High School

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Use the following data sets in problems #4 and #6.

**Data Set 1:**
A genetic study was performed on the number of armored plates found on stickleback fish. A random sample of 40 stickleback fish showed the following number of plates:

42, 64, 62, 9, 12, 62, 50, 12, 27, 11, 65, 64, 63, 21, 49, 62, 43, 65, 51, 62, 12, 2162, 62, 669, 64, 12, 63, 10, 54, 21, 61, 9, 20, 63, 45, 57, 60, 62

**Data Set 2:**
It has been hypothesized that the body temperature of healthy adult humans is normally distributed. A random sample of 25 healthy adults resulted in the following body temperatures:

98.5, 98.6, 97.8, 98.9, 97.9, 99, 98.2, 98.7, 98.8, 99, 98, 99.2, 99.5, 99.4, 98.3, 99.1, 98.4, 97.6, 97.4, 97.7, 97.5, 98.8, 98.6, 99.3, 98.4

**Tasks:**

**2.4** For each of the data sets, calculate the mean and median. Based on the mean and median, what is the most likely distribution of each data set?

**2.5** Construct a boxplot for EACH data set.

**2.6** Do the graphs in #5 support your answers to #4? Justify your answer using a complete sentence and proper grammar.

Answer :

For Data Set 1, the mean is 46.15 and the median is 51.5, suggesting a right-skewed distribution. For Data Set 2, the mean is 98.78 and the median is 98.7, indicating a relatively symmetric distribution.

Data Set 1:

Mean: 46.15

Median: 51.5

Based on the mean and median, the data set is likely to have a right-skewed distribution.

Data Set 2:

Mean: 98.78

Median: 98.7

Based on the mean and median, the data set is likely to have a relatively symmetric distribution.

To construct a boxplot for each data set, we need to determine the minimum value, first quartile (Q1), median (Q2), third quartile (Q3), and maximum value.

Boxplot for Data Set 1:

Minimum: 9

Q1: 12

Median: 51.5

Q3: 62

Maximum: 2162

Boxplot for Data Set 2:

Minimum: 97.4

Q1: 98.4

Median: 98.7

Q3: 99

Maximum: 99.5

The graphs in #5 support the answers in #4.

In Data Set 1, the box plot shows a longer right whisker, indicating the right-skewed nature suggested by the mean and median.

In Data Set 2, the boxplot shows a relatively symmetrical distribution, consistent with the mean and median values.

Learn more about Boxplot from the given link :

https://brainly.com/question/28098703

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