An animal shelter recorded the weight of each of the 43 large breed dogs admitted last week. The smallest weight was 20 kg, and the largest was 27kg. The table gives the mean, median, range, and interquartile range (IQR) of the data set. SUMMARY VALUES Mean Median Range IQR 23.5 23.5 7 1
An animal shelter recorded the weight of each of the 43 large breed dogs admitted last week. The smallest weight was 20 kg, and the largest was 27kg. The table gives the mean, median, range, and interquartile range (IQR) of the data set. SUMMARY VALUES Mean Median Range IQR 23.5 23.5 7 1
An animal shelter recorded the weight of each of the 43 large breed dogs admitted last week. The smallest weight was 20 kg, and the largest was 27kg. The table gives the mean, median, range, and interquartile range (IQR) of the data set. SUMMARY VALUES Mean Median Range IQR 23.5 23.5 7 1
An animal shelter recorded the weight of each of the 43 large breed dogs admitted last week. The smallest weight was 20 kg, and the largest was 27kg. The table gives the mean, median, range, and interquartile range (IQR) of the data set.
SUMMARY VALUES
Mean
Median
Range
IQR
23.5
23.5
7
1
Transcribed Image Text:(c) Select the graph with the shape that best fits the summary values.
O Graph 1 (The data set is not symmetric.)
OGraph 2 (The data set is symmetric.)
20
21
22
23
24
20 21
22
23
24
25
26
27
dog weight
dog weight
Number of dogs
Transcribed Image Text:(a) Select the best description of center for the data set.
(b) Select the best description of spread for the data set.
OThe "average" dog (in kg) was about 60, which is the
number of dogs admitted.
Owe can tell by the number of dogs admitted that the
middle half of the data set is 60 units wide.
OThe "average" dog (in kg) was about 23 or 24, based on
Owe can tell by the mean that the middle half of the data
the mean and median.
set is 23.5 units wide.
OThe "average" dog (in kg) was about 1 to 7, based on
the IQR and range.
Owe can tell by the IQR that the middle half of the data
set is 1 unit wide.
Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.
Expert Solution
Step 1
The histogram is a plot which is used to depict the distribution of data with frequency on vertical axis and variable on horizontal axis.
By observing the histogram, one can tell whether the data is skewed or symmetric. If the left tail is longer than the right tail then the distribution is left skewed, if the right tail is longer than the left tail then the distribution is right skewed and if both the tails are approximately equal then the distribution is symmetric.
Generally, for symmetric distribution , for right skewed distribution and for left skewed distribution .
