Answer to Question #284160 in Statistics and Probability for Aashish

Question

The table below shows the frequency distribution for the variable level of satisfaction with nursing care by 475 women in the maternal health ward at hospital X.

Level of satisfaction. Frequency

Very satisfied. 121

Satisfied. 161

Neutral. 90

Dissatisfied. 51

Very dissatisfied. 52

(I) what measure of location can you established from this data?

(Ii) find the measure of location in (I)

(Iii) What measure of location is appropriate to describe the data set?

(Iv) Draw a pie chart and bar graph for the data and briefly interpret

Answer 1

i)

Measures of location describe the central tendency of the data. They include the mean, median and mode.

for the given data it can be established mode: the value that occurs most frequently

ii)

mode appropriates Level of satisfaction: Satisfied with frequency 161

iii)

The mean and the median can be calculated to help you find the “center” of a data set. The mean is the best estimate for the actual data set, but the median is the best measurement when a data set contains several outliers or extreme values.

mean is sum of the observations divided by the number of observations

median is defined as the middle point of the ordered data

iv)

in bar graph frequency of level of satisfaction is defined by height of column

in pie chart frequency of level of satisfaction is defined by sectors of circle of different colours