Question

A random sample of 15 college students were asked "How many hours per week typically do you work outside the home?" Their 13 responses are shown on the right 31 13 Determine the shape of the distribution of hours worked by drawing a frequency histogram and computing the mean and median 18 Which measure of central tendency better describes hours worked? 16 18 25 28 20 24 15 Choose the correct frequency histogram below Hours Worked per Week OA Hours Worked Per Week per Week 0 10 20 30 hours is the histogram for the data set skeved right, skewed left or svmmetrndc? symmetric skewed left skewed right The mean number of hours worked by colege students outside the home is approximatey 17 133 hours Type an integer or cecimal rounded to three deoma places as needed lick to select your answers

Answer 1

From the given data (in ascending order)

1
6
7
13
13
15
16
18
18
20
22
24
25
28
31

Our hitogram plot is

Here

Mean=total/n=257/15=17.133

Mode=13,18 (bimodal)

Median=18(8th)

(A) Correct plot is option(C)

(b) This is left skewed as median is larger than mean

(c) Mean=257/15=17.133

Median=18