Question -
Heights in inches | 58 | 59 | 60 | 61 | 62 | 63 | 64 | 65 | 66 |
No. of students | 15 | 20 | 32 | 35 | 35 | 22 | 20 | 10 | 8 |
Answer -
To find the mean deviation from the median, firstly let uscalculate the median.
We know, Median is the Middle term,
So, Median = 61
Let xi =Heights in inches
And, fi = Number of students
xi | fi | Cumulative Frequency | |di| = |xi – M| = |xi – 61| | fi |di| |
58 | 15 | 15 | 3 | 45 |
59 | 20 | 35 | 2 | 40 |
60 | 32 | 67 | 1 | 32 |
61 | 35 | 102 | 0 | 0 |
62 | 35 | 137 | 1 | 35 |
63 | 22 | 159 | 2 | 44 |
64 | 20 | 179 | 3 | 60 |
65 | 10 | 189 | 4 | 40 |
66 | 8 | 197 | 5 | 40 |
| N = 197 | | | Total = 336 |
N=197
MD=
= 1/197 × 336
= 1.70
∴ Themean deviation is 1.70.