Let's calculate the mean, median, and mode for the given dataset: 20, 30, 32, 16, 31, 32, 13, 20, 28, 32, 15, 18, 20, 21, 32.
1. **Mean**: The mean is the sum of all the numbers divided by the total number of numbers.
Sum of the numbers:
\[ 20 + 30 + 32 + 16 + 31 + 32 + 13 + 20 + 28 + 32 + 15 + 18 + 20 + 21 + 32 = 360 \]
Number of numbers:
\[ 15 \]
Mean:
\[ \frac{360}{15} = 24 \]
2. **Median**: The median is the middle number when the numbers are arranged in ascending order. If there is an even number of observations, the median is the average of the two middle numbers.
Arranging the data in ascending order:
\[ 13, 15, 16, 18, 20, 20, 20, 21, 28, 30, 31, 32, 32, 32, 32 \]
The middle number (8th number in the ordered list):
\[ 21 \]
Median:
\[ 21 \]
3. **Mode**: The mode is the number that appears most frequently in the dataset.
From the ordered list:
\[ 32 \] appears 4 times, which is more frequent than any other number.
Mode:
\[ 32 \]
Therefore, the measures of center for the dataset are:
- Mean: 24
- Median: 21
- Mode: 32
The correct response is:
\[ \text{mean: 24; median: 21; mode: 32} \]
Summarize the dataset by finding its measures of center—mean, median, and mode. 20, 30, 32, 16, 31, 32, 13, 20, 28, 32, 15, 18, 20, 21, 32 (1 point) Responses mean: 22.5; median: 21; mode: 20 mean: 22.5; median: 21; mode: 20 mean: 21; median: 24; mode: 32 mean: 21; median: 24; mode: 32 mean: 24; median: 24.5; mode: 20 mean: 24; median: 24.5; mode: 20 mean: 24; median: 21; mode: 32
1 answer
1 answer