A random sample of 32 male college students is selected. Each student is asked his height (to the nearest inch). The heights are shown in the frequency distribution below. Construct a histogram and a frequency polygon for the data. Height 66 67 68 69 70 71 72 73 74 75 Frequency 2 3 1 3 2 6 4 6 3 2 Select a histogram representing the given data frequency distribution. O A. Heights of Male College O B. Heights of Male College Students Students Q 66 67 68 69 70 71 72 73 74 75 66 67 68 69 70 71 72 73 74 75 O C. Heights of Male College OD. Heights of Male College Students Students Q 66 67 68 69 70 71 72 73 74 75 66 67 68 69 70 71 72 73 74 75 Select a polygon representing the given data frequency distribution.A professor had students keep track of their social interactions for a week. The number of social interactions over the week is shown in the following grouped frequency distribution. Identify the lower limit of the third class Number of Social Interactions Frequency 30-34 13 35-39 14 40-44 14 45-49 11 50-54 15 55-59 12 60-64 65-69 70-74 75-79d. What differences do you observe between the two stem-and-leaf plots? What explanations can you offer for these differences? O A. There is a higher frequency of actors in their forties and fifties than actresses and a lower frequency of actors in their twenties and thirties than actresses; this could be explained by actors being older when they win an award. O B. There is a higher frequency of actors in their sixties and seventies than actresses; this could be explained by actors being older when they win an award. O C. There is a lower frequency of actors in their forties and fifties than actresses and a higher frequency of actors in their twenties and thirties than actresses; this could be explained by actors being younger when they win an award.The stem-and-leaf plots compare the ages of 30 actors and actresses at the time they won an award. Actors Stems Actresses 014667 Complete parts a through d below. 98753220 001133444557 88776543322100 OURWN 11127 6651 210 1011 7 3 8 a. What is the age of the youngest actor to win the award? years old b. What is the age difference between the oldest and the youngest actress to win an award? years c. What is the oldest age shared by two actors to win an award? years old d. What differences do you observe between the two stem-and-leaf plots? What explanations can you offer for these differences?Find the mean for the data items in the given frequency distribution. Score, x 2 3 4 5 6 7 Frequency, f 3 4 4 5 3 3 6 The mean is (Round to 3 decimal places as needed. )Find the median for the following group of data items. 110, 50, 80, 50, 70 The median is . (Type an integer or a decimal.)