Answer:
Step-by-step explanation:
a) Mean the sum total of the given variables divided by the sample size given.
Mean = (Σx)/N
Σx = 1550 +1650 +1600 +1650 +1500 +1200 +1650+ 1800+ 1200 +1050 +1650+ 1850
Σx = 18,350
N = 12
Mean = 18,350/12
Mean = 1529.17
b) Median is the data at the middle if the given dataset after rearrangement. Arrangement can either be in ascending or descending order.
Rearranging the dataset in ascending order of magnitude.
1050 1200 1200 1500 1550 (1600 1650) 1650 1650 1650 1800 1850
It is seen that two values 1600 and 1650 are values that falls in the middle, hence we will take their average.
Median = 1600+1650/2
Median = 1625
c) Mode is the value in the dataset that occur the most i.e value with the highest frequency. According to the data only 1650 occurs 4 times, hence the mode of the data is 1650.
d) Midrange of the data is the average of the highest values and the Lowest value.
Midrange = Maximum value+Minimum value/2
Max value = 1850
Min value = 1050
Midrange = 1850+1050/2
Midrange = 2900/2
Midrange = 1450
4) No, the resulting statistics are not representative of the population of all TVs that are 60 inches and larger because it is given that the dataset provided is for the selling prices of TVs that are 60 inches or larger and rated as a "best buy" by a popular magazine, therefore we can conclude that, the dataset is representative of the best type of TVs that are 60 inches and larger and not all the sets of TVs
- The measure of dispersion relevant is the STANDARD DEVIATION other than the measures of central tendencies above because it shows how the selling prices of the different best TVs varies especially that of variation from the mean.
