Homework SourseThe paper gave information on sodium content for various typ
The paper gave information on sodium content for various types of foods. Twenty-six tomato catsups were analyzed. Data consistent with summary quantities given in the paper are shown in the table. Compute the values of the quartiles and the interquartile range.
| Sodium content (mg/kg) | |||||
| 12,142 | 10,426 | 10,912 | 9116 | 13,226 | 11,663 |
| 11,781 | 10,680 | 8457 | 10,788 | 12,605 | 10,591 |
| 11,040 | 10,815 | 12,962 | 11,644 | 10,047 | 10,478 |
| 10,108 | 12,353 | 11,778 | 11,092 | 11,673 | 8758 |
| 11,145 | 11,495 |
Solution
Ordering the data,
8457
8758
9116
10047
10108
10426
10478
10591
10680
10788
10815
10912
11040
11092
11145
11495
11644
11663
11673
11778
11781
12142
12353
12605
12962
13226
Thus,
Q3 = median of upper half = 11778
Q1 = median of lower half = 10478
IQR = Q3 - Q1 = 1300
