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A dotplot of the distribution of height for Mrs. Navard’s class is shown, along with some numerical summaries of the data. Suppose that Mrs. Navard has the entire class stand on a 6-inch high platform and then asks the students to measure the distance from the top of their heads to the ground.

What are the standard deviation and IQR of the new distribution of distance?

1. SD = 4.29, IQR = 13
2. SD = 10.29, IQR = 13
3. SD = 4.29, IQR = 7
4. SD = 10.29, IQR = 7
5. SD = 7.29, IQR = 10

A dotplot of the distribution of height for Mrs Navards class is shown along with some numerical summaries of the data Suppose that Mrs Navard has the entire cl class=

Respuesta :

Answer:5

Explanation:

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The standard deviation and the Interquartile range of the new distribution of distance is :

  • Standard deviation = 4.29
  • IQR = 13

From the dot plot given :

  • Standard deviation = 4.29
  • Interquartile range, IQR = Q3 - Q1 = (70 - 63) = 7

When a constant value is added to all observations in a set :

  • Standard deviation remains the same
  • The mean, median, IQR, range all increases by the constant value.

Therefore, if 6 inches is added to each observation in the set;

  • Standard deviation = 4.29
  • IQR = 7 + 6 = 13

Therefore, the standard deviation and IQR of the new distance will be 4.29 and 13 respectively.

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