Question

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

Answer 1

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

What is Mean?

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

Learn more about Central Tendency from:

brainly.com/question/13606190

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