Answer :
Final answer:
Pren's data set arranged in ascending order gives a range of 119, a lower quartile (Q1) of 200, and an upper quartile (Q3) of 218.
Explanation:
Calculating Range, Lower Quartile, and Upper Quartile
To calculate the range, lower quartile (Q1), and upper quartile (Q3) of a data set, we first need to arrange the data in ascending order. After ordering, the range is the difference between the largest and smallest values. The lower quartile (Q1) is the median of the lower half of the data, and the upper quartile (Q3) is the median of the upper half of the data.
Consider Pren's data set, which is already in ascending order: 111, 199, 200, 204, 210, 211, 216, 218, 224, 230. The range is 230 - 111 = 119. To find Q1, we look at the lower half of the data (excluding the median if there is an odd number of data points). In this case, the lower half is 111, 199, 200, 204, 210, and the median of this set is 200. Similarly, for Q3, we take the upper half: 211, 216, 218, 224, 230, with a median of 218.
Therefore:
Range: 119
Lower Quartile (Q1): 200
Upper Quartile (Q3): 218
