<prompt> Hlalosa phapang lipakeng tsa phapano ea mantsoe le kheloha e tloaelehileng.nan  <response>: Instruction in English: Describe the difference between the terms variance and standard deviation. . Response in English: Variance and standard deviation are both statistical measures used to quantify the dispersion of a set of data points around the mean. They provide an estimation of the spread of the data in the sample.Variance is the average of the squared differences between each data point and the mean value of the dataset. It is calculated by summing the squared differences of each data point from the mean, then dividing by the number of data points. Variance is a measure of how spread out the data is, and larger values indicate that the data is more spread out.Standard deviation, on the other hand, is the square root of variance. It is the most commonly used measure of dispersion, as it is expressed in the same units as the data, whereas variance is expressed in squared units. Standard deviation is an estimate of the average distance between each data point and the mean, and like variance, larger values indicate greater dispersion in the data.In summary, variance is the squared average deviation of the data from the mean, while standard deviation is the square root of variance, which makes it more intuitive and easier to interpret in terms of the original data. . Response in Sesotho: Phapang le ho kheloha ho tloaelehileng ke mehato ea lipalo-palo e sebelisoang ho lekanya ho hasana ha sehlopha sa lintlha tsa data ho potoloha moelelo. Ba fana ka khakanyo ea ho hasana ha data sampuling. Phapang ke karolelano ea liphapano tse lisekoere lipakeng tsa ntlha ka ngoe ea data le boleng bo boleloang ba dataset. E baloa ka ho akaretsa liphapang tsa lisekoere tsa ntlha ka ngoe ea data ho tloha ho moelelo, ebe e arola ka palo ea lintlha tsa data. Phapang ke tekanyo ea hore na data e phatlalalitsoe joang, me litekanyetso tse kholo li bontša hore data e phatlalalitsoe haholoanyane. Ho kheloha ho tloaelehileng, ka lehlakoreng le leng, ke sekoere motso oa phapang. Ke mokhoa o sebelisoang haholo oa ho hasanya, kaha o hlahisoa ka likarolo tse tšoanang le tsa data, athe phapang e hlahisoa ka li-squared units. Phapang e tloaelehileng ke khakanyo ea sebaka se mahareng pakeng tsa ntlha ka ngoe ea data le moelelo, me joalo ka phapang, litekanyetso tse kholo li bontsa phallo e kholo ho data. Ka bokhutsoanyane, phapano ke kakaretso e khelohileng ea squared ea data ho tsoa ho moelelo, athe ho kheloha ho tloaelehileng ke sekoere motso oa phapang, e leng se etsang hore e be bonolo le ho hlalosa habonolo ho latela data ea mantlha. 