İSTATİSTİK I

Central tendency is defined as “the tendency of data to cluster around some random variable value”. The position of the central value is measured by using central tendency measures such as arithmetic mean, median and mode. There are several names used to refer to central tendency in statistics such as “center of the distribution”, “central location”, “representative values”, “central position”, or “measures of location”.

The most repeated value is 4, therefore the mode is 4.

The highest frequency (18) is observed for 45, therefore mode is 45.

If a data set has more than one mode, it refers to a multimodal distribution, indicating the frequencies of several observations with the similar highest frequencies. Specifically, when two values have the highest frequency in the data as in 1, 2, 2, 3, 4, 4, 5, 6, it is called as bimodal (2 and 4) distribution.

The data is already ordered. There are 10 observations:

(10+1)/2 = 5.5

so the median is the arithmetic mean of 5th and 6th observations:

median =(5 +6)/2=5.5

mean = total / n

mean = 73 / 10

mean = 7.3

'Mean' refers to the average of a set of numbers in the data. The correct answer is C.

The median is the middle value of an ordered dataset. The correct answer is A.

The mode is the main centrality measure for nominal scales. The correct answer is A.

Mode is the most frequent value in the entire data. The correct answer is D.

The mode is 3 because it is the value that occurs most often. The correct answer is A.

10, 12, 14, 16, 22, 28, 48

16 is the middle value of the set. The correct answer is B.

150 + 95 + 35 + 42 + 110 + 60 = 492

                                        492/6= 82

The correct answer is D.

Median cannot be used for nominal data sets.

It is the middle value of an ordered data set and preferred when there are outliers and the distribution is skewed.

The correct answer is D.

The median can also be estimated by using ogive curve (cumulative frequency polygon). The correct answer is C.

In symmetric distributions like bell-shape and rectangular (or uniform)
ones, the mean and median are the same value. The correct answer is B.97