Question

Question 1 (10 points): The following data represent the social ambivalence seores Sor 16 peopie as measured by a peychological test. (The highher the soore, the stronger the ambivalence.) 1013 12 14 15 L1 10 8 10 8 19 16 11 179 (a) Find the sanaple encan (b) Fitxd the wedisn ambivalenme seore. What is the salue of the mocke (e) Basosd on the valurs sif t un and msliun is the previcas tu qustions, are the sureands symmetric or skewed Wh If you were writing a report to rkseribe thee data, wic re of cestral tewleay wdd you use? Explain of tineos per week ech of the stuleits cherkvd the neus onlinsc was

Answer 1

Following table shows the ordered data set and sum of data values:

S.No.	X
1	8
2	8
3	9
4	9
5	10
6	10
7	10
8	11
9	11
10	12
11	13
12	14
13	15
14	16
15	17
16	19
Total	192

(a)

The mean is

(b)

Median: Since there are 16 data values so median will be average of 8th and 9th data values. So

Mode is the data value with highest frequency. Hence, mode is 10.

(c)

Since mean is greater than median and mode is less than median so distribution is skewed to right. That is it is positively skewed.

(d)

Since distribution is not symmetric so median will be appropriate measure of central tendency.