Question

Guinea pig survival times: Here are the survival times (in days) of 32 guinea pigs after they were injected with infectious bacteria in a medical experiment: 53 55 63 67 68 76 77 83 84 89 90 91 92 99 107 108 109 110 112 119 123 124 133 147 154 166 172 184 208 221 259 339 Make a sketch of a BOXPLOT from the data. Choose the option that best describes its LOCATION/CENTER. 50% of the Guinea pigs die under the mean age. The middle 50% of Guinea pigs survival times are within the IQR. 50% of the Guinea pigs die under the median age. The middle 50% of Guinea pigs survival times are within the range.

Answer 1

A boxplot of the guinea pig survival data displays the median as the center, which is where 50% of the data lies below and above that value. The IQR encompasses the middle 50% of guinea pig survival times.

Step-by-step explanation:

To create a boxplot from the guinea pig survival times data provided, you would need to calculate the following statistics: the minimum, lower quartile (Q1), median (also known as the second quartile, or Q2), upper quartile (Q3), and the maximum of the dataset. The boxplot consists of a 'box' drawn from Q1 to Q3 with a line inside the box at the median value. 'Whiskers' extend from the box to the smallest and largest values that are not outliers. The Interquartile Range (IQR) is the range of the middle 50% of data, from Q1 to Q3.

As for the center of the data, it is typically represented by the median. This is the value where 50% of the data lies below and 50% lies above. Therefore, the statement 'The middle 50% of Guinea pigs survival times are within the IQR' is accurate, and '50% of the Guinea pigs die under the median age' correctly describes the data's location/center.Final answer:

A boxplot of the guinea pig survival data displays the median as the center, which is where 50% of the data lies below and above that value. The IQR encompasses the middle 50% of guinea pig survival times.

Step-by-step explanation:

To create a boxplot from the guinea pig survival times data provided, you would need to calculate the following statistics: the minimum, lower quartile (Q1), median (also known as the second quartile, or Q2), upper quartile (Q3), and the maximum of the dataset. The boxplot consists of a 'box' drawn from Q1 to Q3 with a line inside the box at the median value. 'Whiskers' extend from the box to the smallest and largest values that are not outliers. The Interquartile Range (IQR) is the range of the middle 50% of data, from Q1 to Q3.

As for the center of the data, it is typically represented by the median. This is the value where 50% of the data lies below and 50% lies above. Therefore, the statement 'The middle 50% of Guinea pigs survival times are within the IQR' is accurate, and '50% of the Guinea pigs die under the median age' correctly describes the data's location/center.