1. Based on the histogram and statistics, please describe the 1) shape, 2) cente
ID: 3063037 • Letter: 1
Question
1. Based on the histogram and statistics, please describe the 1) shape, 2) center, and 3) spread for the distributions of height and weight.
2. Are the shapes for the distributions of height and weight different? Why? In your explanation please refer to both the histograms with the normal curve and the appropriate statistic.
3. Can you calculate the mean for gender? Why or why not?
1. Please describe the pattern found in the boxplots for both height and weight (separately). How do the medians compare between males and females? Are males taller or heavier on average than female?
2. Looking at the boxplot again, determine if there is more variability for males or females with regard to both height and weight?
Case Summaries Participant ID Gender Height Weight 183.0 100.0 181.081.0 187.0 86.0 4.0 Female63.059.0 5.0 Female 42.052.0 6.0 Female 151.054.0 186.0 78.0 8.0 Female 160.061.0 9.0 Female 59.052.0 163.0 60.0 11.0 Female 152.0 53.0 12.0 Female 165.0 63.0 173.069.0 169.0 68.0 14 1.0 Male 2.0 Male 3.0 Male 2 4 7.0 Male 10 10.0 Male 12 13 14 Total N a. Limited to first 100 cases 13.0 Male 14.0 Male 14 14 14 2: Create a table of Descriptive Statistics for height and weight using default options. Go to ANALYZE- >DESCRIPTIVE STATISTICS DESCRIPTIVES. You can put in both variables at the same time Save the output in the same file as the case summaries Descriptive Statistics Minimu Maximu Std Mean Deviation Height Weight Valid N istwise 14 142.0187.0 166.714 14 13.8865 14.5489 52.0 100.0 66.857 14Explanation / Answer
Q1.
i) The distribution of the height is negatively skewed while that of weight is positively skewed (not symmetric).
ii) The center of both the variable is Median. since mean mean is not located at the center of the data for skewed distribution.
iii) The spread of the Height is 13.89 and that of weight is 14.55.
Q2 the shapes for the distributions of height and weight different since the distribution of Height is negatively skewed while of weight it is positively skewed.
Q3 we can not compute the mean of Gender since Gender is the Nominal variable (Qualitative). Since we can not perform arithmatic operation on nominal data.
Q1
From the boxplot we say that the distribution of height and weight of male is negatively skewed. While the distribution of height of female is negatively skewed and that of weight is positively skewed.
From the Boxplot it is clear that male are heavier as well as taller than females.
Q2 With regards to the data The variability among the male is more than female for both height and weight.
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