Question

1. Find the mean, median, mode and midrange for each gender. Women Men 2. Find the range and standard deviation for each gender. Women Men GENDER WEIGHT Male 191 Male 222 Female 136 Male 168 Female 160 Female 101 Male 154 Female 126 Female 119 Male 178 Male 155 Male 190 Female 165 Male 170 Male 178 Female 102 Male 202 Female 135 Male 169 Female 137 Female 140 Male 184 Female 115 Male 149 Female 126 Male 160 Male 181 Female 140 Female 121 Female 124 Male 158

Answer 1

1)To find the mean, median, mode and midrange for each gender.

From the given data,

Male: 191,222,168,154,178,155,190,170,178,202,169,184,149,160,181,158

For Men:

Mean is,

`=(191+222+168+154+178+155+190+170+178+202+169+184+149+160+181+158)/(16)`
`=(2809)/(16)=175.5625`

Mean is 175.5625

Arrange the given data in ascending order,

149,154,155,158,160,168,169,170,178,178,181,184,190,191,202,222

Median is,

`=(170+178)/(2)=174`

Median is 174

The mode is one of the values of the measures of central tendency. This value gives us a rough idea about which of the items in a data set tend to occur most frequently.

Mode is 178.

Female: 136,160,101,126,119,165,102,135,137,140,115,126,140,121,124

For Women:

Mean is,

`=(136+160+101+126+119+165+102+135+137+140+115+126+140+121+124)/(15)`
`=129.8`

Mean is 129.8

Arrange the given data in ascending order,

101,102,115,119,121,124,126,126,135,136,137,140,140,160,165

Median is 126

Mode is 126,140