Use the assumed-mean method to find the mean height of the plants from the following frequency-distribution table.
Height in cm (xi) | 61 | 64 | 67 | 70 | 73 |
No. of plants (fi) | 5 | 18 | 42 | 27 | 8 |
Let the assumed mean be A = 67
So, we arrange the given data as under :
Height (in cm) (xi) | No. of plants (fi) | =di = xi - A | = di × fi |
61 | 5 | -6 | -30 |
64 | 18 | -3 | -54 |
67 | 42 | 0 | 0 |
70 | 27 | 3 | 81 |
73 | 8 | 6 | 48 |
∑fi = 100 | ∑xifi = 45 |
We know,
Mean =
Hence, The mean height of the plants = 67.45 cm.