This example was previously posted, but how did we come up with a Q1 result of...

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Basic Math

This example was previously posted, but how did we come up witha Q1 result of 28.5 and a Q3 result of 123.3 for the questionbelow? I am wondering where I went wrong here, as the results tothis question have already been posted. The results I have are Q1of 29 and Q3 of 121 with a median of 69. I have IQR as 92 and foroutliers I have -109 for lower limit and 259 for upper limit. I amwondering how we came up with 28.5 for Q1 and 123.3 for Q3. Once Iunderstand this, then figuring out IQR and outlier limits makessense.
Hospital - Infections
1 89
2 58
3 96
4 206
5 31
6 16
7 249
8 79
9 29
10 6
11 222
12 108
13 58
14 54
15 81
16 64
17 9
18 130
19 37
20 121
21 27
22 6
23 95
24 7
25 18
26 37
27 140
28 74
29 134
30 184

Answer & Explanation Solved by verified expert

4.5 Ratings (953 Votes)

Arranging the data in ascending order we get 1 6 2 6 3 7 4 9 5 16 6 18 7 27 8 29 9 31 10 37 11 37 12 54 13 58 14 58 15 64 16 74 17 79 18 81 19 89 20 See Answer

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1	89
2	58
3	96
4	206
5	31
6	16
7	249
8	79
9	29
10	6
11	222
12	108
13	58
14	54
15	81
16	64
17	9
18	130
19	37
20	121
21	27
22	6
23	95
24	7
25	18
26	37
27	140
28	74
29	134
30	184

1	89
2	58
3	96
4	206
5	31
6	16
7	249
8	79
9	29
10	6
11	222
12	108
13	58
14	54
15	81
16	64
17	9
18	130
19	37
20	121
21	27
22	6
23	95
24	7
25	18
26	37
27	140
28	74
29	134
30	184