First sort these data, the number of data is 26.

The sorted data is,

154 155 160 160 162 163 163 164 166 167 167 167 168 168 171 172 172 176 179 181 184 185 190 190 190 192

I sorted this using MATLAB.

1) The range = 192-154...

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First sort these data, the number of data is 26.

The sorted data is,

154 155 160 160 162 163 163 164 166 167 167 167 168 168 171 172 172 176 179 181 184 185 190 190 190 192

I sorted this using MATLAB.

1) The range = 192-154 = 38

2) Mode = 167 and 190 both have three times

3) The median is 13 th and 14th data,

the median = (168+171)/2 = 169.5

4) interquartile range,

Q1 = 26/4 data = 6.5 that is the mean of 6 th and 7 elements,

Q1 = (163+163)/2 = 163

Q3 = 3*26/4 = 19.5 that is the mean of19th and 20th elements

Q3 = (179+181)/2 = 180

Therefore the interquartile range = Q3-Q1

= 180 - 163 = 17