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:
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