Complete the table in your scratch paper and answer the following question below.

11. What is the total frequency of the data in the table?

A. 50
B. 56
C. 30
D. 20

12. What is the total fx of the data in the table?

A. 1000
B. 1717
C. 1789
D. 2000

14. What is the midpoint of the scores 45-49 of the data in the table?

A. 27
B. 47
C. 45
D. 49

15. What is the mean of the data in the table?

A. A27.3
B. 28.4
C. 45.1
D. 30.7

16. What is the median of the data in the table?

A. 31.3
B. 28.4
C. 45.1
D. 30.7

17. What is the mode of the data in the table?

A. 31.3
B. 32.5
C. 45.1
D. 40.3

A measure of central tendency (also referred to as measures of centre or central location) is a summary measure that attempts to describe a whole set of data with a single value that represents the middle or centre of its distribution.

Here, total frequency ∑f = 5+7+9+11+8+7+5+4

= 56 (option B)

Total fx or ∑fx = 12X4 + 17X5 + 22X7 + 27X8 + 32X11 + 37X9 + 42X7+ 47X5

= 48 + 85 + 154 + 216 + 352 + 333 + 294 + 235

= 1717 (option B)

The midpoint of the score 45-49 = (45 + 49)/2

= 47 (option B)

Mean of the data = ∑fx/ ∑f

= 1717 / 56

= 30.7 (option D)

Median of the data = 31.3 (option A)

Mode of the data = 32.5 (option B)

Thus, Total frequency = 56.

Total fx = 1717

midpoint of 45-49 = 47

Mean of the data = 30.7

Median of the data = 31.3

Mode of the data = 32.5

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