A random sample of students was surveyed and asked to list their grade level and whether or not they have a pet. Results are shown in the table below, but some values are missing. Fill in the missing values.

Question

Pets Survey
Grade Pets No Pets Total
6th grade
11 12 23
7th grade
{blank, find out what goes here!}
8th grade
26 10 36
Total
53 38 91

Answer 1

To find the missing value from the table, we can use the information already provided. We know the total number of pets surveyed and the total number of students surveyed.

Let's first summarize the information we have:

1. From the table:

   • 6th grade: 11 pets, 12 no pets (Total: 23)
   • 7th grade: \( x \) pets, \( y \) no pets
   • 8th grade: 26 pets, 10 no pets (Total: 36)

2. Total:

   • Total pets: 53
   • Total no pets: 38
   • Total students: 91

We can find the total for the 7th grade by using the totals:

Step 1: Find total pets in 7th grade. Total pets = 53 Pets in 6th grade = 11 Pets in 8th grade = 26

So, the total pets in 7th grade: \[ x = 53 - (11 + 26) = 53 - 37 = 16 \]

Step 2: Find total no pets in 7th grade. Total no pets = 38 No pets in 6th grade = 12 No pets in 8th grade = 10

So, the total no pets in 7th grade: \[ y = 38 - (12 + 10) = 38 - 22 = 16 \]

Final Summary of the 7th grade:

• Pets: 16
• No Pets: 16
• Total: \( 16 + 16 = 32 \)

Updated Table: | Grade | Pets | No Pets | Total | |--------------|------|---------|-------| | 6th grade | 11 | 12 | 23 | | 7th grade | 16 | 16 | 32 | | 8th grade | 26 | 10 | 36 | | Total | 53 | 38 | 91 |

Thus, the missing value for the 7th grade (pets) is 16.