# A normally distributed data set has a mean of 53 and a standard deviation of 2.5. What Z-score corresponds to a data value of 47?

$Z = - 2.4$
Just use the formula $Z = \frac{X - \mu}{\sigma}$ to get $Z = \frac{47 - 53}{2.5} = - \frac{6}{2.5} = - 2.4$.
{"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 3, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0}