Final answer:
This question is about applying statistical concepts like mean, median, mode, and measures of spread such as range, standard deviation, and variance to analyze datasets. It involves calculation and interpretation of these statistics to understand the central tendency and spread of data from apple prices and house values, as well as computer pricing.
Step-by-step explanation:
The question involves analyzing a dataset of prices for apples at two stores near your house and houses' values on a block for various statistical measures like mean, median, mode, and measures of spread such as range, standard deviation, and variance. Additionally, the question covers concepts like symmetrical distribution and skewness in relation to these measures.
For example, when given the dataset 10; 11; 15; 15; 17; 22, you first order the numbers to find the median and mode. The median is the middle value when the numbers are listed in order, and the mode is the number that appears most frequently. In this dataset, the median would be (15+15)/2, which is 15, and the mode is also 15 as it appears twice. Then, you calculate the mean by adding all numbers and dividing by the total count, and find the standard deviation using the sample formula, which measures the spread of the data. Two standard deviations above the mean is the mean plus two times the standard deviation. You follow similar steps to analyze data for houses' values and compare the mean and median, taking note of the skewness and interpreting which measure better reflects the central tendency of the data.
Additionally, when considering the computer's price, you would calculate the sample mean and standard deviation from the given prices and compare these to the theoretical values claimed by the sales representative, taking into account significance levels.