Business Maths Statistics Assignment 1

a. Create histograms to gain a clearer understanding of the distributions of annual base salaries and

5. Give the standard deviation for the mean and median column. Compare these and be sure to identify which has the least variability?

6. When do the mean and median have the same value? 7. Describe the relationship between variance and standard deviation.

The median is basically the middle score for a set of data that has been arranged in order of extent. The median is less affected by outliers and twisted data

Gender in the local area is relatively equal in terms of numbers and percentiles. With females bringing in the highest portion of the population and males closely behind. (see Table 2) This goes right along with a relatively even gender ratio overall. This starts to differ within the median age groups where males are the majority. After age 44 females take over and become the larger gender in every respective age group. Even with females making up most the population, in almost every age category males make more money in every race. (city-data, 2000-2015)

5. The standard deviations of the groups are different between these two data sets. This implies that both girls and the boys groups have a large variability in their data. The reason is that the standard deviation for boys is 5.9 and the standard deviation for girls is 5.0. This means the data has a wide range of data within the mean.

Suppose you want to show the changes in the unemployment rate in the United States during 2000–2008. The most appropriate chart you would use will be a

Making sense of the position of the mean and median in skewed, symmetric and bimodal displays to describe and interpret data.

In the assisted living at Fair Haven Retirement Center there is a mix of residents who are Africans Americans and Caucasians. The majority of the residents within assisted living are Caucasians. There are more females than males within assisted living. Throughout the assisted living there is no other race that resides within that department other African Americans and Caucasians. On page 13 you will see two separate pie charts that will show the customer mix of how males and females residents that there are in the assisted living. Also you see another pie chart that will show the percentage of how many African Americans and Caucasians that there

versus women with a SD 13.63. This shows that women had less variation in their

In a sample of 151 of participants (N=151), 109 participants (N=109) identify themselves as female while only 42 participants (N=42) were self-identify as male. In other words, females are embodied by the 72.7 percent of the population while male exemplify only the 27.8 percent of such population. Even though there was a significant difference, it does not affect the validity of the test, because both sexes were able to perform the test with equal opportunity. Later in this manual the reader can find that there were not gender bias founded on the test. By the contrary, the gender gap, which was founded into this test participants, only reflect a high education nationwide phenomenon, which is the gender gap in college students. As Alon and Gelbgiser (2011) explains, after the expansion of the higher education system, which took place in the 70s, started occurring many dramatic changes in the system. As a result of these changes, in the academic year 2004-2005, females incorporated the majority of student who received an undergraduate degree. To be exact, the 57 percent of bachelor degree recipients were females, according with the report of the US department of Education, 2005b (Alon and Gelbgiser,

Based on the chart, the mean was calculated by adding up the sum of the list and divide 18, which the number of the total listed prices. The mean is 135,000, which mean the average of the listed price. Secondly, the median was calculated by listing the number in numerical order from lowest to highest and located the number in the middle 126,000. The median represents the middle number of the listed price. After calculating the median I located the minimum and maximum based the lowest and highest data, which are 48,000 and 338,000. These represent the range of the listed price. Lastly, I used the formula to get the

Both histograms are unimodal (have one mode). As the mean of hours of TV viewed per week is (30.438) which is to the right of the median (30), this indicates a positive skewness. For household debt, the mean (126471.342) is to the left of the median (127318), which indicates a negative skewness.

INTERPRETATIONS:- The proportion of respondents are somewhat equal with not much of the major difference between male and female respondents

1. Individuals : Within the individual customers the sex wise percentage will be given as under