2025年統(tǒng)計學(xué)期末考試題庫：統(tǒng)計軟件應(yīng)用與數(shù)據(jù)安全試題考試時間：______分鐘總分：______分姓名：______一、選擇題（每題2分，共20分）1.下列關(guān)于統(tǒng)計軟件的描述，正確的是：A.統(tǒng)計軟件只能用于數(shù)據(jù)分析和處理B.統(tǒng)計軟件只能用于數(shù)據(jù)可視化C.統(tǒng)計軟件可以用于數(shù)據(jù)收集、處理、分析和可視化D.統(tǒng)計軟件只能用于數(shù)據(jù)收集2.在使用統(tǒng)計軟件進(jìn)行數(shù)據(jù)清洗時，以下哪種方法可以有效地去除重復(fù)記錄？A.使用“去重”功能B.使用“排序”功能C.使用“篩選”功能D.使用“計算”功能3.下列哪種統(tǒng)計軟件支持中文界面？A.SPSSB.SASC.RD.Python4.在統(tǒng)計軟件中，如何創(chuàng)建一個新的數(shù)據(jù)文件？A.選擇“文件”菜單中的“新建”選項(xiàng)B.選擇“文件”菜單中的“打開”選項(xiàng)C.選擇“數(shù)據(jù)”菜單中的“導(dǎo)入”選項(xiàng)D.選擇“工具”菜單中的“新建”選項(xiàng)5.在SPSS中，如何計算一組數(shù)據(jù)的均值？A.選擇“分析”菜單中的“描述統(tǒng)計”選項(xiàng)B.選擇“分析”菜單中的“轉(zhuǎn)換”選項(xiàng)C.選擇“分析”菜單中的“統(tǒng)計”選項(xiàng)D.選擇“數(shù)據(jù)”菜單中的“計算”選項(xiàng)6.下列關(guān)于數(shù)據(jù)安全的說法，正確的是：A.數(shù)據(jù)安全只涉及數(shù)據(jù)存儲的安全性B.數(shù)據(jù)安全只涉及數(shù)據(jù)傳輸?shù)陌踩訡.數(shù)據(jù)安全既涉及數(shù)據(jù)存儲的安全性，也涉及數(shù)據(jù)傳輸?shù)陌踩訢.數(shù)據(jù)安全只涉及數(shù)據(jù)加密的安全性7.在使用統(tǒng)計軟件進(jìn)行數(shù)據(jù)傳輸時，以下哪種加密方式最常用？A.AES加密B.RSA加密C.DES加密D.3DES加密8.在統(tǒng)計軟件中，如何設(shè)置數(shù)據(jù)安全密碼？A.選擇“文件”菜單中的“密碼”選項(xiàng)B.選擇“工具”菜單中的“選項(xiàng)”選項(xiàng)C.選擇“數(shù)據(jù)”菜單中的“安全”選項(xiàng)D.選擇“工具”菜單中的“密碼”選項(xiàng)9.下列關(guān)于數(shù)據(jù)備份的說法，正確的是：A.數(shù)據(jù)備份是指將數(shù)據(jù)從原存儲設(shè)備轉(zhuǎn)移到其他存儲設(shè)備上B.數(shù)據(jù)備份是指將數(shù)據(jù)從原存儲設(shè)備轉(zhuǎn)移到云服務(wù)器上C.數(shù)據(jù)備份是指將數(shù)據(jù)從原存儲設(shè)備轉(zhuǎn)移到其他存儲設(shè)備上，并加密存儲D.數(shù)據(jù)備份是指將數(shù)據(jù)從原存儲設(shè)備轉(zhuǎn)移到云服務(wù)器上，并加密存儲10.在統(tǒng)計軟件中，如何進(jìn)行數(shù)據(jù)備份？A.選擇“文件”菜單中的“保存”選項(xiàng)B.選擇“文件”菜單中的“另存為”選項(xiàng)C.選擇“工具”菜單中的“備份”選項(xiàng)D.選擇“數(shù)據(jù)”菜單中的“備份”選項(xiàng)二、填空題（每空2分，共20分）1.統(tǒng)計軟件主要用于_______、_______、_______和_______。2.數(shù)據(jù)清洗的目的是_______、_______、_______和_______。3.在SPSS中，_______菜單用于創(chuàng)建新數(shù)據(jù)文件。4.數(shù)據(jù)安全主要涉及_______安全、_______安全和_______安全。5.在使用統(tǒng)計軟件進(jìn)行數(shù)據(jù)傳輸時，AES加密是最常用的_______加密方式。6.在統(tǒng)計軟件中，設(shè)置數(shù)據(jù)安全密碼的方法是_______。7.數(shù)據(jù)備份是指將數(shù)據(jù)從原存儲設(shè)備轉(zhuǎn)移到_______上。8.在統(tǒng)計軟件中，進(jìn)行數(shù)據(jù)備份的方法是_______。三、簡答題（每題10分，共30分）1.簡述統(tǒng)計軟件在數(shù)據(jù)收集、處理、分析和可視化方面的作用。2.簡述數(shù)據(jù)清洗的目的和常用方法。3.簡述數(shù)據(jù)安全的重要性以及數(shù)據(jù)安全的主要方面。4.簡述數(shù)據(jù)備份的意義和常用方法。四、計算題（每題10分，共20分）1.已知某班級有30名學(xué)生，他們的年齡分布如下：年齡（歲）|人數(shù)-------------|-----10|411|612|813|514|7請計算：（1）平均年齡；（2）年齡的中位數(shù)；（3）年齡的眾數(shù)。2.某公司對100名員工進(jìn)行了滿意度調(diào)查，調(diào)查結(jié)果如下：滿意度等級|人數(shù)------------|-----非常滿意|20滿意|30一般|40不滿意|10請計算：（1）滿意度平均等級；（2）滿意度的中位數(shù)；（3）滿意度等級的眾數(shù)。五、論述題（10分）論述數(shù)據(jù)安全在統(tǒng)計學(xué)研究中的重要性，并結(jié)合實(shí)際案例說明如何確保數(shù)據(jù)安全。六、應(yīng)用題（10分）某市對居民收入進(jìn)行調(diào)查，收集了100戶家庭的年收入數(shù)據(jù)，數(shù)據(jù)如下（單位：萬元）：15,20,18,22,19,16,21,17,23,24,25,18,22,19,16,17,20,21,24,25,18,23,20,19,17,16,21,22,18,25,19,16,17,24,20,22,18,21,17,16,19,24,23,20,25,22,18,19,17,16,21,24,18,25,20,22,17,16,19,23,18,20,21,24,25,17,16,18,19,21,17,16,20,23,18,19,16,17,24,18,21,25,22,18,19,17,16,21,24,18,20,22,18,19,17,16,20,21,24,25,18,22,19,17,16,19,24,18,25,20,22,17,16,21,24,18,19,16,17,24,18,21,25,22,18,19,17,16,21,24,18,20,22,18,19,17,16,20,21,24,25,18,22,19,17,16,19,24,18,25,20,22,17,16,21,24,18,19,16,17,24,18,21,25,22,18,19,17,16,21,24,18,20,22,18,19,17,16,20,21,24,25,18,22,19,17,16,19,24,18,25,20,22,17,16,21,24,18,19,16,17,24,18,21,25,22,18,19,17,16,21,24,18,20,22,18,19,17,16,20,21,24,25,18,22,19,17,16,19,24,18,25,20,22,17,16,21,24,18,19,16,17,24,18,21,25,22,18,19,17,16,21,24,18,20,22,18,19,17,16,20,21,24,25,18,22,19,17,16,19,24,18,25,20,22,17,16,21,24,18,19,16,17,24,18,21,25,22,18,19,17,16,21,24,18,20,22,18,19,17,16,20,21,24,25,18,22,19,17,16,19,24,18,25,20,22,17,16,21,24,18,19,16,17,24,18,21,25,22,18,19,17,16,21,24,18,20,22,18,19,17,16,20,21,24,25,18,22,19,17,16,19,24,18,25,20,22,17,16,21,24,18,19,16,17,24,18,21,25,22,18,19,17,16,21,24,18,20,22,18,19,17,16,20,21,24,25,18,22,19,17,16,19,24,18,25,20,22,17,16,21,24,18,19,16,17,24,18,21,25,22,18,19,17,16,21,24,18,20,22,18,19,17,16,20,21,24,25,18,22,19,17,16,19,24,18,25,20,22,17,16,21,24,18,19,16,17,24,18,21,25,22,18,19,17,16,21,24,18,20,22,18,19,17,16,20,21,24,25,18,22,19,17,16,19,24,18,25,20,22,17,16,21,24,18,19,16,17,24,18,21,25,22,18,19,17,16,21,24,18,20,22,18,19,17,16,20,21,24,25,18,22,19,17,16,19,24,18,25,20,22,17,16,21,24,18,19,16,17,24,18,21,25,22,18,19,17,16,21,24,18,20,22,18,19,17,16,20,21,24,25,18,22,19,17,16,19,24,18,25,20,22,17,16,21,24,18,19,16,17,24,18,21,25,22,18,19,17,16,21,24,18,20,22,18,19,17,16,20,21,24,25,18,22,19,17,16,19,24,18,25,20,22,17,16,21,24,18,19,16,17,24,18,21,25,22,18,19,17,16,21,24,18,20,22,18,19,17,16,20,21,24,25,18,22,19,17,16,19,24,18,25,20,22,17,16,21,24,18,19,16,17,24,18,21,25,22,18,19,17,16,21,24,18,20,22,18,19,17,16,20,21,24,25,18,22,19,17,16,19,24,18,25,20,22,17,16,21,24,18,19,16,17,24,18,21,25,22,18,19,17,16,21,24,18,20,22,18,19,17,16,20,21,24,25,18,22,19,17,16,19,24,18,25,20,22,17,16,21,24,18,19,16,17,24,18,21,25,22,18,19,17,16,21,24,18,20,22,18,19,17,16,20,21,24,25,18,22,19,17,16,19,24,18,25,20,22,17,16,21,24,18,19,16,17,24,18,21,25,22,18,19,17,16,21,24,18,20,22,18,19,17,16,20,21,24,25,18,22,19,17,16,19,24,18,25,20,22,17,16,21,24,18,19,16,17,24,18,21,25,22,18,19,17,16,21,24,18,20,22,18,19,17,16,20,21,24,25,18,22,19,17,16,19,24,18,25,20,22,17,16,21,24,18,19,16,17,24,18,21,25,22,18,19,17,16,21,24,18,20,22,18,19,17,16,20,21,24,25,18,22,19,17,16,19,24,18,25,20,22,17,16,21,24,18,19,16,17,24,18,21,25,22,18,19,17,16,21,24,18,20,22,18,19,17,16,20,21,24,25,18,22,19,17,16,19,24,18,25,20,22,17,16,21,24,18,19,16,17,24,18,21,25,22,18,19,17,16,21,24,18,20,22,18,19,17,16,20,21,24,25,18,22,19,17,16,19,24,18,25,20,22,17,16,21,24,18,19,16,17,24,18,21,25,22,18,19,17,16,21,24,18,20,22,18,19,17,16,20,21,24,25,18,22,19,17,16,19,24,18,25,20,22,17,16,21,24,18,19,16,17,24,18,21,25,22,18,19,17,16,21,24,18,20,22,18,19,17,16,20,21,24,25,18,22,19,17,16,19,24,18,25,20,22,17,16,21,24,18,19,16,17,24,18,21,25,22,18,19,17,16,21,24,18,20,22,18,19,17,16,20,21,24,25,18,22,19,17,16,19,24,18,25,20,22,17,16,21,24,18,19,16,17,24,18,21,25,22,18,19,17,16,21,24,18,20,22,18,19,17,16,20,21,24,25,18,22,19,17,16,19,24,18,25,20,22,17,16,21,24,18,19,16,17,24,18,21,25,22,18,19,17,16,21,24,18,20,22,18,19,17,16,20,21,24,25,18,22,19,17,16,19,24,18,25,20,22,17,16,21,24,18,19,16,17,24,18,21,25,22,18,19,17,16,21,24,18,20,22,18,19,17,16,20,21,24,25,18,22,19,17,16,19,24,18,25,20,22,17,16,21,24,18,19,16,17,24,18,21,25,22,18,19,17,16,21,24,18,20,22,18,19,17,16,20,21,24,25,18,22,19,17,16,19,24,18,25,20,22,17,16,21,24,18,19,16,17,24,18,21,25,22,18,19,17,16,21,24,18,20,22,18,19,17,本次試卷答案如下：一、選擇題1.C解析：統(tǒng)計軟件可以用于數(shù)據(jù)收集、處理、分析和可視化，功能非常全面。2.A解析：在統(tǒng)計軟件中，使用“去重”功能可以有效地去除重復(fù)記錄。3.A解析：SPSS支持中文界面，方便中文用戶使用。4.A解析：在SPSS中，選擇“文件”菜單中的“新建”選項(xiàng)可以創(chuàng)建一個新的數(shù)據(jù)文件。5.A解析：在SPSS中，選擇“分析”菜單中的“描述統(tǒng)計”選項(xiàng)可以計算一組數(shù)據(jù)的均值。6.C解析：數(shù)據(jù)安全既涉及數(shù)據(jù)存儲的安全性，也涉及數(shù)據(jù)傳輸?shù)陌踩浴?.A解析：在統(tǒng)計軟件中，AES加密是最常用的對稱加密方式。8.B解析：在統(tǒng)計軟件中，設(shè)置數(shù)據(jù)安全密碼的方法是選擇“工具”菜單中的“選項(xiàng)”選項(xiàng)。9.C解析：數(shù)據(jù)備份是指將數(shù)據(jù)從原存儲設(shè)備轉(zhuǎn)移到其他存儲設(shè)備上，并加密存儲。10.B解析：在統(tǒng)計軟件中，進(jìn)行數(shù)據(jù)備份的方法是選擇“文件”菜單中的“另存為”選項(xiàng)。二、填空題1.數(shù)據(jù)收集、數(shù)據(jù)清洗、數(shù)據(jù)分析、數(shù)據(jù)可視化解析：統(tǒng)計軟件的主要功能包括數(shù)據(jù)收集、數(shù)據(jù)清洗、數(shù)據(jù)分析和數(shù)據(jù)可視化。2.提高數(shù)據(jù)質(zhì)量、降低數(shù)據(jù)誤差、方便數(shù)據(jù)分析、提高工作效率解析：數(shù)據(jù)清洗的目的在于提高數(shù)據(jù)質(zhì)量、降低數(shù)據(jù)誤差、方便數(shù)據(jù)分析和提高工作效率。3.文件解析：在SPSS中，選擇“文件”菜單中的“新建”選項(xiàng)可以創(chuàng)建一個新的數(shù)據(jù)文件。4.數(shù)據(jù)存儲安全、數(shù)據(jù)傳輸安全、數(shù)據(jù)加密安全解析：數(shù)據(jù)安全主要涉及數(shù)據(jù)存儲安全、數(shù)據(jù)傳輸安全和數(shù)據(jù)加密安全。5.對稱解析：在統(tǒng)計軟件中，AES加密是最常用的對稱加密方式。6.工具→選項(xiàng)解析：在統(tǒng)計軟件中，設(shè)置數(shù)據(jù)安全密碼的方法是選擇“工具”菜單中的“選項(xiàng)”選項(xiàng)。7.其他存儲設(shè)備上解析：數(shù)據(jù)備份是指將數(shù)據(jù)從原存儲設(shè)備轉(zhuǎn)移到其他存儲設(shè)備上。8.文件→另存為解析：在統(tǒng)計軟件中，進(jìn)行數(shù)據(jù)備份的方法是選擇“文件”菜單中的“另存為”選項(xiàng)。三、簡答題1.解析：統(tǒng)計軟件在數(shù)據(jù)收集、處理、分析和可視化方面的作用主要包括：（1）數(shù)據(jù)收集：方便快捷地收集各種類型的數(shù)據(jù)；（2）數(shù)據(jù)清洗：提高數(shù)據(jù)質(zhì)量，降低數(shù)據(jù)誤差；（3）數(shù)據(jù)分析：進(jìn)行統(tǒng)計分析，挖掘數(shù)據(jù)中的規(guī)律和趨勢；（4）數(shù)據(jù)可視化：將數(shù)據(jù)以圖形化的方式呈現(xiàn)，直觀地展示數(shù)據(jù)特征。2.解析：數(shù)據(jù)清洗的目的包括：（1）提高數(shù)據(jù)質(zhì)量：去除無效、錯誤或重復(fù)的數(shù)據(jù)；（2）降低數(shù)據(jù)誤差：減少數(shù)據(jù)中的錯誤和異常值；（3）方便數(shù)據(jù)分析：為后續(xù)的數(shù)據(jù)分析提供準(zhǔn)確、可靠的數(shù)據(jù)基礎(chǔ)；（4）提高工作效率：簡化數(shù)據(jù)處理過程，節(jié)省時間。3.解析：數(shù)據(jù)安全在統(tǒng)計學(xué)研究中的重要性體現(xiàn)在以下幾個方面：（1）保護(hù)研究者隱私：確保研究者在數(shù)據(jù)收集、處理和分析過程中的隱私不被泄露；（2）防止數(shù)據(jù)篡改：保障數(shù)據(jù)的真實(shí)性和可靠性，防止他人惡意篡改數(shù)據(jù)；（3）保護(hù)數(shù)據(jù)完整性：確保數(shù)據(jù)在存儲、傳輸和加工過程中的完整性；（4）提高研究質(zhì)量：保障研究結(jié)果的真實(shí)性和可信度。4.解析：數(shù)據(jù)備份的意義包括：（1）防止數(shù)據(jù)丟失：在數(shù)據(jù)丟失的情況下，可以快速恢復(fù)數(shù)據(jù)；（2）保障數(shù)據(jù)安全：降低數(shù)據(jù)被惡意攻擊、病毒感染或硬件故障等風(fēng)險；（3）提高工作效率：減少因數(shù)據(jù)丟失而導(dǎo)致的重復(fù)工作；（4）方便數(shù)據(jù)共享：在數(shù)據(jù)共享過程中，確保數(shù)據(jù)的完整性和一致性。四、計算題1.解析：（1）平均年齡=(10×4+11×6+12×8+13×5+14×7)÷30=11.833（2）年齡的中位數(shù)=12（3）年齡的眾數(shù)=182.解析：（1）滿意度平均等級=(非常滿意×20+滿意×30+一般×40+不滿意×10)÷100=18（2）滿意度的中位數(shù)=18（3）滿意度等級的眾數(shù)=滿意五、論述題解析：數(shù)據(jù)安全在統(tǒng)計學(xué)研究中的重要性主要體現(xiàn)在以下幾個方面：（1）保護(hù)研究者隱私：在數(shù)據(jù)收集、處理和分析過程中，研究者可能會涉及到個人隱私信息，如姓名、地址、電話等。數(shù)據(jù)安全可以確保這些隱私信息不被泄露。（2）防止數(shù)據(jù)篡改：在數(shù)據(jù)收集、處理和分析過程中，數(shù)據(jù)可能會被惡意篡改，導(dǎo)致研究結(jié)果失真。數(shù)據(jù)安全可以保障數(shù)據(jù)的真實(shí)性和可靠性。（3）保護(hù)數(shù)據(jù)完整性：數(shù)據(jù)在存儲、傳輸和加工過程中可能會受到損壞或丟失。數(shù)據(jù)安全可以確保數(shù)據(jù)的完整性，降低數(shù)據(jù)損壞或丟失的風(fēng)險。（4）提高研究質(zhì)量：數(shù)據(jù)安全可以保障研究結(jié)果的真實(shí)性和可信度，提高研究質(zhì)量。結(jié)合實(shí)際案例，以下是一個關(guān)于數(shù)據(jù)安全的重要性案例：某研究者在進(jìn)行一項(xiàng)關(guān)于青少年網(wǎng)絡(luò)成癮的研究時，收集了大量包含青少年個人信息的數(shù)據(jù)。在研究過程中，研究者嚴(yán)格遵守數(shù)據(jù)安全規(guī)定，對數(shù)據(jù)進(jìn)行加密存儲和傳輸，確保數(shù)據(jù)不被泄露。最終，研究結(jié)果得到了學(xué)術(shù)界的高度認(rèn)可。六、應(yīng)用題解析：（1）平均年收入=(15+20+18+22+19+16+21+17+23+24+25+18+22+19+16+17+20+21+24+25+18+23+20+19+17+16+21+22+18+25+19+16+17+24+20+22+18+21+17+16+20+21+24+25+18+23+20+19+17+16+21+24+18+25+20+22+17+16+19+24+18+25+20+22+17+16+19+24+18+21+25+22+18+19+17+16+21+24+18+20+22+18+19+17+16+20+21+24+25+18+22+19+17+16+19+24+18+25+20+22+17+16+21+24+18+19+16+17+24+18+21+25+22+18+19+17+16+21+24+18+20+22+18+19+17+16+20+21+24+25+18+22+19+17+16+19+24+18+25+20+22+17+16+21+24+18+19+16+17+24+18+21+25+22+18+19+17+16+21+24+18+20+22+18+19+17+16+20+21+24+25+18+22+19+17+16+19+24+18+25+20+22+17+16+21+24+18+19+16+17+24+18+21+25+22+18+19+17+16+21+24+18+20+22+18+19+17+16+20+21+24+25+18+22+19+17+16+19+24+18+25+20+22+17+16+21+24+18+19+16+17+24+18+21+25+22+18+19+17+16+21+24+18+20+22+18+19+17+16+20+21+24+25+18+22+19+17+16+19+24+18+25+20+22+17+16+21+24+18+19+16+17+24+18+21+25+22+18+19+17+16+21+24+18+20+22+18+19+17+16+20+21+24+25+18+22+19+17+16+19+24+18+25+20+22+17+16+21+24+18+19+16+17+24+18+21+25+22+18+19+17+16+21+24+18+20+22+18+19+17+16+20+21+24+25+18+22+19+17+16+19+24+18+25+20+22+17+16+21+24+18+19+16+17+24+18+21+25+22+18+19+17+16+21+24+18+20+22+18+19+17+16+20+21+24+25+18+22+19+17+16+19+24+18+25+20+22+17+16+21+24+18+19+16+17+24+18+21+25+22+18+19+17+16+21+24+18+20+22+18+19+17+16+20+21+24+25+18+22+19+17+16+19+24+18+25+20+22+17+16+21+24+18+19+16+17+24+18+21+25+22+18+19+17+16+21+24+18+20+22+18+19+17+16+20+21+24+25+18+22+19+17+16+19+24+18+25+20+22+17+16+21+24+18+19+16+17+24+18+21+25+22+18+19+17+16+21+24+18+20+22+18+19+17+16+20+21+24+25+18+22+19+17+16+19+24+18+25+20+22+17+16+21+24+18+19+16+17+24+18+21+25+22+18+19+17+16+21+24+18+20+22+18+19+17+16+20+21+24+25+18+22+19+17+16+19+24+18+25+20+22+17+16+21+24+18+19+16+17+24+18+21+25+22+18+19+17+16+21+24+18+20+22+18+19+17+16+20+21+24+25+18+22+19+17+16+19+24+18+25+20+22+17+16+21+24+18+19+16+17+24+18+21+25+22+18+19+17+16+21+24+18+20+22+18+19+17+16+20+21+24+25+18+22+19+17+16+19+24+18+25+20+22+17+16+21+24+18+19+16+17+24+18+21+25+22+18+19+17+16+21+24+18+20+22+18+19+17+16+20+21+24+25+18+22+19+17+16+19+24+18+25+20+22+17+16+21+24+18+19+16+17+24+18+21+25+22+18+19+17+16+21+24+18+20+22+18+19+17+16+20+21+24+25+18+22+19+17+16+19+24+18+25+20+22+17+16+21+24+18+19+16+17+24+18+21+25+22+18+19+17+16+21+24+18+20+22+18+19+17+16+20+21+24+25+18+22+19+17+16+19+24+18+25+20+22+17+16+21+24+18+19+16+17+24+18+21+25+22+18+19+17+16+21+24+18+20+22+18+19+17+16+20+21+24+25+18+22+19+17+16+19+24+18+25+20+22+17+16+21+24+18+19+16+17+24+18+21+25+22+18+19+17+16+21+24+18+20+22+18+19+17+16+20+21+24+25+18+22+19+17+16+19+24+18+25+20+22+17+16+21+24+18+19+16+17+24+18+21+25+22+18+19+17+16+21+24+18+20+22+18+19+17+16+20+21+24+25+18+22+19+17+16+19+24+18+25+20+22+17+16+21+24+18+19+16+17+24+18+21+25+22+18+19+17+16+21+24+18+20+22+18+19+17+16+20+21+24+25+18+22+19+17+16+19+24+18+25+20+22+17+16+21+24+18+19+16+17+24+18+21+25+22+18+19+17+16+21+24+18+20+22+18+19+17+16+20+21+24+25+18+22+19+17+16+19+24+18+25+20+22+17+16+21+24+18+19+16+17+24+18+21+25+22+18+19+17+16+21+24+18+20+22+18+19+17+16+20+21+24+25+18+22+19+17+16+19+24+18+25+20+22+17+16+21+24+18+19+16+17+24+18+21+25+2