Question

sophia is learning to juggle using pineapples. in 10 practice sessions, she has damaged a number of pineapples: 12 pineapples, 14 pineapples, 10 pineapples, 14 pineapples, 11 pineapples, 10 pineapples, 10 pineapples, 11 pineapples, 10 pineapples, 14 pineapples. what was the range of the numbers of pineapples damaged?

Explanation:

Step1: Identify the data set

The number of pineapples damaged in each session: 12, 14, 10, 14, 10, 11, 10, 14, 10, 11 (assuming we list all 10 values from the given data: let's re - check the visible data. From the image, the values are 12, 14, 10, 14, 10, 11, 10, 14, 10, 11? Wait, let's count the number of data points. The problem says 10 practice sessions. Let's list all the values: 12, 14, 10, 14, 10, 11, 10, 14, 10, 11? Wait, maybe I missed. Wait, the given data (from the image) has: 12, 14, 10, 14, 10, 11, 10, 14, 10, 11? Wait, no, let's count the number of "pineapples" entries. Let's list them:

First row: 12, 10, 11

Second row:14, 14, 10

Third row:10, 11, 10

Fourth row:14, 10

Wait, that's 3 + 3+3 + 2=11? No, the problem says 10 practice sessions. Maybe a typo, but let's take the maximum and minimum. Let's list all the visible values: 12, 10, 11, 14, 14, 10, 10, 11, 10, 14. Now, let's sort them: 10, 10, 10, 10, 10, 11, 11, 12, 14, 14, 14? Wait, no, 10 values. Let's count again. Let's list each value:

1. 12

1. 14

1. 10

1. 14

1. 10

1. 11

1. 10

1. 14

1. 10

1. 11

Yes, 10 values.

Step2: Find the maximum value

In the data set {10, 10, 10, 10, 11, 11, 12, 14, 14, 14}, the maximum value is 14.

Step3: Find the minimum value

In the data set, the minimum value is 10.

Step4: Calculate the range

The formula for range is \( \text{Range}=\text{Maximum value}-\text{Minimum value} \)

So, \( \text{Range}=14 - 10=4 \)

Wait, wait, wait. Wait, let's re - check the data. Wait, the first value is 12, then 14, 10, 14, 10, 11, 10, 14, 10, 11. Wait, no, when we sort them: 10, 10, 10, 10, 11, 11, 12, 14, 14, 14? No, 10 values: 10 (appears how many times? Let's count: 10,10,10,10,10? No, in the list: 10 (from second row), 10 (third row), 10 (third row), 10 (fourth row), 10 (second row? Wait, maybe I made a mistake. Let's list all 10 values correctly. Let's look at the image again. The values are:

• 12

• 14

• 10

• 14

• 10

• 11

• 10

• 14

• 10

• 11

• Wait, that's 11 values. Oh, maybe the problem has a typo, but the key is to find max and min. Let's take the maximum value as 14 and the minimum value as 10.

Step2: Calculate the range

The range is calculated as \( \text{Range}=\text{Maximum}-\text{Minimum} \)

\( \text{Maximum}=14 \), \( \text{Minimum}=10 \)

\( \text{Range}=14 - 10 = 4 \)

Wait, but wait, there is a 12 and 11. Wait, 12 is larger than 11, so maximum is 14, minimum is 10. So 14 - 10 = 4.

Answer:

The range of the number of pineapples damaged is 4.