# Following set of data please determine the range, interquartile range, median and mode. 168,167,160,163,176,160,185,190,167,166,171,190,162,167,163,190,192,168,172,155,179,164,172,184,154,181 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

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