Question

12.
Compute arithmetic mean, median and mode for the following data and interpret the results.
అంకమధ్యమము, మధ్యగతము మరియు బహుళకములు క్రింది దత్తాంశాలకు గుణించి, ఫలితమును వ్యాఖ్యానించుము.
X=64,63,62,61,60,59
(Frequency)
పౌనఃపున్యం,F=8,18,12,9,7,6​

Answer 1

Answer:

Hey mate here's your answer.

Answer 2

The arithmetic mean, median and mode for the following data  is as follows.

Given data,

X = xi =  64,    63,     62,    61,       60,      59

F = fi =    8,      18,      12,     9,         7,       6​

xi × fi =  512,   1134,   744,   549,    420,   354

∑ fi = 60

∑ xi × fi  = 3713

Mean = ∑ xi × fi  / ∑ fi  = 3713 / 60

∴ Mean = 61.88

In the given table, xi = 63 has maximum frequency of fi = 18.

Therefore the mode is given by,

∴ Mode = 63

We use the formula to calculate the median, given by,

3 × Median = Mode + 2 × Mean

3 × Median = 63 + 2 × 61.88

3 × Median = 186.76

Median = 186.76/3

∴ Median = 62.25