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Kuna sehemu mbili za swali hili, zote zikiwa zimeandikwa (a). Tutazishughulikia zote mbili. Sehemu ya kwanza (a): Unda jedwali la masafa lililopangwa Ili kuunda jedwali la masafa lililopangwa, kwanza tunabainisha madaraja ya darasa kwa kutumia kikomo cha chini cha darasa cha 14.5 na upana wa darasa wa 5. Kwa kuwa data ni namba kamili, madaraja yatakuwa: Daraja la 1: 15 - 19 (kwa sababu 14.5 ni kikomo cha chini, na upana wa darasa ni 5, hivyo inajumuisha namba 15, 16, 17, 18, 19) Daraja la 2: 20 - 24 Daraja la 3: 25 - 29 Daraja la 4: 30 - 34 Daraja la 5: 35 - 39 Daraja la 6: 40 - 44 Daraja la 7: 45 - 49 Daraja la 8: 50 - 54 Daraja la 9: 55 - 59 Data ghafi iliyotolewa ni: 20, 25, 30, 35, 40, 45, 50, 55 22, 26, 31, 36, 41, 46, 51, 56 24, 28, 32, 38, 42, 48, 52, 58 25, 29, 33, 39, 43, 49, 53, 59 Sasa tunahesabu marudio kwa kila daraja la darasa: 15 - 19: Hakuna namba 20 - 24: 20, 22, 24 25 - 29: 25, 25, 26, 28, 29 30 - 34: 30, 31, 32, 33 35 - 39: 35, 36, 38, 39 40 - 44: 40, 41, 42, 43 45 - 49: 45, 46, 48, 49 50 - 54: 50, 51, 52, 53 55 - 59: 55, 56, 58, 59 Jedwali la masafa lililopangwa ni: |c|c| Daraja la Darasa & Marudio (f) \\ 15 - 19 & 0 \\ 20 - 24 & 3 \\ 25 - 29 & 5 \\ 30 - 34 & 4 \\ 35 - 39 & 4 \\ 40 - 44 & 4 \\ 45 - 49 & 4 \\ 50 - 54 & 4 \\ 55 - 59 & 4 \\ Jumla & 32 \\ Sehemu ya pili (a): Chora grafu ya masafa jumla (cumulative frequency graph) Ili kuchora grafu ya masafa jumla (ogive), kwanza tunahitaji kuhesabu masafa jumla na mipaka ya juu ya darasa kutoka kwa jedwali la masafa lililotolewa: |c|c|c|c| Misa (kg) & Marudio (f) & Kikomo cha Juu cha Darasa (UCB) & Masafa Jumla (CF) \\ 15 - 18 & 2 & 18.5 & 2 \\ 19 - 22 & 3 & 22.5 & 2 + 3 = 5 \\ 23 - 26 & 10 & 26.5 & 5 + 10 = 15 \\ 27 - 30 & 14 & 30.5 & 15 + 14 = 29 \\ 31 - 34 & 13 & 34.5 & 29 + 13 = 42 \\ 35 - 38 & 6 & 38.5 & 42 + 6 = 48 \\ 39 - 42 & 2 & 42.5 & 48 + 2 = 50 \\ Kisha, tunachora grafu kwa kupanga mipaka ya juu ya darasa (UCB) kwenye mhimili wa x na masafa jumla (CF) kwenye mhimili wa y. Anza grafu kutoka kikomo cha chini cha darasa la kwanza (14.5) na masafa jumla ya 0. Pointi za kupanga kwenye grafu ni: (14.5, 0), (18.5, 2), (22.5, 5), (26.5, 15), (30.5, 29), (34.5, 42), (38.5, 48), (42.5, 50) Unganisha pointi hizi kwa kutumia mstari laini ili kuunda grafu ya masafa jumla. Tuma swali linalofuata 📸