Question

What is the mode of this distribution?
bottom row:21,24,27,30,33,36,39,42,45,48
side column:2,2,4,8,12,16,16,18,16,14

45
45

42
42

38
38

30

Answer 1

To find the mode of the given distribution, we look for the values that appear most frequently.

1. Your data consists of:
- Bottom row (x-values): 21, 24, 27, 30, 33, 36, 39, 42, 45, 48
- Side column (frequencies): 2, 2, 4, 8, 12, 16, 16, 18, 16, 14

2. Next, we align the frequencies with corresponding x-values:
- 21: 2
- 24: 2
- 27: 4
- 30: 8
- 33: 12
- 36: 16
- 39: 16
- 42: 18
- 45: 16
- 48: 14

3. We identify the highest frequency:
- The frequency of 42 is 18, which is the highest frequency in the dataset.

4. Therefore, the mode of this distribution is **42**, as it occurs most frequently (18 times).