50%
z = ±0.44
In a normal distribution half (50%) of the distribution falls below (to the left of) the mean.
The answer will depend on what the distribution is. Non-statisticians often assum that the variable that they are interested in follows the Standard Normal distribution. This assumption must be justified. If that is the case then the answer is 81.9%
0.2533
50 * * * * * z = -0.67449 to z = +0.67449
25 percent
It depends whether or not the observations are independent and on the distribution of the variable that is being measured or the sample size. You cannot simply assume that the observations are independent and that the distribution is Gaussian (Normal).
Yes. The prefix "quart" is derived from the word for 4, so quartile always means splitting the data into 4 sections, ie. 25%, 50%, 75%, 100%.
In a dataset, the interquartile range (IQR), which is the range between the first quartile (Q1) and the third quartile (Q3), contains 50% of the data. This means that 25% of the data lies below Q1, 50% lies between Q1 and Q3, and another 25% lies above Q3. Therefore, the percentage of data that lies between Q1 and Q3 is 50%.
It depends on the underlying distribution.
the gender distribution is 77 percent men and 25 percent women
In a standard distribution, the first quartile (Q1) represents the 25th percentile of the data. This means that 25% of the data falls below Q1, and consequently, 75% of the data falls above Q1. Therefore, 75% of the data is above Q1.
Frequency refers to the count of occurrences for each category, while percent represents the proportion of each frequency relative to the total number of observations, expressed as a percentage. Valid percent excludes any missing or invalid responses, giving a clearer picture of the data that is actually analyzed. Cumulative percent sums the valid percentages progressively, showing the total percentage up to and including each category, which helps in understanding the distribution of responses.
z = 1.75
It is the value of the variable such that 40 percent of observations are smaller and 60 percent are larger.
150 feet
Rank them from highest to lowest. The lowest 25 percent of them represent the bottom quartile. Let's say you have the following data set: 1, 8, 2, 7, 3, 6, 4, 5 Rank them thus: 1, 2, 3, 4, 5, 6, 7, 8 Twenty-five percent of eight (the number of data points) is two. Therefore, the bottom two data points (1 and 2) represent the bottom quartile.