Concept explainers
To find:The range, interquartile range and any outliers.
Answer to Problem 22SR
The range (Maximum score-minimum score) is 29.
IQR is: 11.5.
Explanation of Solution
Given:
This is the given information:
One stem and leaf plot of number of calories found in a yogurt is given. It is required to know the range, inter-quartile range or any outlier.
The data values are ordered in a stem and leaf plot. The stems are the greatest place values of the data. Thus, the stems are ordered as 4,5 and 6. The one's digit are placed to the right of the corresponding stems in the leaf column. The leaves are ordered from least to greatest. The minimum calories is 40 and the maximum calorie is 69. Therefore, the range (Maximum score-minimum score) is 29: There are 12 values. Therefore, the median is the average of 6th and 7th value. Thus, the median is: 57. The middle point of the upper half of the data (above median) represent the lower quartile and middle point of the lower half of the data (below median) represent the upper quartile. Therefore, the lower quartile is: 51 and upper quartile is: 62.5. inter-quartile range refer to the difference between the upper and lower quartile. Therefore, IQR is: 11.5.
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