 Hello and welcome to the session. In this session we will discuss a question which says that considering the following stem and leaf plot which shows the ages in years of 45 years' presence at the time of innovation and here the stems are given as 4, 5 and 6 and the corresponding leaves for the stem 4 are 2, 3, 6, 6, 7, 7, 8, 9 and 9 and the corresponding leaves for the stem 5 are given as 0, 0, 1, 1, 1, 1 2, 2, 4, 4, 4, 5, 5, 5, 5 7, 7, 7, 7, 7 and 8 and the corresponding leaves of 6 are that is the corresponding leaves for the stem 6 are 0, 1, 1, 1, 2, 4, 4, 5, 8 and 9 Now answer the following questions First one is what is the youngest age at which a president was inaugurated? Second part, what is the oldest age at which the president was inaugurated? Third part, the age in which maximum number of US presidents were inaugurated and fourth part is what is the range of the ages of 44 US presidents? Now before starting the solution of this question we should know a result and that was the stem and leaf plot Now the stem and leaf plot is constructed by separating the digits of each number into two groups, one as a stem and the other as, now after separating the data, the left most digit is termed as a stem, the right most digit is termed as a leaf. Now consider 45 as one of the numbers then 4 is the stem and 5 is the leaf Now this result will work out as a key idea for solving out the given question and now we will start with the solution Now in the question the ages of 45 US presidents at the time of inauguration is given Now here if we combine the leaf and stem digits we will get the ages Now the key idea we will use the concept of stem and leaf plot Now in the first row the stem is 4 and its corresponding first leaf is the age is 42 on combining the second third fourth fifth ninth leaf we will get the other ages also So in the first row on combining the corresponding leaves with the stem we get the ages as 42 43 46 46 47 47 40 age 49 Similarly in the second row the ages can be read as 50 51 51 51 51 52 52 54 54 54 54 54 also the ages Now in the third row the stem is 6 and the corresponding leaves are 0 1 1 1 2 4 4 5 8 9 So the ages can be read as 61 61 61 62 64 64 68 we have read all the ages from the stem and leaf plot Now in the first part we have to find that what is the youngest age at which a president was inaugurated Now here we can see that among all the stems the smallest digit is 4 So we will find the corresponding smallest leaf for the stem that we will get the youngest age at which a president was inaugurated So here the youngest age will be 42 So for the first part the youngest age at which a president was inaugurated is 42 Now in the second part we have to find that what is the oldest age at which the president was inaugurated Now in the third row we have the largest digit that is 6 which is the largest stem and corresponding to that we have the following ages Among all these ages we can see that the oldest age is 69 So the oldest age at which a president was inaugurated is 69 Now in the third part we have to find the age in which the maximum number of U.S. presidents were inaugurated Now from the stem of leaf plot you can see that the leaf 4 is coming the maximum in number out of all Now here you can see that 4 is the leaf with the stem 5 and also it is the leaf with the stem 6 but the maximum number of times it is coming with the stem 5 that is 4 is coming with the leaf with the stem 5 So we can write that the leaf 4 is coming with the stem 5 which is the maximum number of U.S. presidents were inaugurated but we have to find what is the range of the ages of 44 U.S. presidents Now the ages of the presidents are from 42 to 69 minus 42 that is the highest age minus the lowest which is equal to 27 So this is the solution of the given question and if you all have enjoyed the session