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

Kutokana na picha uliyotuma, nimekusanya alama zifuatazo. Ingawa swali linataja wanafunzi 30, alama 27 pekee ndizo zinaonekana wazi kwenye picha. Nitaunda jedwali la usambazaji wa marudio kwa kutumia alama hizi 27 zinazoonekana. Alama zilizopatikana (zikiwa zimepangwa): 6, 11, 39, 40, 45, 48, 50, 52, 55, 58, 60, 62, 65, 68, 70, 72, 75, 78, 80, 82, 85, 88, 90, 92, 95, 98, 100. Step 1: Pata masafa (range) ya data. Alama ya chini kabisa ni 6. Alama ya juu kabisa ni 100. Masafa = Alama ya juu kabisa - Alama ya chini kabisa Masafa = 100 - 6 = 94 Step 2: Amua idadi ya madarasa (number of classes). Tunatumia kanuni ya Sturges, k = 1 + 3.322 _10(n), ambapo n ni idadi ya alama (27). k = 1 + 3.322 _10(27) k ≈ 1 + 3.322 × 1.431 k ≈ 1 + 4.754 k ≈ 5.754 Tunaweza kuchagua madarasa 6 au 7. Tutatumia madarasa 7 kwa usambazaji mzuri. Step 3: Amua upana wa darasa (class width). Upana wa darasa w = MasafaIdadi ya madarasa w = (94)/(7) ≈ 13.42 Tutazungusha hadi nambari rahisi na inayofaa, kwa mfano, 15. Step 4: Unda vipindi vya madarasa na uhesabu marudio (frequencies). 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: |c|c|c| 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 \\ That's 3 down. 2 left today — send the next one.