Question

Listed below are amounts of strontium-90 (in millibecquerels, or mBq) in a simple random sample of baby teeth obtained from residents in a region born after 1979. 121 122 125 130 133 135 135 137 140 142 146 148 149 150 151 156 158 158 160 165 Identify each of the following. On your work submission, be sure to use the correct variable notations when necessary.

a) 5-number summary Min mBa First Quartile mBg Median mBg Third Quartile mBa Max mBa b) Create a boxplot to represent the data. Be sure to use a straight edge for the number line below the plot and label that parts/values on the boxplot. c) Determine each of the following: The IQR is (Type your answer as an integer or decimal as needed) To be an outlier, the amounts of strontium-90 must be less than or equal to mBq or greater than or equal to mBq. (Type your answer as an integer or decimal as needed) Are there any outliers? (Type "yes/no")

Answer 1

For the strontium-90 data, the 5-number summary is Min=121 mBq, Q1=135 mBq, Median=148 mBq, Q3=158 mBq, and Max=165 mBq. The IQR is 23 mBq, with no outliers present in the data. A boxplot would visually represent this summary and display the distribution of strontium-90 amounts.

Step-by-step explanation:

To answer the student's question about the strontium-90 data, we must first organize the data and compute the desired statistical measures:

• Minimum (Min)
• First Quartile (Q1)
• Median (Q2 or second quartile)
• Third Quartile (Q3)
• Maximum (Max)

The 5-number summary for the given data is as follows:

1. Min = 121 mBq
2. Q1 = 135 mBq
3. Median = 148 mBq
4. Q3 = 158 mBq
5. Max = 165 mBq

The interquartile range (IQR) is calculated as Q3 - Q1, which equals 158 - 135 = 23 mBq.

To find out if there are any outliers, we calculate the following:

1. Lower Bound = Q1 - 1.5*IQR = 135 - 1.5*23 = 100.5 mBq
2. Upper Bound = Q3 + 1.5*IQR = 158 + 1.5*23 = 192.5 mBq

Since all sample values are within the bounds of 100.5 mBq and 192.5 mBq, there are no outliers in this data set.

Creating a boxplot would involve drawing a scale and marking the numbers from the 5-number summary, with a box from Q1 to Q3, and lines (whiskers) extending to the Min and Max values.