Construct a frequency distribution table for the marks obtained by 30 students recorded below

Alama ya chini kabisa ni 6.
Alama ya juu kabisa ni 100.
Masafa = Alama ya juu kabisa - Alama ya chini kabisa

$$\text{Masafa} = 100 - 6 = 94$$

Tunatumia kanuni ya Sturges, $k = 1 + 3.322 \log_{10}(n)$, ambapo $n$ ni idadi ya alama (27).

$$k = 1 + 3.322 \log_{10}(27)$$ $$k \approx 1 + 3.322 \times 1.431$$ $$k \approx 1 + 4.754$$ $$k \approx 5.754$$

Tunaweza kuchagua madarasa 6 au 7. Tutatumia madarasa 7 kwa usambazaji mzuri.

Upana wa darasa $w = \frac{\text{Masafa}}{\text{Idadi ya madarasa}}$

$$w = \frac{94}{7} \approx 13.42$$

Tutazungusha hadi nambari rahisi na inayofaa, kwa mfano, 15.

Tutaanza darasa la kwanza chini ya alama ya chini kabisa (6) na upana wa 15.

Jedwali la Usambazaji wa Marudio:

Vipindi vya Madarasa (Marks)	Tally	Marudio (Frequency)
0-14				2
15-29		0
30-44				2
45-59							6
60-74							6
75-89							6
90-104						5
Jumla		27

Hivyo, jedwali la usambazaji wa marudio ni:

$$\boxed{ \begin{array}{|c|c|c|} \hline \textbf{Vipindi vya Madarasa (Marks)} & \textbf{Tally} & \textbf{Marudio (Frequency)} \\ \hline 0-14 & || & 2 \\ 15-29 & & 0 \\ 30-44 & || & 2 \\ 45-59 & |||| \text{ |} & 6 \\ 60-74 & |||| \text{ |} & 6 \\ 75-89 & |||| \text{ |} & 6 \\ 90-104 & |||| & 5 \\ \hline \textbf{Jumla} & & \textbf{27} \\ \hline \end{array} }$$