Most American households have one digital video recorder (DVR), and many have more than one. A sample of 25 households produced the following measurements of x, the number of DVRS in the household. 10311 10310 133 3 1|121 2 3 2 121 (a) Is the distribution of x, the number of DVRS in a household, symmetric or skewed? Explain. O The distribution is expected to be symmetric since we expect roughly equal proportions of households to lie on the left and right of the peak of the distribution. O The distribution is expected to be skewed right since we expect a greater proportion of households to lie to the left of the peak of the distribution than to the right of the peak. O The distribution is expected to be skewed left since we expect a greater proportion of households to lie to the left of the peak of the distribution than to the right of the peak. O The distribution is expected to be skewed left since we expect a greater proportion of households to lie to the right of the peak of the distribution than to the left of the peak. O The distribution is expected to be skewed right since we expect a greater proportion of households to lie to the right of the peak of the distribution than to the left of the peak. (b) Guess the value of the mode, the value of x that occurs most frequently. (c) Calculate the mean, median, and mode for these measurements. mean median mode (d) Draw a relative frequency histogram for the data set. Household DVRS Household DVRS Household DVRS Household DVRS 0.60 0.55 0.50 0.45 0.40 0.35 0.30 0.25 0.20 0.15 0.60 0.55 0.50 0.45 0.40 0.35 0.30 0.25 0.20 0.15 0.60 0.55 0.50 0.45 0.40 E 0.35 0.30 0.25 0.20 * 0.15 0.60 0.55 0.50 0.45 0.40 0.35 0.30 0.25 0.20 0.15