Question

1. calculate the mean (average) number of licks.
2. determine a median (middle number) and mode (most repeated) of the data
3. calculate the range (highest minus lowest) of the data.
4. did your prediction match your results? why do think it was the same or different?
5. what factors do you think affected your results (sources of error)?

Explanation:

Since the data on the number of licks is not provided, we can only provide the general steps for answering these questions.

Step1: Calculate the mean

The mean (average) of a set of data $x_1,x_2,\cdots,x_n$ is calculated by the formula $\bar{x}=\frac{\sum_{i = 1}^{n}x_i}{n}$, where $\sum_{i=1}^{n}x_i=x_1 + x_2+\cdots+x_n$ and $n$ is the number of data - points.

Step2: Determine the median

First, arrange the data in ascending or descending order. If $n$ is odd, the median is the middle - value. If $n$ is even, the median is the average of the two middle - values.

Step3: Determine the mode

The mode is the value that appears most frequently in the data set. A data set can have one mode (unimodal), more than one mode (bimodal or multimodal), or no mode (if no value is repeated).

Step4: Calculate the range

The range $R$ of a data set is calculated as $R=\text{Max}-\text{Min}$, where $\text{Max}$ is the highest value and $\text{Min}$ is the lowest value in the data set.

Step5: Answer question 4

Compare the prediction made before the data collection with the calculated results. If they match, explain the possible reasons (such as accurate prior knowledge or good assumptions). If they don't match, analyze the reasons for the differences (such as unexpected data values or incorrect assumptions).

Step6: Answer question 5

Possible factors that could affect the results include measurement errors (e.g., inaccurate counting of licks), individual differences (if multiple people were licking), environmental factors (e.g., temperature affecting the texture of the object being licked), etc.

Since no data is given, we cannot provide numerical answers for questions 1 - 3.

Answer:

1. Mean: Cannot be calculated without data. Use $\bar{x}=\frac{\sum_{i = 1}^{n}x_i}{n}$ when data is available.
2. Median: Cannot be calculated without data. Arrange data and use appropriate method based on whether $n$ is odd or even. Mode: Cannot be determined without data. Look for the most - repeated value.
3. Range: Cannot be calculated without data. Use $R = \text{Max}-\text{Min}$ when data is available.
4. Answer depends on personal prediction and results obtained from data (not available here). Analyze reasons for match or mismatch.
5. Possible factors include measurement errors, individual differences, environmental factors etc. (Answer should be more specific when data collection details are known).