Question

So for the question I have, is 32 people responded to a survey question regarding how many pets they currently owned. 3 people said 0, 4 said 1, 7 said 2, 4 said 3, 2 said 4, 2 said 5, 2 said 6, 1 said 7, 1 said 8, 1 said 9, 1 said 11, 1 said 14, and 1 said 18. leaving 12,13,15,16,17 with no results.

how do i figure out this below?

Count, Minimum ,Maximum,1st Quartile ,3rd Quartile ,Median ,Mean ,Standard Deviation ,Mode ,Z Value for Minimum .Z Value for Maximum ,Range? Thank you

Answer 1

Count

Count is the total count of the data.

Thus, the count is 30.

Minimum

Minimum is the minimum value of the data points. Thus, the minimum is 0.

Maximum

Maximum is the maximum value of the data points. Thus, the maximum is 18.

1st quartile

First quartile is the 7.5th value.

This is 7th value + 8th value by 2.

= (1+2)/2

= 1.5

3rd quartile

First quartile is the 22.5th value.

This is 22nd value + 23rd value by 2.

= (5+6)/2

= 5.5

Median

First quartile is the 15th value.

= 3

Mean

Mean is equal to the sum of all values, divided by the number of values.

The sum of the values= 3*0 + 4*1 + 7*2 + 4*3 + 2*4 + 2*5 + 2*6 + 1*7 + 1*8 + 1*9 + 1*11 + 1*14 + 1*18

= 0+4+14+12+8+10+12+7+8+9+11+14+18

= 4+26+18+19+17+25+18

= 30+37+42+18

= 67+60

= 127/ 30

= 4.23

Standard deviation

This is the sum of squared deviations from the mean.

= sqrt (sum(x-mean)²/ n-1)

= 4.231926

Mode

The mode is the most frequently occuring value. The value is 2.

Z value for minimum

= (0-4.23)/4.231926

= -0.9995449

Z value for maximum

= (18-4.23)/4.231926

= 3.253838

Range

The range is the difference between the maximum value and the minimum value. Thus,

range= 18-0

= 18