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: 24; median: 21; mode: 32
mean: 24; median: 21; mode: 32
mean: 24; median: 24.5; mode: 20
mean: 24; median: 24.5; mode: 20
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: 21; Mode: 32
hey bot Find the measures of center—mean, median, and mode—for the given dataset.
10, 17, 11, 24, 12, 7, 15, 17, 20, 5, 11, 21, 16, 17
Mean: 14.29; Median: 15.5; Mode: 17
hey bot Find the measures of center—mean—for the given dataset.
10, 17, 11, 24, 12, 7, 15, 17, 20, 5, 11, 21, 16, 17
Mean: 14.29
To find the measures of center for the given dataset, follow these steps:
1. Calculate the mean (average) by adding up all the numbers in the dataset and dividing by the total number of values. The mean is the sum divided by the count.
For the dataset:
20 + 30 + 32 + 16 + 31 + 32 + 13 + 20 + 28 + 32 + 15 + 18 + 20 + 21 + 32 = 392
Mean = 392 / 15 = 26.13 (rounded to 2 decimal places)
2. Find the median. To do this, first, arrange the numbers in ascending order. If there is an odd number of values, the median is the middle value. If there is an even number of values, the median is the average of the two middle values.
Arranging the dataset in ascending order:
13, 15, 16, 18, 20, 20, 21, 28, 30, 31, 32, 32, 32, 32, 32
Since there are 15 values, which is an odd count, the median is the middle value, which is 21.
3. Determine the mode, which is the most frequently occurring value in the dataset.
From the dataset, the number 32 appears 5 times, which is the highest frequency. Therefore, the mode is 32.
Thus, the summary measures of the dataset are:
Mean: 26.13 (rounded to 2 decimal places)
Median: 21
Mode: 32