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Mathematics

Find the actual lower class limits, upper class limits and the mid-values of the classes :

10-19, 20-29, 30-39 and 40-49.

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Answer

Class limitExclusive class limit
10 - 199.5 - 19.5
20 - 2919.5 - 29.5
30 - 3929.5 - 39.5
40 - 4939.5 - 49.5

In case of frequency 10-19 the lower class limit is 9.5, the upper class limit is 19.5 and the mid value is

=9.5+19.52=292=14.5= \dfrac{9.5 + 19.5}{2} \\[1em] = \dfrac{29}{2} \\[1em] = 14.5

In case of frequency 20-29 the lower class limit is 19.5, the upper class limit is 29.5 and the mid value is

=19.5+29.52=492=24.5= \dfrac{19.5 + 29.5}{2} \\[1em] = \dfrac{49}{2} \\[1em] = 24.5

In case of frequency 30-39 the lower class limit is 29.5, the upper class limit is 39.5 and the mid value is

=29.5+39.52=692=34.5= \dfrac{29.5 + 39.5}{2} \\[1em] = \dfrac{69}{2} \\[1em] = 34.5

In case of frequency 40-49 the lower class limit is 39.5, the upper class limit is 49.5 and the mid value is

=39.5+49.52=892=44.5= \dfrac{39.5 + 49.5}{2} \\[1em] = \dfrac{89}{2} \\[1em] = 44.5

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