (no), 15.2 (no), 11.9 (no), 15.6 (no) → 3

Third row: 13.8 (yes), 14.2 (no), 12.5 (yes), 15.0 (no), 16.0 (no), 13.1 (yes), 11.7 (no) → 3

Total: 2 + 3 + 3 = 8? Wait no, wait the third row is: 13.8, 14.2, 12.5, 15.0, 16.0, 13.1, 11.7. So 13.8 (yes), 12.5 (yes), 13.1 (yes) → 3. Second row: 12.4, 13.7, 12.0 → 3. First row: 12.1, 13.5 → 2. Total 2+3+3=8? Wait but let's list all the yes ones:

12.1, 13.5, 12.4, 13.7, 12.0, 13.8, 12.5, 13.1. Wait that's 8? Wait but let's check each value:

12.0: 12.0 is between 12 and 13.9 → yes

12.1: yes

12.4: yes

12.5: yes

13.1: yes

13.5: yes

13.7: yes

13.8: yes

Wait that's 8 values. Wait but let's check the original data again. Wait the table has 3 rows? Wait the first row: 7 numbers (14.0, 11.5, 12.1, 16.2, 13.5, 14.3, 16.8) → 7

Second row: 7 numbers (12.4, 13.7, 12.0, 14.7, 15.2, 11.9, 15.6) →7

Third row: 7 numbers (13.8, 14.2, 12.5, 15.0, 16.0, 13.1, 11.7) →7

Total 7+7+7=21 numbers. Let's count the yes ones:

From first row: 12.1, 13.5 → 2

Second row: 12.4, 13.7, 12.0 → 3

Third row: 13.8, 12.5, 13.1 → 3

Total 2+3+3=8. Wait but the options include 8. Wait the options are 3,4,7,8. So the answer is 8.

Answer:

8