| Class interval | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 | 70-80 | 80-90 | 90-100 |
| Frequency | 3 | 2 | 4 | 6 | 5 | 5 | 5 | 2 | 8 | 5 |
| Class marks | Mid value $\left(x_i\right)$ | $d _{ i }= x _{ i }- a$ $= x _{ i }=45$Z | $f _{ i }$ | $f _{ i } d _{ i }$ | $d_i^2$ | $f _{ i } d_i^2$ |
| 0-10 | 5 | -40 | 3 | -120 | 1600 | 4800 |
| 10-20 | 15 | -30 | 2 | -60 | 900 | 1800 |
| 20-30 | 25 | -20 | 4 | -80 | 400 | 1600 |
| 30-40 | 35 | -10 | 6 | -60 | 100 | 800 |
| 40-50 | 45 | 0 | 5 | 0 | 0 | 0 |
| 50-60 | 55 | 10 | 5 | 50 | 100 | 500 |
| 60-70 | 65 | 20 | 5 | 100 | 400 | 2000 |
| 70-80 | 75 | 30 | 2 | 60 | 900 | 1800 |
| 80-90 | 85 | 40 | 8 | 320 | 1600 | 12800 |
| 90-100 | 95 | 50 | 5 | 250 | 2500 | 12500 |
| $\sum f _{ i }=45$ | $\sum f _{ i } d _{ i }=460$ | $\sum f _{ i } d_i^2=38400$ |
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